The moving fan has a constant angular acceleration of π /6 rad/s2 . If it starts from rest, the number of revolution it makes in one minute is

Question

The moving fan has a constant angular acceleration of π /6 rad/s2 . If it starts from rest, the number of revolution it makes in one minute is (A) 1600 (B) 500 (C) 350 (D) 150

Tardigrade Admin · Accepted Answer

: For angular motion, θ =ω t+(1/2)α t2 θ =0+(1/2)× (π /6)(60)2rad ∴ 2π × Rotations made (N)=(π × 3600/2× 6) or Rotations made =N=(π × 3600/2× 6× 2π ) N=150

Q. The moving fan has a constant angular acceleration of $π /6$ $r a d / s^{2}$ . If it starts from rest, the number of revolution it makes in one minute is

1600

500

350

150

: For angular motion, $θ = ω t + \frac{1}{2} α t^{2}$ $θ = 0 + \frac{1}{2} \times \frac{π}{6} (60)^{2} r a d$ $∴$ $2 π \times$ Rotations made $(N) = \frac{π \times 3600}{2 \times 6}$ or Rotations made $= N = \frac{π \times 3600}{2 \times 6 \times 2 π}$ $N = 150$

Q. The moving fan has a constant angular acceleration of π/6 rad/s2 . If it starts from rest, the number of revolution it makes in one minute is

1600

500

350

150

: For angular motion, θ=ωt+21​αt2 θ=0+21​×6π​(60)2rad ∴ 2π× Rotations made (N)=2×6π×3600​ or Rotations made =N=2×6×2ππ×3600​ N=150

Q. The moving fan has a constant angular acceleration of $π /6$ $r a d / s^{2}$ . If it starts from rest, the number of revolution it makes in one minute is

: For angular motion, $θ = ω t + \frac{1}{2} α t^{2}$ $θ = 0 + \frac{1}{2} \times \frac{π}{6} (60)^{2} r a d$ $∴$ $2 π \times$ Rotations made $(N) = \frac{π \times 3600}{2 \times 6}$ or Rotations made $= N = \frac{π \times 3600}{2 \times 6 \times 2 π}$ $N = 150$