Chapter 10.9, Problem 15PSB

To determine

To find : The distance travelled in one back and forth by the pendulam

Answer to Problem 15PSB

  $31.40$ inch

Explanation of Solution

Given information :

We know that ,radius made in the motion ( $r$ ) = $12$ inch, $\theta =75°$

  

Formula Used:

Length of arc $=\frac{\theta }{360°}\times 2\pi r$

Calculation :

The distance cover by pendulum swings one back and forth

  $\begin{array}{l}=2\times \frac{\theta }{360°}\times 2\pi r\\ =2\times \frac{75°}{360°}\times 2\times 3.14\times 12\\ =0.208\times 4\times 3.14\times 12\\ =31.399\\ =31.40\text{ inch}\text{.}\end{array}$