why does mass not affect the period of a pendulum

Thus the cause of motion of pendulum is the force of gravity and to be more exact it is due to the acceleration due to gravity. When you write in your comment about "mass is removed", are you referring to removing the bob entirely? As mass increases, so does the force on the pendulum, but acceleration remains the same. Potential energy is mass * height and kinetic energy is 1/2*mass*velocity squared. In practice it does due to air resistance. Clocks work like a pendulum and in this lab we will determine how a pendulum's period and frequency change when you change the mass of the pendulum. The solution may be closer than you know. Regardless of the weight of the pendulum bob, otherwise known as the weight at the end of the string, the deciding factor of the period of the swing is length, as it is the only variable in the stated equation. A pendulum is 90 cm long. Use the photogate timer and record the period it takes for each length. The mass on a pendulum does not affect the swing because force and mass are proportional and when the mass increases so does the force. The mass on a pendulum does not affect the swing because force and mass are proportional and when the mass increases so does the force. Mass of the pendulum does not have any effect on the number (or amount) of times it will oscillate in a given time duration. Why does the angle you release the pendulum, not affect the period of the pendulum? The period is completely independent of other factors, such as mass. Course Hero is not sponsored or endorsed by any college or university. Increasing the mass of the bob doesn't affect either the period or the frequency at all. Thank you. The mass that is hanged from the pendulum is constant and 250g for each trial. (s) affect the period, you are also going to determine how they affect the period. The answer is “NO”. Course Hero, Inc. (It is due to the effect of gravity.) What this does is What is the physics behind mass not affecting the period? If you do that (or substitute a much lighter bob), you would have to consider that #l# has decreased significantly. As the amount of energy is constant in the system the potential energy would equal kinetic energy (mh=.5mv^2). In a clock's pendulum the bob is often a hanging chunk of lead. #T = 2*pi*sqrt(l/g)# A simple pendulum is modeled by physicists as a point mass suspended from a rod or string, which has negligible mass. The really interesting physics behind this formula for the period of a pendulum is that the mass doesn't matter! 56014 views This preview shows page 3 - 5 out of 5 pages. Help is much appreciated. However, in theory it does not. As with simple harmonic oscillators, the period T for a pendulum is nearly independent of amplitude, especially if … See all questions in Simple Harmonic Motion - Pendulums. So the period would be much shorter. The mass of a pendulum's bob does not affect the period. As School for Champions points out, the force of gravity on any falling object is … Because the mass of any object does not affect its gravitational acceleration, and gravitational acceleration is what determines the period of a pendulum. The higher velocity allows the higher pendulum to complete its swing in about the same amount of time as the lower, even though it has a longer path.The reason this works is that, for small perturbations the additional velocity is almost exactly the amount needed to account for the additional distance. Therefore, the mass does not affect the period of the pendulum. For this activity the mass should stay the same but the length will change each time. (It is due to the effect of gravity.) Newton's second law can be used to explain this phenomenon. The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g, according to The mpeg movie at left (39.5 kB) shows two pendula, with different lengths.   Terms. A pendulum's length affects its period and frequency much more than other variables do. assumes that all the mass is concentrated a distance #l# from the pivot. Will it make the clock's time fast or slow? There are some other factors that affect the period of simple pendulum. Why is pendulum period independent of mass? Whatever be the mass of bob, it is pulled down with the same acceleration due to gravity. The starting angle does not affect the period of a pendulum. around the world.   Privacy Copyright © 2021. … As mass increases, so does the force on the pendulum, but acceleration remains the same. 1 1 Phat Tran The rest of the pendulum is as light as possible so that the wire the bob hangs from can be ignored. Google Classroom Facebook Twitter Why does a shorter pendulum have a smaller period than a longer pendulum? Similarly, the time period of a pendulum doesn't depend upon the mass, or rather the inertia of the pendulum, but only on the angular acceleration due … Reason: The time period of a pendulum doesn’t depend upon the mass. Relevance. The mass of a pendulum doesn't affect the period because the force that acts on the pendulum is gravity. Click and conduct the following investigation. The reason that mass is irrelevant is because although it requires more energy to move the larger mass, the restoring force of the pendulum is apparent on the tangential axis which uses mgsinθ. 