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Chapter 4: Problem 76

Express each angular speed in radians per second. 20 revolutions per second

Short Answer

Expert verified
The angular speed is \(40\pi\) radians per second.

Step by step solution

01

Understand the relation between revolution and radians

We first need to comprehend the fundamental relationship between revolution and radians. One complete revolution is equal to \(2\pi\) radians. This is primarily because the radius' circular motion completes a complete 2-dimensional plane, which has 360 degrees or \(2\pi\) radians.
02

Convert the given revolutions to radians

The problem provides an angular speed of 20 revolutions per second. To convert this to radians per second, we use the relation established in Step 1. Thus, for 20 revolutions per second we obtain \(20 * 2\pi\) radians per second.
03

Perform the calculation

Calculate the value of \(20 * 2\pi\).

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