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 … The starting angle [math]\theta[/math] of a pendulum does not affect its period for [math]\theta<<1[/math]. The mass of a pendulum’s bob does not affect the period. around the world. When you write in your comment about "mass is removed", are you referring to removing the bob entirely? 56014 views Course Hero is not sponsored or endorsed by any college or university. Because acceleration remains the same, so does the time over which the acceleration occurs. 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. Why does a shorter pendulum have a smaller period than a longer pendulum? Remember the period of a pendulum is the time it takes, the pendulum to make one full back-and-forth swing. The mass that is hanged from the pendulum is constant and 250g for each trial. At higher angles however, the period [math]T[/math] increases with increasing [math]\theta[/math]. 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. $\begingroup$ @NoamChai: It becomes more clear if we add a single word to the final sentence. 3. … As mass increases, so does the force on the pendulum, but acceleration remains the same. 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 only things that affect the period of a simple pendulum are its length and the acceleration due to gravity. As the amount of energy is constant in the system the potential energy would equal kinetic energy (mh=.5mv^2). Therefore, the mass does not affect the period of the pendulum. Why does the angle you release the pendulum, not affect the period of the pendulum? The really interesting physics behind this formula for the period of a pendulum is that the mass doesn't matter! 1. Increase the weight on the pendulum and gravity just pulls harder, evening out the extra weight. This preview shows page 3 - 5 out of 5 pages. 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. Click and conduct the following investigation. 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. 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. Therefore, the mass does not affect the period of the pendulum. As the force increases so does the acceleration and along with gravity are the factors that affect the pendulum swing. This is the approximation I indicated in the "Answer" above. Help is much appreciated. assumes that all the mass is concentrated a distance #l# from the pivot. A change of mass would not effect a pendulum. 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. As mass increases, so does the force on the pendulum, but acceleration remains the same. 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. The answer is “NO”. Whatever be the mass of bob, it is pulled down with the same acceleration due to gravity. (s) affect the period, you are also going to determine how they affect the period. ...” in Physics if there is no answer or all answers are wrong, use a search bar and try … The easiest way to explain is by the kinetic and potential energy. What is the period of the Great Clock's, Big Ben, pendulum? Answer Save. One factor that does not affect swing rate is the weight of the bob. 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. However, in theory it does not. Why is pendulum period independent of mass? In F = m a, force is directly proportional to mass. So the period would be much shorter. 1 1 Phat Tran This is because of the conservation of energy. The formula More From Reference. 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. In practice it does due to air resistance. Use the photogate timer and record the period it takes for each length. If you do that (or substitute a much lighter bob), you would have to consider that #l# has decreased significantly. When the weight or bob is moved and let go, the pendulum will swing back and forth in a regular periodic motion.. Potential energy is mass * height and kinetic energy is 1/2*mass*velocity squared. Will it make the clock's time fast or slow? The solution may be closer than you know. When this period formula is derived from the pendulum equation of motion, the dependence of the mass of the bob cancels out. A simple pendulum is modeled by physicists as a point mass suspended from a rod or string, which has negligible mass. (It is due to the effect of gravity.) Because acceleration remains the same, so does the time over which the acceleration occurs. That assumption needs to be valid in the construction of the pendulum. In a clock's pendulum the bob is often a hanging chunk of lead. If the amplitude is limited to small swings, the period T of a simple pendulum, the time taken for a complete cycle, is: As the force increases so does the acceleration and along with gravity are the factors that affect the pendulum swing. See all questions in Simple Harmonic Motion - Pendulums. A pendulum is 90 cm long. Get an answer to your question “Why does mass not affect the period of a pendulum? Mass. The mass of a pendulum's bob does not affect the period. The speed of the bob is 150 cm/s as it passes through its lowest... What are the equations for frequency and period? 1. Within certain limits, mass does not affect a pendulum's period. Copyright Â© 2021. There are some other factors that affect the period of simple pendulum. Privacy 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, ________________________________________________________________________. It is independent of the mass of the bob. What this does is What is the physics behind mass not affecting the period? by Ron Kurtus (revised 18 December 2016) A pendulum consists of a weight suspended on a rod, string or wire. As mass increases, so does the force on the pendulum, but acceleration remains the same. 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. The starting angle does not affect the period of a pendulum. Because acceleration remains the same, so does the time over which the acceleration occurs. 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. The mass of a pendulum doesn't affect the period because the force that acts on the pendulum is gravity. (It is due to the effect of gravity.) The effect of gravity on the bob results in the periodic motion, and the length of the wire determines the frequency of its swing. Instead, the period is directly affected by the length of the string from which the mass... See full answer below. Simple pendulum review Overview of key terms, equations, and skills for simple pendulums, including how to analyze the forces on the mass. For example, starting the bob higher only changes the frequency a little bit. 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). Why does mass not affect the period of a pendulum? Course Hero, Inc. Favourite answer. 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. Thank you. 1 Answer. Why does mass of the bob not affect the period of the pendulum? Google Classroom Facebook Twitter 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. 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