Question:
A wheel rotating at $12$ rev/s is brought to rest in $6$ s. The average angular deceleration in rad/s$^2$ of the wheel during this process is
A wheel rotating at $12$ rev/s is brought to rest in $6$ s. The average angular deceleration in rad/s$^2$ of the wheel during this process is
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Always convert rev/s to rad/s before calculation.
Updated On: May 1, 2026
- $4\pi$
- $4$
- $72$
- $1/\pi$
- $\pi$
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The Correct Option is A
Solution and Explanation
Concept:
\[ \alpha = \frac{\omega_f - \omega_i}{t} \]
Step 1: Convert to rad/s.
\[ \omega_i = 12 \times 2\pi = 24\pi \]
Step 2: Apply formula.
\[ \alpha = \frac{0 - 24\pi}{6} = -4\pi \] Magnitude: \[ 4\pi \]
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