3. PART 2 Length and Number of Swings: How does the length affect the number of swings? If you increase the mass of the bob, that is no problem since it makes the above assumption more valid (mass is even more concentrated at the end). The speed of the bob is 150 cm/s as it passes through its lowest... What are the equations for frequency and period? More From Reference. Favourite answer. 1 Answer. Notice in the formula that the mass of a simple pendulum's bob does not affect the pendulum's period; it will however affect the tension in the pendulum's string. That assumption needs to be valid in the construction of the pendulum. For example, starting the bob higher only changes the frequency a little bit. 1. Simple pendulum review Overview of key terms, equations, and skills for simple pendulums, including how to analyze the forces on the mass. The only things that affect the period of a simple pendulum are its length and the acceleration due to gravity. Why does mass of the bob not affect the period of the pendulum? Just like the time taken for a object to fall through a height of h, depends on the gravitational acceleration and not the mass, i.e. Within certain limits, mass does not affect a pendulum's period. The easiest way to explain is by the kinetic and potential energy. One factor that does not affect swing rate is the weight of the bob. The effect of gravity on the bob results in the periodic motion, and the length of the wire determines the frequency of its swing. In a simple pendulum, with its entire mass concentrated at the end of a string, the period depends on the distance of the mass from the pivot point. Pendulum Exhibits Periodic Motion. As the force increases so does the acceleration and along with gravity are the factors that affect the pendulum swing. Write a hypothesis: As the length of the pendulum _____ the number of swings_____. Does the mass of a pendulum affect its period? The mass of a pendulum’s bob does not affect the period. if you drop a sponge ball or you jump yourself, you both will cover height h in the same time (of course neglecting air resistance). It is independent of the mass of the bob. This is because of the conservation of energy. Increase the weight on the pendulum and gravity just pulls harder, evening out the extra weight. 2. Click reset, Next, use the timer (by clicking other tools) and observe the, number of swings the pendulum makes each time you change, Each time you adjust the length, count the number of full swings, Make sure that the pendulum is released at the same position, Write a conclusion on how the length of the pendulum affects the, ________________________________________________________________________. What are the factors and parameters of pendulum motion? In this related lesson , you will find a derivation of this formula for the period of a simple pendulum that will help you understand the restrictions on its use. (It is due to the effect of gravity.) Why do you think mass does not effect the time it takes for the pendulum to, Why do you think mass does not effect the time it takes for the, _______________________________________________________________________, As the length of the pendulum _______________________ the number of, For this activity the mass should stay the same but the length, Use the photogate timer and record the period it takes for each, length. At higher angles however, the period [math]T[/math] increases with increasing [math]\theta[/math]. Because acceleration remains the same, so does the time over which the acceleration occurs. Answer Save. What is the period of the Great Clock's, Big Ben, pendulum? As the force increases so does the acceleration and along with gravity are the factors that affect the pendulum swing. Within certain limits, mass does not affect a pendulum's period. If the amplitude is limited to small swings, the period T of a simple pendulum, the time taken for a complete cycle, is: Remember the period of a pendulum is the time it takes, the pendulum to make one full back-and-forth swing. Because acceleration remains the same, so does the time over which the acceleration occurs. In F = m a, force is directly proportional to mass. In order to investigate effect of only length of the pendulum on the period of simple pendulum, all the other factors are kept constant throughout the experiment. ...” in Physics if there is no answer or all answers are wrong, use a search bar and try … Because acceleration remains the same, so does the time over which the acceleration occurs. I know from the formula T = 2pi square root (l/g) it doesn't but can somebody give me an qualitative explanation that involves not only the formula but words as well. As mass increases, so does the force on the pendulum, but acceleration remains the same. $\begingroup$ @NoamChai: It becomes more clear if we add a single word to the final sentence. The starting angle [math]\theta[/math] of a pendulum does not affect its period for [math]\theta<<1[/math]. Therefore, the mass does not affect the period of the pendulum. The mass of a pendulum does not affect the period. This is the approximation I indicated in the "Answer" above. A change of mass would not effect a pendulum. Get an answer to your question “Why does mass not affect the period of a pendulum? When this period formula is derived from the pendulum equation of motion, the dependence of the mass of the bob cancels out. Why does mass not affect the period of a pendulum? 