Angular Acceleration of Vehicle Wheel (2020) – Rankers Physics
Topic: Circular Motion
Subtopic: Kinematics of Circular Motion

Angular Acceleration of Vehicle Wheel (2020)

The angular speed of the wheel of a vehicle is increased from $360\text{ rpm}$ to $1200\text{ rpm}$ in $14\text{ second}$. Its angular acceleration is.

(2020-Covid)

$28\pi\text{ rad/s}^2$
$120\pi\text{ rad/s}^2$
$1\text{ rad/s}^2$
$2\pi\text{ rad/s}^2$

Solution:

Concept: Kinematic equation for angular motion. Formula: $\alpha = \frac{\Delta \omega}{t}$. Solution: $\omega_1 = 12\pi$, $\omega_2 = 40\pi$, yielding $\alpha = \frac{28\pi}{14} = 2\pi\text{ rad/s}^2$.

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