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Chapter 13: Problem 32

A wheel rotates at 600 rpm. Viewed from the edge, a point on the wheel appears to undergo simple harmonic motion. What are (a) the frequency in \(\mathrm{Hz}\) and (b) the angular frequency for this SHM?

Short Answer

Expert verified
The frequency \(f\) in Hz for this SHM is 10 Hz and the angular frequency \(w\) is \(20\pi rad/s\).

Step by step solution

01

Calculate the Frequency

Firstly, the rpm should be converted to Hz to get the frequency since 600 rpm is the same as \(\frac{600}{60}\) = 10 Hz. Hence the frequency \(f\) is 10 Hz.
02

Calculate the Angular Frequency

The angular frequency is found by using the formula \(w = 2\pi f\). Substituting the computed value of f from step 1 into the formula gives \(w = 2\pi * 10 = 20\pi rad/s\). Hence the angular frequency \(w\) is \(20\pi rad/s\).

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Most popular questions from this chapter

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