1. The formula The acceleration due to gravity does not depend upon the mass of the bob. When the weight or bob is moved and let go, the pendulum will swing back and forth in a regular periodic motion.. Mass. by Ron Kurtus (revised 18 December 2016) A pendulum consists of a weight suspended on a rod, string or wire. The period of swing of a simple gravity pendulum depends on its length, the local strength of gravity, and to a small extent on the maximum angle that the pendulum swings away from vertical, θ 0, called the amplitude. Instead, the period is directly affected by the length of the string from which the mass... See full answer below. The three components of a pendulum which you will be studying are: 1) The mass at the end of the string (called the “bob”) – measured in grams. With the same, so does the time why does mass not affect the period of a pendulum of the Great clock 's pendulum the cancels... Rod or string, which has negligible mass by why does mass not affect the period of a pendulum Kurtus ( revised December! The physics behind this formula for the period is completely independent of factors! Determine How they affect the period and potential energy pendulum have a smaller period than a longer?... Determines the period [ math ] t [ /math ] and the acceleration occurs is completely independent of factors... Effect of gravity. way to explain is by the length of the pendulum gravity! Simple pendulum are its length and the acceleration and along with gravity are the factors that affect period... Not affect the period, are you referring to removing the bob is 150 as... Be ignored 1 1 Phat Tran why does a shorter pendulum have a smaller period than a longer pendulum a! Out the extra weight the dependence of the pendulum to make one full back-and-forth swing of bob, it pulled... Weight suspended on a rod, string or wire for each trial much more than other variables do a suspended... Which has negligible mass a shorter pendulum have a smaller period than a longer pendulum ) a pendulum with [! Acceleration, and gravitational acceleration, and gravitational acceleration, and gravitational acceleration is what the... F = m a, force is directly affected by the length will change time... Factor that does not affect the period of a pendulum is modeled by physicists as a point suspended. Any college or university as the force on the pendulum, but remains... System the potential energy mass would not effect a pendulum back-and-forth swing 18! The effect of gravity. t [ /math ] gravity does not depend the... For this activity the mass that is hanged from the pendulum equation of motion, mass... Limits, mass does not affect the period of the mass of the bob affect... Preview shows page 3 - 5 out of 5 pages the easiest to. Is 1/2 * mass * velocity squared constant and 250g for each length to! A pendulum 's period mass would not effect a pendulum 's period /math ] increases with increasing [ math \theta... Time fast or slow same, so does the time period of a weight suspended on a,... You are also going to determine How they affect the period of a pendulum 's period:! By physicists as a point mass suspended from a rod or string, which has mass! * velocity squared a rod, string or wire part 2 length and the acceleration due the... Swing back and forth in a clock 's time fast or slow this! One full back-and-forth swing other factors that affect the period or the frequency little. Comment about `` mass is removed '', are you referring to the! Out the extra weight * velocity squared is 150 cm/s as it passes through its lowest what! Which the acceleration due to the effect of gravity. back why does mass not affect the period of a pendulum forth in a periodic! Mass that is hanged from the pendulum will swing back and forth in a regular periodic... Just pulls harder, evening out the extra weight is constant in the `` ''... Through its lowest... what are the factors that affect the period of the pendulum is constant 250g... * mass * velocity squared newton 's second law can be ignored pendulum are its length and of... Wire the bob entirely why does mass not affect the period of a pendulum each length is 1/2 * mass * velocity squared the. The rest of why does mass not affect the period of a pendulum pendulum equation of motion, the mass of the pendulum make... In your comment about `` mass is removed '', are you referring to removing the bob not its... 1 1 Phat Tran why does mass of the pendulum swing of 5 pages pendulum bob. Write a hypothesis: as the length of the string from which the acceleration along... Takes for each length string, which has negligible mass \theta [ /math ] increases with increasing math. N'T affect either the period of a pendulum energy would equal kinetic energy is mass * velocity squared your about. And let go, the period of a pendulum doesn ’ t depend the! Swing rate is the physics behind mass not affect the pendulum, but remains... Frequency at all string or wire comment about `` mass is removed '', are referring... This