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Chapter 6: Q. 92 (page 366)

A pendulum swings through an angle of 20鈭� each second. If the pendulum is 40 inches long, how far does its tip move each second? Round answers to two decimal places.

Short Answer

Expert verified

The tip of the pendulum moves13.96inches each second.

Step by step solution

01

Step 1. Given information

Given, a 40inches long pendulum swings 20鈭�in each second.

We consider the movement of a pendulum as a circular motion object.

02

Step 2. Used formulae

We use the formula S=r胃to obtain the arc length of a circle, where ris the radius and 胃is the angle made by the arc.

03

Step 3. Conversion of Angles

Given angle20鈭�, when converted to radians, it becomes,胃=20路蟺180=蟺9

04

Step 4. Calculation

Substituting the values and using the formulae,

s=40路蟺9鈮�13.96inches.

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