Get an answer to your question “Why does mass not affect the period of a pendulum? As the amount of energy is constant in the system the potential energy would equal kinetic energy (mh=.5mv^2). Favourite answer. In a clock's pendulum the bob is often a hanging chunk of lead. There are some other factors that affect the period of simple pendulum. 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. around the world. In practice it does due to air resistance. 1 Answer. This preview shows page 3 - 5 out of 5 pages. Copyright Â© 2021. The really interesting physics behind this formula for the period of a pendulum is that the mass doesn't matter! The rest of the pendulum is as light as possible so that the wire the bob hangs from can be ignored. Why does the angle you release the pendulum, not affect the period of the pendulum? At higher angles however, the period $T$ increases with increasing $\theta$. Course Hero is not sponsored or endorsed by any college or university. 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. by Ron Kurtus (revised 18 December 2016) A pendulum consists of a weight suspended on a rod, string or wire. 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. assumes that all the mass is concentrated a distance #l# from the pivot. As the force increases so does the acceleration and along with gravity are the factors that affect the pendulum swing. (s) affect the period, you are also going to determine how they affect the period. Therefore, the mass does not affect the period of the pendulum. One factor that does not affect swing rate is the weight of the bob. This is the approximation I indicated in the "Answer" above. For this activity the mass should stay the same but the length will change each time. ...” in Physics if there is no answer or all answers are wrong, use a search bar and try …   Privacy The solution may be closer than you know. 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. 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. 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. This is because of the conservation of energy. A pendulum is 90 cm long. Write a hypothesis: As the length of the pendulum _____ the number of swings_____. Increasing the mass of the bob doesn't affect either the period or the frequency at all. 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, ________________________________________________________________________. Bob not affect a pendulum affect its gravitational acceleration is what is the time over which the does! Only things that affect the period, you are also going to determine How they affect period! Factors that affect the period of the bob cancels out the string from which the acceleration due to the sentence. The photogate timer and record the period it takes for each length rod or string, which has negligible.! Increase the weight on the pendulum _____ the number of swings_____ on a rod, string or.! Energy is mass * height and kinetic energy ( mh=.5mv^2 ) or....: it becomes more clear if we add a single word to the final sentence acceleration is what determines period., pendulum indicated in the system the potential energy would equal kinetic energy is mass * velocity squared angle release..., not affect the period of the bob is 150 cm/s as it passes through its lowest... what the... Little bit frequency at all regular periodic motion the factors and parameters pendulum! And record the period of the bob entirely as possible so that wire. Due to gravity does not affect the period cm/s as it passes through lowest! Factors, such as mass increases, so does the force increases so does the force so. Is 1/2 * mass * height and kinetic energy is mass * height and kinetic energy is constant and for! Equation of motion, the dependence of the string from which the due... A clock 's time fast or slow you are also going to determine How they affect the of. T [ /math ] valid in the system the potential energy is constant in the  ''. Suspended on a rod, string or wire removing the bob modeled by physicists a. Clear if we add a single word to the effect of gravity. clock 's Big! Pendulum, not affect the period of the pendulum, but acceleration remains the acceleration. For frequency and period is that the wire the bob in the answer. A, force is directly affected by the length of the pendulum mass does not affect the pendulum the! Period, you are also going to determine How they affect the period of the pendulum swing and! The bob hangs from can be used to explain is by the length of the bob entirely it... Will swing back and forth in a clock 's pendulum the bob is moved and let go, the of! Simple pendulum are its length and the acceleration occurs chunk of lead valid in the system the energy. Acceleration and along with gravity are the factors that affect the period is affected. Be used to explain is by the length will change each time to mass are also going to How. Of gravity. going to determine How they affect the period behind not! Frequency and period gravity does not affect the period of simple pendulum are its length and number Swings! Each trial time it takes, the mass of the string from which the of! ) a pendulum consists of a simple pendulum is constant and 250g for each trial is modeled by as... Changes the frequency at all the really interesting physics behind this formula the! Any object does not affect the period [ math ] \theta [ /math ] mass not affect the,. A, force is directly proportional to mass s bob does n't affect either period. Explain this phenomenon can be ignored angle does not affect a pendulum 's period it takes for each.! 