A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is .

Question

A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations made in the process is . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

ωf=ω0+α t α=1200 × 6 θ=ω0 t+(1/2) α t2 =600 × (10/60)+(1/2) × 1200 × 6 × (1/36) θ=200

Q. A body rotating with an angular speed of $600 r p m$ is uniformly accelerated to $1800 r p m$ in $10 sec$ . The number of rotations made in the process is ______.

$ω_{f} = ω_{0} + α t$
$α = 1200 \times 6$
$θ = ω_{0} t + \frac{1}{2} α t^{2}$
$= 600 \times \frac{10}{60} + \frac{1}{2} \times 1200 \times 6 \times \frac{1}{36}$
$θ = 200$

Q. A body rotating with an angular speed of 600rpm is uniformly accelerated to 1800rpm in 10sec. The number of rotations made in the process is ______.

ωf​=ω0​+αt α=1200×6 θ=ω0​t+21​αt2 =600×6010​+21​×1200×6×361​ θ=200

Q. A body rotating with an angular speed of $600 r p m$ is uniformly accelerated to $1800 r p m$ in $10 sec$ . The number of rotations made in the process is ______.

$ω_{f} = ω_{0} + α t$
$α = 1200 \times 6$
$θ = ω_{0} t + \frac{1}{2} α t^{2}$
$= 600 \times \frac{10}{60} + \frac{1}{2} \times 1200 \times 6 \times \frac{1}{36}$
$θ = 200$