Understanding Pendulum Frequency & Period Changes

[kevinnn]

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.

 

[BruceW]

yep. Sounds good. (you can be more specific if you write down the mathematical relationship)