Problem 76
Question
Express each angular speed in radians per second. 20 revolutions per second
Step-by-Step Solution
Verified Answer
The angular speed is \(40\pi\) radians per second.
1Step 1: 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.
2Step 2: 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.
3Step 3: Perform the calculation
Calculate the value of \(20 * 2\pi\).
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