why does mass not affect the period of a pendulum

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