Question

A body rotates about a fixed axis with an angular acceleration of 3 rad//s^(2) The angle rotated by it during the time when its angular velocity increases frm 10 rad/s to 20 rad/s (in radian) is

Answer 1

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

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

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 .