(C) Given: Initial angular velocity $\omega_i = 0 \ rad/s$,Final angular velocity $\omega_f = 20 \ rad/s$,Time $t = 5 \ s$.The angular displacement $\

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$\frac{25}{\pi} \text{ revolutions}$

(C) Given: Initial angular velocity $\omega_i = 0 \ rad/s$,Final angular velocity $\omega_f = 20 \ rad/s$,Time $t = 5 \ s$.The angular displacement $\theta$ is given by the formula: $\theta = \left( \frac{\omega_i + \omega_f}{2} \right) \times t$.Substituting the values: $\theta = \left( \frac{0 + 20}{2} \right) \times 5 = 10 \times 5 = 50 \ rad$.The number of revolutions $n$ is given by $n = \frac{\theta}{2\pi}$.Therefore,$n = \frac{50}{2\pi} = \frac{25}{\pi} \text{ revolutions}$.

Class 11 Physics 3-2.Motion in Plane Kinematics Circular Motion (Uniform Angular Accelaration)

Easy

$A$ grinding wheel attains a velocity of $20 \ rad/s$ in $5 \ s$ starting from rest. Find the number of revolutions made by the wheel.

A
$\frac{\pi}{25} \text{ revolutions}$
B
$\frac{1}{\pi} \text{ revolutions}$
C
$\frac{25}{\pi} \text{ revolutions}$
D
$\text{None of these}$

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$A$ grinding wheel attains a velocity of $20 \ rad/s$ in $5 \ s$ starting from rest. Find the number of revolutions made by the wheel.

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