Kinematics of Circular Motion: Practice Problem & Solution
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)
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Kinematics of Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:
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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