A wheel rotates with a constant acceleration of 2.0 rad/sec2 If the wheel start from rest. The number of revolution it makes in the first ten seconds will be approximately.
(A) 8
(B) 16
(C) 24
(D) 32
Correct option: (B) 16
Explanation:
α = 2 rad/s2
ω0 = 0
t = 10 sec
N = ?
θ = ω0t + (1/2) α t2
θ = 0 + (1/2) × 2 × (10)2
θ = 100 rad
i. e. 2πN = 100 rad
N = [(100) / (2π)] = 15.92 ≈ 16