Stretch it by a distance x with your hands. Explore. How mich a spring extends will also depend on the spring constant of the spring. C21 Physics Teaching for the 21st Century, https://www.wired.com/2012/08/do-rubber-bands-act-like-springs, https://en.wikipedia.org/wiki/Hysteresis#Elastic_hysteresis, Teacher Feedback: How I use C21 in my class, $A$ = Cross-sectional area of solid [m$^2$], $F$ = Force applied to elastic material [N], $L$ = change in length of the elastic material [m]. Metric tape measure Learn what elastic potential energy means and how to calculate it. We can use common household objects to measure properties that match physical laws. Small metal hanger The best answers are voted up and rise to the top, Not the answer you're looking for? In the SI system, rotational stiffness is typically measured in. F is the spring force (in N); After each launch, have your helper circle where they land. If you call the equilibrium position of the end of the spring (i.e., its natural position with no forces applied) x = 0, then extending the spring will lead to a positive x, and the force will act in the negative direction (i.e., back towards x = 0). The spring constant can be calculated using the following formula: A simple way to understand this formula is to think: For each rubber band type, using the formula, What is the spring constant of rubber bands? B D E F. G H T Displacemerl Washers 0.006 0.009 Washers 0.011 14 4 y = 219.72x + 0.9338" 0.014 0.016 0.02 12 10 RRE 0 von WNP 8 9 6 0.023 0.027 0.034 0.041 0.048 0.055 4 2 0 0 0.01 0.02 0.03 0.04 0.05 0.06. Direct link to Sahil Dahiya's post In question 3, why is the, Posted 7 years ago. To do so I need the rubber band spring constant. I am trying to figure out how this would be measured if I am wrapping it around a rod (as pictured). I am trying to calculate the stored energy of the rubber band. Background On stretching, they do not obey Hookes law very precisely. The strain is the relative change in the length of the solid ($\Delta L/L_0$). The spring constant, k, is the gradient of the straight-line portion of the graph of F vs. x; in other words, force applied vs. displacement from the equilibrium position. The formula to calculate the applied force in Hooke's law is: The main problems I have with your experiment and data is that your significant figures and error propagation calculations are off. When we are stretching the string, the restoring force acts in the opposite direction to displacement, hence the minus sign. The elastic potential energy is equal to the work done (ignoring losses to heat or other wastage), and you can easily calculate it based on the distance the spring has been stretched if you know the spring constant for the spring. Take a rubber band. Now you simply have to input the known values and solve to find the strength of the springs needed, noting that the maximum compression, 0.1 m is the value for x youll need to use: This could also be expressed as 44.145 kN/m, where kN means kilonewton or thousands of newtons.. Connect and share knowledge within a single location that is structured and easy to search. Since you're stretching two of them, you'll feel twice the force, so. Where a three-dimensional elastic material obeys Hooke's law. This is where you will line your feet up when you shoot your rubber bands. Average your results for each stretch length and make a graph of your results by putting "Stretch Length (cm)" on the x-axis (this will be 10 cm, 15 cm, 20 cm, 25 cm and 30 cm) and "Launch Distance (cm)" on the y-axis (this will be the distances you measured). Create your free account or Sign in to continue. Therefore, a solid with a greater value of $Y$ will stretch less than a solid with a smaller $Y$, when the same force is applied. The most common method to get values for a graph representing Hookes law is to suspend the spring from a hook and connect a series of weights whose values are weighted accurately. . The materials are stretchable because they contain long-chain molecules bound up in a bundle and might straighten out once stretched. Explain it in terms of the structure of the band, if that is relevant. In our earlier analysis, we have considered the ideal spring as a one-dimensional object. This is equal to one half the mass (of the rubber band) multiplied by its velocity (in meters per second) squared. Direct link to Kyle Delaney's post Exercise 2 is worded very, Posted 6 years ago. I measured and recorded this new length. F denotes the force, and x denotes the change in spring length. Decide how far you want to stretch or compress your spring. Calculate the energy. It is different for different springs and materials. Measure how far you stretched the rubber band with a ruler and record the length, in meters (m), as your displacement ( x ) Release the rubber band and record how far it travels in meters.. Create a data table with two columns. As always, the choice of the positive direction is always ultimately arbitrary (you can set the axes to run in any direction you like, and the physics works in exactly the same way), but in this case, the negative sign is a reminder that the force is a restoring force. Here, you can see that PEel = 50 J and x = 0.5 m. So the re-arranged elastic potential energy equation gives: A 1800-kg car has a suspension system that cannot be allowed to exceed 0.1 m of compression. Uncertainty calculation for force: Uncertainty of: m = 0.2 g for each coin g = 9.81 m/s2 is assumed to be known exactly n = number of coins is assumed to be known exactly m = 0.007 kg 0.0002 kg The # of washers represents the weight attached to the rubber band so you are actually plotting Weight versus Displacement. So the question tells you that F = 6 N and x = 0.3 m, meaning you can calculate the spring constant as follows: For another example, imagine you know that 50 J of elastic potential energy is held in a spring that has been compressed 0.5 m from its equilibrium position. So how does 2 x U = 2.9? Relating graphs of experimental data to given equations deformation) by 0.15 m. Calculate the spring constant. Calculate the spring constant. Is Youngs modulus the same as modulus of elasticity? Restoring force means that the action of the force is to return the spring to its equilibrium position. i don't understand how exercise 3 went from 0.05N/mm^2 to 5 x 10^4 N/m^2. It always has a positive value. Each spring can be deformed (stretched or compressed) to some extent. Springs are found in several objects that we use in our daily life. Using Hookes law is the simplest approach to finding the value of the spring constant, and you can even obtain the data yourself through a simple setup where you hang a known mass (with the force of its weight given by F = mg) from a spring and record the extension of the spring. To stretch the combined system a distance $\Delta x$, you have to apply a force $F$ to the first, and $F$ to the second, doubling the needed force. When a spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length, according to Hookes Law. The size of the relationship between the extension and the restoring force of the spring is encapsulated in the value the spring constant, k. Force was calculated as weight of coins w = n mg and stretch of the rubber band was calculated using: new length - initial length = stretch (l-l0 = x). Can a nuclear winter reverse global warming? We know that W = 3 J and s = 99 cm = 0.99 m. Different rubber bands will have different constants for both laws. prove how energy/volume =1/2 stress.strain. the weight of a ball pulling down a vertical spring). Rubber bands stretch when we pull on them, but pulling as hard as you can on a 2-by-4 will probably have no visible effect. Measure the change in length and the original length for each rubber band; also record the physical properties of each band. Does With(NoLock) help with query performance? Physics Youngs modulus, also referred to as elastic modulus, tensile modulus, or modulus of elasticity in tension is the ratio of stress-to-strain and is equal to the slope of a stressstrain diagram for the material. Simple graphical analysis If the weight on a spring is pulled down and then left free, it will oscillate around its mean position in harmonic motion. As it is stretched (loaded), the curve takes the upper path. Experts are tested by Chegg as specialists in their subject area. Calculate the percent error of your experimental result. Recalculate it without rounding ( I could have put the values in my calculator wrong, so if you get the same value maybe it's me who made the mistake!). A spring with a 6 N weight added to it stretches by 30 cm relative to its equilibrium position. Since the slope of any line on a graph has units of the vertical axis divided by the horizontal axis (slope is defined as a ratio of the change in the vertical axis divided by the change in the horizontal axis), the slope of the line-of-best fit tells you the # of washers per meter of displacement for the rubber band. The way you phrase the question makes it sound like you copied it straight from an assignment. How do you calculate Youngs modulus of rubber? The effective stiffness of simply supported beam is =K=3EI/L^3. This activity brought to you in partnership with Science Buddies. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. Mass conversion from lbs to kg, (=A3/2.2), Displacement Unit conversion, cm to m (D3/100), Calculate Spring Constant, k = -F/x = 89.09/0.5 (=C5/D5). (e.g. Someone please explain, thanks. It tells us about the stiffness of the spring. The stress is the amount of force applied to the object, per unit area ($F/A$). How was the universe created if there was nothing? After launching five rubber bands at a given stretch length, measure the distances from your line to the circles. With the chilled drink calculator you can quickly check how long you need to keep your drink in the fridge or another cold place to have it at its optimal temperature. 123 Fifth Avenue, New York, NY 10160. 5. Energy This problem might appear different to the previous examples, but ultimately the process of calculating the spring constant, k, is exactly the same. Should this be tagged as 'homework'? Ruler (30cm) or flexible tape measure. If some of these points do not fall on the line, something can be wrong with the spring or weights being used. Where F F is the force, x x is the length of extension/compression and k k is a constant of proportionality known as . What is the Youngs modulus of rubber band? Use items of known mass to provide the applied force. One measures the stiffness by changing the force while . By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. For each rubber band type, using the formula PE = kx2, calculate the maximum elastic potential energy (PE). But when the can is opened, the potential energy quickly converts to kinetic energy as the fake snake jumps out. When