Pendulum problem

Question

The length of a simple pendulum varies directly with the square of its period. If a pendulum length of 2.25 meters has a period of 3 seconds, how long is a pendulum with a period of 6 seconds?

Answer 1

To put these words into an equation, we get

 

L = k T^2

 

where L is the length and T is the period. Use the first sentence to solve for k.

 

k = L / T^2

 

Use this k to find the length of a new pendulum with a different period.

 

Good luck!