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Chapter 4: Problem 75

Express each angular speed in radians per second. 6 revolutions per second

Short Answer

Expert verified
The angular speed is \(12\pi\) radians per second.

Step by step solution

01

Identify the conversion factor

One revolution is equal to \(2\pi\) radians. This is the conversion factor that will be used.
02

Set up the conversion

The given angular speed is 6 revolutions per second. Write this as \(6 \, \text{revolutions/second}\). To convert this to radians per second, multiply by the conversion factor:\(6 \, \text{revolutions/second} \times 2\pi \, \text{radians/revolution}\). We can cancel out the 'revolution' units, leaving us with radians/second.
03

Perform the multiplication

Perform the multiplication to get the final result. \(6 \times 2\pi = 12\pi\).

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