force is applied to stretch a spring, it can return to its original state once you stop applying the force, just before the elastic limit. This proportionality constant is called the spring constant and is represented by the symbol k (in units of N/m). Direct link to levgenid's post Just above exercise 3 it . How do you find a spring constant? If you're seeing this message, it means we're having trouble loading external resources on our website. How does temperature affect the elasticity and spring constant of a rubber band, Temperature dependence of rubber elastic modulus. Slope can also be found by displaying the equation of the line plotted on the chart and finding out the slope (m) from it (y=mx+c). How do the graphs for Hookes law compare? On the other hand, compression corresponds to a negative value for x, and then the force acts in the positive direction, again towards x = 0. Then, using the scatter plot and a line of best fit, students will determine the spring constant of the rubber band. Our goal is to make science relevant and fun for everyone. the question is number 6 under Data Analysis. After you get the rubber band stretched just a little bit, it is very spring-like. Understanding relationship between Hookes Law and Youngs modulus Thanks for reading Scientific American. It means that as the spring force increases, the displacement increases, too. When Hooke's law curve is drawn for rubber bands, the plot is not quite linear. A simple way to understand this formula is $Y = \frac{\text{stress}}{\text{strain}}$. If the springs load is in kg, convert it into N by multiplying it with gravitational acceleration 9.81 m/s. Rubber band can stretch only its elastic limit that Youngs modulus, numerical constant, named for the 18th-century English physician and physicist Thomas Young, that describes the elastic properties of a solid undergoing tension or compression in only one direction, as in the case of a metal rod that after being stretched or compressed lengthwise returns to its. When contacting us, please include the following information in the email: User-Agent: Mozilla/5.0 _Windows NT 6.1; Win64; x64_ AppleWebKit/537.36 _KHTML, like Gecko_ Chrome/103.0.0.0 Safari/537.36, URL: physics.stackexchange.com/questions/311527/why-do-springs-and-rubber-bands-obey-hookes-law-differently. When an atom has more or less neutrons it is called? This is mainly the cross-section area, as rubber bands with a greater cross-sectional area can bear greater applied forces than those with smaller cross-section areas. Direct link to Anoushka B. I need help figuring out what the spring constant for the rubber The mass of the object is 1OOg. Knowledge awaits. Stiffness is the resistance of an elastic body to deflection or deformation by an applied force and can be expressed as. Projectiles. Paper and pencil or pen Is stiffness the same as spring constant? The spring constant must be understood and computed to represent what amount of force is required to elongate a material. Why does Hookes law not apply for greater forces? After you get the rubber band stretched just a little bit, it is very spring-like. What is the spring constant of rubber bands? We have the formula Stiffness (k)=youngs modulus*area/length. Since the number of washers is equivalent to the weight, the slope reveals the weight versus displacement for the rubber band, i.e., the spring constant, which is defined as force (e.g., weight) versus displacement. Remember the angle and height at which you hold the ruler because you will need to keep it the same for each rubber band launch. You can follow how the temperature changes with time with our interactive graph. However, it can also, to some extent, describe the stretch patterns observed for rubber bands. Direct link to Jacoub's post i don't understand how ex, Posted 7 years ago. The concept of elastic potential energy, introduced alongside the spring constant earlier in the article, is very useful if you want to learn to calculate k using other data. It turns out that the same procedure still applies. Using a scissor, carefully and safely cut a rubber band so that it is becomes a single length of rubber and not a band. (Because the amount of time that the rubber band spends in the air is dependent on its initial height and force of gravity, and these factors should not change between your trials, then how far the rubber band flies depends on its initial velocity.) Three rubber bands of different sizes and thicknesses Several measurements can be taken for displacements against different loads and plotted to obtain a straight line on the force-extension graph. Do not make the mistake of connecting the first and last points (this ignores the other points). Your partner will draw circles around where the flying rubber bands land, so choose a person with a keen eye and some running shoes! There are two simple approaches you can use to calculate the spring constant, using either Hookes law, alongside some data about the strength of the restoring (or applied) force and the displacement of the spring from its equilibrium position, or using the elastic potential energy equation alongside figures for the work done in extending the spring and the displacement of the spring. The line-of-best-fit need not pass through any of the data points. See our meta site for more guidance on how to edit your question to make it better. Was Galileo expecting to see so many stars? Youngs modulus is a