First slide

Angular velocity, Angular acceleration

Question

A flywheel gains a speed of 540 rpm in 6 second. Its angular acceleration will be

Moderate

A

3 $π$ rad / sec2
B

18 $π$ rad/sec²
C

54 $π$ rad / sec²
D

9 $π$ rad / sec²

Solution

$\begin{array}{l} ω_{2} = ω_{1} + αt \\ ∴ α = \frac{ω_{2} - ω_{1}}{t} = \frac{540 \times (2 π / 60)}{6} \frac{rad / \sec}{\sec} \\ = 3 πrad / \sec^{2} \end{array}$

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