angular displacement

Question

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.

Rank Guru

angular displacement

Select the correct option:

More angular displacement Practice Questions

With the same data (α = 4 rad/s²), angular displacement in first 5 s?

A wheel rotates through 720 degrees. Angular displacement in radians is: