# 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 Â© 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 $T$ increases with increasing $\theta$. 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 $\theta$ of a pendulum does not affect its period for $\theta<<1$. 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.. 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