A wheel starting from rest gains an angular velocity of 10 rad/s after uniformly accelerated for 5 sec. The total angle through which it has turned is

Question

A wheel starting from rest gains an angular velocity of 10 rad/s after uniformly accelerated for 5 sec. The total angle through which it has turned is (A) 25 rad (B) 100 rad (C) 25 π rad (D) 50 π rad about a vertical axis

Tardigrade Admin · Accepted Answer

ω1=0 ω2=10 ( rad / sec ) t=5 sec θ=(ω1+ω2/2) × t =(10/2) × 5=25 rad

Q. A wheel starting from rest gains an angular velocity of $10$ rad/s after uniformly accelerated for $5$ sec. The total angle through which it has turned is

25 rad

100 rad

25 $π$ rad

50 $π$ rad about a vertical axis

$ω_{1} = 0$
$ω_{2} = 10 \frac{r a d}{sec} t = 5 sec$
$θ = \frac{ω _{1} + ω _{2}}{2} \times t$
$= \frac{10}{2} \times 5 = 25 r a d$

Q. A wheel starting from rest gains an angular velocity of 10 rad/s after uniformly accelerated for 5 sec. The total angle through which it has turned is

25 rad

100 rad

25 π rad

50 π rad about a vertical axis

ω1​=0 ω2​=10secrad​t=5sec θ=2ω1​+ω2​​×t =210​×5=25rad

Q. A wheel starting from rest gains an angular velocity of $10$ rad/s after uniformly accelerated for $5$ sec. The total angle through which it has turned is

25 $π$ rad

50 $π$ rad about a vertical axis

$ω_{1} = 0$
$ω_{2} = 10 \frac{r a d}{sec} t = 5 sec$
$θ = \frac{ω _{1} + ω _{2}}{2} \times t$
$= \frac{10}{2} \times 5 = 25 r a d$