How many revolutions does a wheel with angular speed \(88 \mathrm{rad} \mathrm{s}^{-1}\) make in one second?
How many revolutions does a wheel with angular speed \(88 \mathrm{rad} \mathrm{s}^{-1}\) make in one second?
7
14
28
44
Solution
Angular speed of wheel, \(\omega=88 \mathrm{rad} \mathrm{s}^{-1}\)
\(\therefore\) Number of revolution per second is equal to its frequency \(f\).
i.e. \(\omega=2 \pi f\)
\(\Rightarrow \quad f=\frac{\omega}{2 \pi}=\frac{88}{2 \times \frac{22}{7}}=\frac{88 \times 7}{2 \times 22}=14 \mathrm{rev} / \mathrm{s}\)