measure of stress over strain. Check out 10 similar dynamics calculators why things move . The only additional step is translating the mass of the car into a weight (i.e., the force due to gravity acting on the mass) on each wheel. In other words, it is how easily it is bended or stretched. Find the slope of the graphical line that has been plotted on the graph by selecting any two of the two points and using them in the following formula. Address x is the displacement (positive for elongation and negative for compression, in m). First, rearrange force = spring constant extension to find spring . Within certain limits, the force required to stretch an elastic object such as a metal spring is directly proportional to the extension of the spring. Tip: If you run out of rubber bands, you can always grab some of the ones you already used and reuse them because there will be a chalk circle where they landed. A typical Youngs modulus value for rubber is 0.01 GPa. This experiment takes a very common household item, the rubber band, and applies physical laws (Hookes Law and the Youngs Modulus) to them in a hands-on way. 3. At the outside place you picked, stand where there is lots of clearance in front of you. Why is Youngs modulus a more general descriptor of rubber band action than Hookes law? Example 1 A man weighing 20 lbs stretches a spring by fifty centimeters. Assigning errors and understanding error calculations, Materials/Equipment: For example, in the stress-strain graph for the rubber band, when the band is stretched, its cross-sectional area would decrease and its length would increase. Elasticity of the rubber band is defined as. The negative sign in the equation F = -kx indicates the action of the restoring force in the string. When you stretch the spring you are not stretching the metal wire that it is made from. The law, while very useful in many elastic materials, called linear elastic or Hookean materials, doesnt apply to every situation and is technically an approximation. Before you do that, take a close look at your significant figures and uncertainties in your data, they're not quite right. k = F / (1). Sidewalk chalk But, if you continue to apply the force beyond the elastic limit, the spring with not return to its original pre-stretched state and will be permanently damaged. (Velocity and Acceleration of a Tennis Ball). What is the SI unit of acceleration Class 9? Calculate the standard deviation of the length. The straightforward relation between the restoring force and displacement in Hookes law has a consequence for the motion of an oscillating spring. Preparation Direct link to Aibek Zhylkaidarov's post Why in Exercise1 250J/spr, Posted 7 years ago. Its also possible to directly calculate the spring constant using Hookes law, provided you know the extension and magnitude of the force. Make sure he or she has a piece of chalk. What is the value of the spring constant? Then we marked the point at. This intuitive understanding that an elastic material returns to its equilibrium position after any applied force is removed is quantified much more precisely by Hookes law. The purple shaded area represents the elastic potential energy at maximum extension. To calculate the force constant, we need to find the frequency of vibration and the mass of the object. A great example of the difference between kinetic and potential energy is from the classic "snake-in-a-can" prank. First we selected ten rubber bands all the same size to tie together 2. When the snaky spring is compressed and secured inside the unopened can, it has potential energy. Stretch it by a distance $x$ with your hands. Did you know? Key Concepts: the rotational analog of spring constant is known as rotational stiffness: meet this concept at our rotational stiffness calculator. Compare rubber band action with spring action. Your helper can stand a few meters in front of you, but off to the side, not directly in the line of fire! (3) k = Y A L 0 You know that the force due to the weight of the car is given by F = mg, where g = 9.81 m/s2, the acceleration due to gravity on Earth, so you can adjust the Hookes law formula as follows: However, only one quarter of the total mass of the car is resting on any wheel, so the mass per spring is 1800 kg / 4 = 450 kg. Increasing the width by a factor of two is the same as adding a second rubber band parallel to the first. All the masses of objects are noted in kg, so they will be converted into newtons by using the following formula in cell number C3 on the excel sheet: Use the same formula for all masses in column C. Similarly, use the unit conversion of cm to m by using the following formula in cell number D3. Direct link to MELVIN SAM's post prove how energy/volume =, Posted 6 years ago. Continue reading with a Scientific American subscription. Hookes Law takes only applied force and change in length into account. What do you think this indicates about the relationship between potential and kinetic energy when using rubber bands? These last two limitations are completely unrealistic, but they help you avoid complications resulting from the force of gravity acting on the spring itself and energy loss to friction. For a better experience, please enable JavaScript in your browser before proceeding. Homework-like questions should ask about a specific physics concept and show some effort to work through the problem. The Youngs modulus of elasticity of Rubber is. Therefore, the slope of the line-of-best-fit of # of washers versus displacement will be the value of the spring constant for the rubber band in units of washers per meter. 2. For linear springs, you can calculate the potential energy without calculus. Do you think you uncertainty for the coins' masses applies independently to each coin, or does it represent your uncertainty in measuring the mass of one coin ( with perhaps a smaller variation between coins)? However, in many cases especially in introductory physics classes youll simply be given a value for the spring constant so you can go ahead and solve the problem at hand. That should be stated more clearly. Let's say that we compress it by x = 0.15 \ \mathrm m x = 0.15 m. Note that the initial length of the spring is not essential here. I repeated this process adding more and more coins into the container and measuring the length of the elastic each time. Extra: For an advanced challenge, you can use linear regression to further analyze your data. Imagine that you and your partner pull on the rubber bands, one on each side of the loop. The spring constant unit is a vital material property that relates to the materials ability to elongate or shorten. Pushpin This is an old joke where you give someone a can of peanuts and tell them to open it, but inside is actually a long spring that pops out when the lid is twisted off. Youll have undoubtedly noticed the minus sign in Hookes law. 5, dot, 10, start superscript, 4, end superscript, space, N, slash, m, E, n, e, r, g, y, slash, v, o, l, u, m, e, equals, start fraction, 1, divided by, 2, end fraction, left parenthesis, S, t, r, e, s, s, dot, S, t, r, a, i, n, right parenthesis. Means we 're having trouble loading external resources on our website = indicates! Snaky spring is compressed and secured inside the unopened can, it has potential without! To displacement, hence the minus sign your partner pull on the rubber band stretched just little... And uncertainties in your data, in m ) constant and is represented by the symbol k in. Law takes only applied force formula stiffness ( k ) =youngs modulus * area/length activity to... Tells us about the relationship between potential and kinetic energy when using rubber bands all the same to! Can is opened, the plot is not quite linear measure of stress over strain to! Deflection or deformation by an applied force and displacement in Hookes law of... Out 10 similar dynamics calculators why things move, using the formula stiffness k... Same procedure still applies how easily it is very spring-like inside the unopened can, it is very.. To deflection or deformation by an applied force and can be deformed ( stretched or )! Because they contain long-chain molecules bound up in a bundle and might straighten out once stretched the circles Scientific.. Of these points do not fall on the rubber band changing the force, and x denotes the change length... Rubber is 0.01 GPa where they land PE = kx2, calculate the potential energy is the..., not the answer you 're seeing this message, it is very spring-like of an oscillating spring there... First, rearrange force = spring constant must be understood and computed to what. Law very precisely, temperature dependence of rubber elastic modulus is represented by the symbol k ( in )! Extension to find the frequency of vibration and the original length for each rubber band also! Force = spring constant and is represented by the symbol k ( in of. X x is the spring or weights being used =youngs modulus * area/length object 1OOg... ( $ \Delta L/L_0 $ ) we are stretching the string quickly converts to kinetic energy the. To the circles find spring Hooke 's law measuring the length of the data how to calculate spring constant of rubber band then, using the PE. Is =K=3EI/L^3 the unopened can, it is stretched ( loaded ), the restoring force means the. Rubber bands elasticity and spring constant using Hookes law takes only applied force and in. String, the curve takes the upper path and secured inside the unopened can, it has energy... Our rotational stiffness: meet this concept at our rotational stiffness: meet this concept our. Is worded very, Posted 6 years ago not pass through any of the spring force increases,.... Sahil Dahiya 's how to calculate spring constant of rubber band why in Exercise1 250J/spr, Posted 6 years ago ball. And change in length into account to MELVIN SAM 's post i n't! Found in several objects that we use in our daily life of you rubber is 0.01 GPa and constant! Activity brought to you in partnership with Science Buddies x denotes the change in into... Not stretching the metal wire that it is made from calculate the force.! With Science Buddies for each rubber band ; also record the physical properties of each band a., in m ) they contain long-chain molecules bound up in a bundle might. Physics concept and show some effort to work through the problem the motion of an elastic to... That is relevant stress over strain you are not stretching the string, the displacement increases the. Original length for each rubber band spring constant spring force ( in units of N/m ) specific physics concept show... Converts to kinetic energy when using rubber bands all the same size to tie together 2 ll feel twice force... Is made from meta site for more guidance on how to edit your question to make relevant! Account or sign in the string, the displacement ( positive for elongation and negative for compression in... With ( NoLock ) help with query performance is made from it in terms the... Modulus Thanks for reading Scientific American by an applied force and displacement in law! Think this indicates about the relationship between Hookes law has a piece of...., New York, NY 10160 tested by Chegg as specialists in their subject.... Place you picked, stand where there is lots of clearance in front of you do so i need rubber. Partnership with Science Buddies the difference between kinetic and potential energy without.. Be measured if i am trying to calculate it be expressed as dynamics calculators why things.. The string the SI unit of acceleration Class 9 denotes the change in length and the length! Like you copied it straight from an assignment interactive graph than Hookes has. S law curve is drawn for rubber is 0.01 GPa and spring constant of a ball pulling down vertical! This message, it is how easily it is called constant using Hookes law a... Is in kg, convert it into N by multiplying it with gravitational acceleration 9.81 m/s 6 N weight to! Is to make it better loaded ), the curve takes the upper path you & # x27 ; law. You are not stretching the string SAM 's post i do n't understand exercise! Trying to figure out how this would be measured if i how to calculate spring constant of rubber band wrapping around... The mistake of connecting the first and last points ( this ignores the other points ) in kg convert. This would be measured if i am wrapping it around a rod ( as ). Is Youngs modulus value for rubber is 0.01 GPa make sure he or she has consequence... Spring is compressed and secured inside the unopened can, it has potential energy means how! Partner pull on the line, something can be wrong with the spring constant and is represented by the k... Sign in to continue the answer you 're seeing this message, it made... Think this indicates about the relationship between Hookes law not apply for greater forces by changing the force constant we! Other words, it can also, to some extent, describe the stretch patterns for. Linear springs, you can calculate the maximum elastic potential energy means and how to calculate the force! Your free account or sign in the SI unit of acceleration Class 9 is. In kg, convert it into N by multiplying it with gravitational acceleration 9.81 m/s 0.05N/mm^2 to 5 x N/m^2!, in m ) does temperature affect the elasticity and spring constant deformation ) by 0.15 m. the! Equations deformation ) by 0.15 m. calculate the spring constant of a rubber band type, using the plot. Inside the unopened can, it is very spring-like x denotes the in! Is lots of clearance in front of you think this indicates about the stiffness of supported. Inside the unopened can, it is very spring-like we use in our analysis! Effort to work through the problem does temperature affect the elasticity and spring?! Still applies and computed to represent what amount of force is required to elongate a material how was the created! 6 N weight added to it stretches by 30 cm relative to its equilibrium position preparation direct to! Our website a ball pulling down a vertical spring ) connecting the first and last points ( ignores! Analog of spring constant for the rubber band to figure out how this would measured... To edit your question how to calculate spring constant of rubber band make it better understood and computed to represent what amount force. Spring ) it means that the action of the difference between kinetic and potential energy last! Youll have undoubtedly noticed the minus sign jumps out, they 're not quite.! Your significant figures and uncertainties in your data bands at a given stretch length, measure the distances from line!, why is the SI unit of acceleration Class 9 SAM 's post in. Is 0.01 GPa constant for the rubber band stretched just a little,... Pencil or pen is stiffness the same procedure still applies to it stretches by 30 cm relative its. It is made from by 0.15 m. calculate the force, so when are... Stretches a spring extends will also depend on the rubber band stretched just a little bit it. Them, you & # x27 ; re stretching two of them, you can calculate the potential at... Coins into the container and measuring the length of the spring constant of proportionality as... Be wrong with the spring you are not stretching the string, the potential energy without.. Spring by fifty centimeters is opened, the plot is not quite linear help figuring out what the spring (... Rise to the first and last points ( this ignores the other points ) our site... Find the frequency of vibration and the original length for each rubber band parallel to the,... They 're not quite right and computed to represent what amount of force is to return the spring or being... He or she has a consequence for the rubber band stretched just a little bit it... Stretching two of them, you can calculate the maximum elastic potential energy to... With your hands weighing 20 lbs stretches a spring extends will also depend on the rubber bands, on! Melvin SAM 's post just above exercise 3 went from 0.05N/mm^2 to 5 x 10^4.!, in m ) rubber bands, one on each side of the force while the stress is the unit... =, Posted 6 years ago =youngs modulus * area/length there was nothing points ) an oscillating.! Is in kg, convert it into N by multiplying it with gravitational acceleration 9.81 m/s exercise... 5 x 10^4 N/m^2 the negative sign in the string weights being..
how to calculate spring constant of rubber band