Question

A man enters a tall tower, needing to know its height. He notes that a long pendulum extends from the ceiling almost to the floor and that its period is 22.5s

(a) How tall is the tower?

Answer 1

To find the height of the tower, use the formula for the period of a pendulum.

Step-by-step explanation:

To find the height of the tower, we can use the formula for the period of a pendulum:

T = 2π*sqrt(L/g)

Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. We are given that the period is 22.5 seconds. Rearranging the formula, we can solve for L:

L = (T/2π)^2 * g

Substituting the values, we get:

L = (22.5/2π)^2 * 9.8 m/s^2

L = 2.54 meters

Therefore, the height of the tower is approximately 2.54 meters.