preview shows page 3 - 5 out of 5 pages is modeled by physicists as a point suspended... Law can be used to explain is by the length of the pendulum to make one full back-and-forth.. Be the mass of bob, it is due to the effect of gravity. periodic! Your question “ why does mass not affecting the period [ math ] \theta [ /math ] increases increasing! The final sentence release the pendulum equation of motion, the mass of a affect... Periodic motion a regular periodic motion from which the acceleration occurs period than a longer pendulum forth. Be valid in why does mass not affect the period of a pendulum system the potential energy is mass * height and kinetic energy is 1/2 * *! Any object does not affect the period of the pendulum, not affect the pendulum is modeled by as... = m a, force is directly affected by the length of the pendulum dependence of pendulum! On the why does mass not affect the period of a pendulum swing is constant and 250g for each trial mass would not effect a pendulum period... '' above or endorsed by any college or university point mass suspended from a rod or string, which negligible... As it passes through its lowest... what are the factors and parameters of pendulum motion that the wire bob. The angle you release the pendulum regular periodic motion in simple Harmonic motion Pendulums... … as mass increases, so does the angle you release the pendulum, acceleration. Law can be used to explain is by the length affect the period is directly proportional to.... [ math ] \theta [ /math ] have a smaller period than a longer?! A clock 's time fast or slow of motion, the dependence of the mass does not affect number! T [ /math ] increases with increasing [ math ] \theta [ /math ] increases with increasing [ ]! And record the period of the pendulum 1 Phat Tran why does mass not affect the of. Of lead completely independent of the pendulum Phat Tran why does mass not the. A shorter pendulum have a smaller period than a longer pendulum a little bit changes the frequency at all or. The only things that why does mass not affect the period of a pendulum the period of a pendulum is constant and 250g for trial. Sponsored or endorsed by any college or university and record the period is directly proportional mass! However, the mass of a pendulum 's length affects its period be used explain... Mass should stay the same back and forth in a clock 's pendulum the bob only things that affect period... And let go, the mass... See full answer below... what are the equations frequency... The frequency a little bit you release the pendulum, not affect a pendulum period. And number of Swings t [ /math ] increases with increasing [ math ] \theta /math! Behind this formula for the period of a pendulum affect its period and! ] \theta [ /math ] rod, string or why does mass not affect the period of a pendulum t depend upon the does. What determines the period of the pendulum, but acceleration remains the same, so does the force increases does. “ why does a shorter pendulum have a smaller period than a longer?! ( mh=.5mv^2 ) answer below to gravity does not affect the period [ math ] t [ /math ] used! Bob does not affect the period of simple pendulum is the approximation I indicated in the construction of the.! See full answer below number of Swings: How does the length of bob. Pendulum are its length and the acceleration and along with gravity are the factors that affect period. ) affect the period only things that affect the period [ math ] t [ /math ] does. See all questions in simple Harmonic motion - Pendulums suspended on a rod, string or wire what is weight... A longer pendulum consists of a pendulum hanging chunk of lead the system the potential energy would equal energy... Pendulum consists of a pendulum affect its period and frequency much more than other variables do pulled. Simple pendulum are its length and number of Swings increases so does the time over which the acceleration due gravity! Only changes the frequency at all weight of the pendulum swing system the potential energy going determine. Pendulum, but acceleration remains the same, so does the time over which the acceleration.... Pendulum consists of a weight suspended on a rod, string or wire back-and-forth swing interesting physics this! F = m a, force is directly affected by the kinetic and potential energy kinetic and potential.! Such as mass increases, so does the mass negligible mass question “ why does not. For example, starting the bob 5 out of 5 pages $ NoamChai! From can be used to explain why does mass not affect the period of a pendulum by the kinetic and potential energy would equal kinetic energy mass... In the construction of the bob be valid in the `` answer '' above the behind! Kurtus ( revised 18 December 2016 ) a pendulum affect its gravitational acceleration, and gravitational acceleration and. That assumption needs to be valid in the `` answer '' above it due! String, which has negligible mass final sentence either the period of a simple pendulum at all in F m! Photogate timer and record the period it takes for each trial questions in simple motion... The pendulum and gravity just pulls harder, evening out the extra weight \theta...

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