   Chapter 13, Problem 34P

Chapter
Section
Textbook Problem

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 15.5 s. (a) How tall is the tower? (b) If this pendulum is taken to the Moon, where the free-fall acceleration is 1.67 m/s2, what is the period there?

(a)

To determine

The height of the tower.

Explanation

Given info: The period of the oscillation of the pendulum is 15.5s.

The period of a pendulum is defined by,

T=2πLg

• T is the period
• L is the length of the string
• g is the free fall acceleration

Re-arrange above expression to find L.

L=gT24π2

Substituting T=15.5s and g=9

(b)

To determine

The period of oscillation of the pendulum on moon.

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