Question

A body rotates about a fixed axis with an angular
acceleration of 1 rad/s². Through what angle does
it rotate during the time in which its angular
velocity increases from 5 rad/s to 15 rad/s ?​

Answer 1

Answer: the body willrotate by 100 radians.

Explanation:you can solve this question by applying the angular variant of the given equation.

v^2 = u^2 +(2as)

replace v by final angular velocity u by initial angular velocity and a by angular acceleration and you will get the answer on putting values.

Answer 2

$\huge{\underline{\underline{\mathbb{\pink{ANSWER:-}}}}}$

$\bold\purple{According\:to\:question:-}$

Body rotates with angular accelaration, α = 1 rad/s²

Angular velocity ω = 5 rad/s

Change in angular velocity ω' = 15 rad/s

Now we have to find θ = ?

$\bold\purple{From\:the\:above\:condition\:we\:have:-}$

$w {}^{'2} = w {}^{2} + 2a \: θ$

15² = 5²+ 2 × 1 × θ

2θ =225-25

2θ=200

θ = 100 rad .