A wheel has angular acceleration of 3.0 rad/sec-2 and an initial angular speed of 2.00 rad s-1. In a time of 2 s it has rotated through an angle (in radian) of

Question

A wheel has angular acceleration of 3.0 rad/sec-2 and an initial angular speed of 2.00 rad s-1. In a time of 2 s it has rotated through an angle (in radian) of (A) 10 (B) 12 (C) 4 (D) 6

Tardigrade Admin · Accepted Answer

Given: Angular acceleration, α=3 rad / sec 2 Initial angular velocity ωi=2 rad / sec Time t=2 sec Using, θ=ωi t+(1/2) α t2 ∴ θ=2 × 2+(1/2) × 3 × 4 =4+6=1 0 radian

Q. A wheel has angular acceleration of $3.0 r a d / se c^{- 2}$ and an initial angular speed of $2.00 r a d s^{- 1}$ . In a time of $2 s$ it has rotated through an angle (in radian) of

10

12

4

6

Given: Angular acceleration, $α = 3 r a d / sec^{2}$
Initial angular velocity $ω_{i} = 2 r a d / sec$
Time $t = 2 sec$
Using, $θ = ω_{i} t + \frac{1}{2} α t^{2}$
$∴ θ = 2 \times 2 + \frac{1}{2} \times 3 \times 4$
$= 4 + 6 = 10$ radian

Q. A wheel has angular acceleration of 3.0rad/sec−2 and an initial angular speed of 2.00rads−1. In a time of 2s it has rotated through an angle (in radian) of

10

12

4

6

Given: Angular acceleration, α=3rad/sec2 Initial angular velocity ωi​=2rad/sec Time t=2sec Using, θ=ωi​t+21​αt2 ∴θ=2×2+21​×3×4 =4+6=10 radian

Q. A wheel has angular acceleration of $3.0 r a d / se c^{- 2}$ and an initial angular speed of $2.00 r a d s^{- 1}$ . In a time of $2 s$ it has rotated through an angle (in radian) of

Given: Angular acceleration, $α = 3 r a d / sec^{2}$
Initial angular velocity $ω_{i} = 2 r a d / sec$
Time $t = 2 sec$
Using, $θ = ω_{i} t + \frac{1}{2} α t^{2}$
$∴ θ = 2 \times 2 + \frac{1}{2} \times 3 \times 4$
$= 4 + 6 = 10$ radian