A wheel rotating with uniform angular acceleration covers 50 revolutions in the first five seconds after the start. Find the angular acceleration and the angular velocity at the end of five seconds.
Given data
Α = angular acceleration =50 rad/sec2
t = time = 5 sec.
θ = total angle rotated
= 50 * 2π radians.
Total angle rotated at the end of 5 seconds
Using the second equation of kinematics.
Where,
θ = total angle rotated
= initial angular velocity
t = time period
=angular acceleration
rad/sec2
We know that, 1 revolution = 2π rad.
Revolutions/s
Revolutions/sec2.
1