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

Question

Philoid · Accepted Answer

Given –

Angular acceleration = 1 rad/s²,

Initial angular velocity, ω₀ = 5 rad/s

Final angular velocity, ω = 15 rad/s

From first equation of kinematics-

Also, Using the second equation of kinematics.

Where,

θ = total angle rotated

= initial angular velocity

t = time period

=angular acceleration

radians