How many revolutions does a wheel with angular speed 88 rad s^-1 make in one second?

Correct answer: (B) 14. Angular speed of wheel, ω=88 rad s^-1 ∴ Number of revolution per second is equal to its frequency f . i.e. ω=2 π f ⇒ f=(ω)/(2 π)=88/(2 × 22/7)=(88 × 7)/(2 × 22)=14 rev / s

Q140 / 160 · AP EAMCET 2020 (21 Sep Shift 2) · Physics

How many revolutions does a wheel with angular speed \(88 \mathrm{rad} \mathrm{s}^{-1}\) make in one second?

A
7
Correct answer
B
14
C
28
D
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. \(\omega=2 \pi f\) \(\Rightarrow \quad f=\frac{\omega}{2 \pi}=\frac{88}{2 \times \frac{22}{7}}=\frac{88 \times 7}{2 \times 22}=14 \mathrm{rev} / \mathrm{s}\)

Hence, the correct answer is option: 'B'.

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