Understanding Pendulum Frequency & Period Changes

In summary, the frequency and period of a pendulum are influenced by its length, gravitational acceleration, and angle of release. Changing the length affects the frequency and period, with an inverse relationship between length and frequency. The mass of the pendulum bob does not affect its frequency or period. The angle at which the pendulum is released does not affect its frequency or period either, as the pendulum will always swing back and forth at the same rate. There is no limit to the theoretical frequency and period of a pendulum, but eventually friction and air resistance will cause it to stop oscillating.
  • #1
kevinnn
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Homework Statement



If a pendulum is shortened, does its frequency increase or decrease? What about its period?

Homework Equations





The Attempt at a Solution


I think that the frequency will increase because the length of the string will now be shorter. As far as the period I think it will decrease because the pendulum should swing faster so the time for one cycle to be completed should be decreased. Is this correct or on the right track? Thanks.
 
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  • #2
yep. Sounds good. (you can be more specific if you write down the mathematical relationship)
 

FAQ: Understanding Pendulum Frequency & Period Changes

1. What factors affect the frequency and period of a pendulum?

The frequency and period of a pendulum are affected by the length of the pendulum, the gravitational acceleration, and the angle at which the pendulum is released.

2. How does changing the length of a pendulum affect its frequency and period?

The frequency of a pendulum is directly proportional to its length, meaning that increasing the length will increase the frequency and decrease the period. This relationship is described by the equation f = 1/T, where f is frequency and T is period.

3. Can the frequency and period of a pendulum be affected by the mass of the pendulum bob?

No, the mass of the pendulum bob does not affect its frequency or period. This is because the mass does not play a role in the forces acting on the pendulum, which are only determined by the length, angle, and gravitational acceleration.

4. How does changing the angle at which a pendulum is released affect its frequency and period?

Changing the angle at which a pendulum is released does not affect its frequency or period. This is because the pendulum will always swing back and forth at the same rate, regardless of the angle at which it is released.

5. Is there a limit to the frequency and period of a pendulum?

There is no theoretical limit to the frequency and period of a pendulum, as they can continue to oscillate forever as long as there is no external force acting on it. However, friction and air resistance will eventually cause the pendulum to slow down and come to a stop.

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