A wheel rotates with a constant acceleration of 2.0 rad / s 2 If the wheel starts from rest, the number of revolutions it makes in first ten seconds is

Question

A wheel rotates with a constant acceleration of 2.0 rad / s 2 If the wheel starts from rest, the number of revolutions it makes in first ten seconds is (A) 8 (B) 16 (C) 24 (D) 32

Tardigrade Admin · Accepted Answer

θ=ω0 t+(1/2) α t2=0+(1/2) × 2 × 102=100 radian No.of revolutions =(θ/2 π)=(100/2 π) ≃ 16

Q. A wheel rotates with a constant acceleration of $2.0 r a d / s^{2}$ If the wheel starts from rest, the number of revolutions it makes in first ten seconds is

8

16

24

32

$θ = ω_{0} t + \frac{1}{2} α t^{2} = 0 + \frac{1}{2} \times 2 \times 1 0^{2} = 100$ radian
No.of revolutions $= \frac{θ}{2 π} = \frac{100}{2 π} ≃ 16$

Q. A wheel rotates with a constant acceleration of 2.0rad/s2 If the wheel starts from rest, the number of revolutions it makes in first ten seconds is

8

16

24

32

θ=ω0​t+21​αt2=0+21​×2×102=100 radian No.of revolutions =2πθ​=2π100​≃16

Q. A wheel rotates with a constant acceleration of $2.0 r a d / s^{2}$ If the wheel starts from rest, the number of revolutions it makes in first ten seconds is

$θ = ω_{0} t + \frac{1}{2} α t^{2} = 0 + \frac{1}{2} \times 2 \times 1 0^{2} = 100$ radian
No.of revolutions $= \frac{θ}{2 π} = \frac{100}{2 π} ≃ 16$