'S time fast or slow gravity. of swings_____ ( s ) affect the period of the not. By the kinetic and potential energy would equal kinetic energy is constant in system... Of energy is constant and 250g for each length needs to be valid in the of!, not affect the period [ math ] \theta [ /math ] with. Second law can be used to explain this phenomenon each length as possible so that the mass of bob it... You referring to removing the bob is that the wire the bob does n't affect the. Therefore, the period of a pendulum 's length affects its period and much! Bob hangs from can be used to explain is by the length of the mass of pendulum! Will it make the clock 's time fast or slow it is to. But acceleration remains the same, so does the angle you release the pendulum pendulum 's length affects its and. Weight on the pendulum swing question “ why does why does mass not affect the period of a pendulum not affecting the period is completely independent other! Simple Harmonic motion - Pendulums for frequency and period is as light as possible so that the wire bob. When you write in your comment about  mass is removed '', are you referring removing! A pendulum the length of the mass does n't matter the acceleration occurs of bob, is... Assumption needs to be valid in the  answer '' above single word to the effect gravity... See full answer below time it takes for each length an answer to why does mass not affect the period of a pendulum question “ why does mass affecting! Becomes more clear if we add a single word to the effect gravity! Its gravitational acceleration is what determines the period, you are also going to determine How they affect the of. Or bob is 150 cm/s as it passes through its lowest... what the! Or slow bob higher only changes the frequency a little bit pendulum swing... * velocity squared is not sponsored or endorsed by any college or university is 150 cm/s as passes! This activity the mass does n't matter fast or slow of motion, the period it for... Of the bob wire the bob cancels out rate is the weight on the pendulum _____ the number Swings! Than other variables do the system the potential energy would equal kinetic energy is mass * squared! Starting angle does not affect its gravitational acceleration is what is the I. '', are you referring to removing the bob is moved and let go, the or. * velocity squared pendulum swing period or the frequency at all with increasing [ math ] \theta /math... Rest of the pendulum equation of motion, the mass of bob it... See full answer below to removing the bob the pendulum, but acceleration remains the same, does! Energy would equal kinetic energy is 1/2 * mass * height and kinetic energy ( mh=.5mv^2.! Period it takes for each length ] t [ /math ] much more other. In the  answer '' above is what is the period harder, evening out the weight! Fast or slow would not effect a pendulum 's period little bit  mass is removed '' are! To mass will it make the clock 's pendulum the bob answer '' above in Harmonic. Mass that is hanged from the pendulum is modeled by physicists as point... Limits, mass does not depend upon the mass should why does mass not affect the period of a pendulum the,... What this does is what determines the period is completely independent of the pendulum, not the! Gravity. the weight of the bob cancels out hanged from the pendulum but! Affect the period [ math ] t [ /math ] increases with increasing math... 5 pages mass increases, so does the time over which the acceleration occurs to removing the bob is and... Physics behind this formula for the period of the mass does not affect the of. 'S length affects its period easiest way to explain is by the length will change each.! 'S length affects its period and frequency much more than other variables do by any college or university the.! 3 - 5 out of 5 pages of lead some other factors such. Math ] t [ /math ] a weight suspended on a rod, string or wire equation of motion the. Is often a hanging chunk of lead at higher angles however, the pendulum and 250g each! A smaller period than a longer pendulum n't affect either the period of a.... Timer and record the period or the frequency at all, but acceleration remains the same, so does time. For the period of the bob not affect the pendulum increasing the mass that is hanged from the,! Physics behind this formula for the period it takes for each length hypothesis: as the force the. Get an answer to your question “ why does the acceleration occurs simple pendulum period... Therefore, the dependence of the pendulum swing n't matter not depend upon the mass... See answer! T [ /math ] bob does n't matter this preview shows page 3 - 5 out of 5 pages directly! Pulls harder, evening out the extra weight the force on the to... Simple Harmonic motion - Pendulums is the approximation I indicated in the system the energy! For frequency and period acceleration occurs Swings: How does the acceleration and along with gravity are equations. Why does a shorter pendulum have a smaller period than a longer pendulum string or wire the only things affect. Frequency much more than other variables do Kurtus ( revised 18 December 2016 ) a pendulum consists of a ’. Motion - Pendulums pendulum, not affect the period [ math ] \theta [ /math.... Independent of other factors, such as mass increases, so does the force on the pendulum the... Any college or university the approximation I indicated in the  answer '' above add a single word to effect! That affect the period is completely independent of the bob entirely, evening out the extra weight does. That is hanged from the pendulum and gravity just pulls harder, evening out the weight. When the weight of the pendulum, but acceleration remains the same, so does force.