Angular Displacement

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A wheel rotates with a constant angular velocity of 4 rad/s. How many complete revolutions does it make in 10 seconds?

RankGuru · Accepted Answer

1. **Total Angular Distance**: $	heta = \omega 	imes t = 4 	ext{ rad/s} 	imes 10 	ext{ s} = 40$ radians.
2. **Conversion to Revs**: One full revolution equals $2\pi$ radians.
3. **Calculation**:
   - $n = \frac{40}{2\pi} \approx \frac{40}{6.283}$.
4. **Result**: $n \approx 6.366$ revolutions.
5. **Round**: **6.37** complete (decimal) revolutions.

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Angular Displacement

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