An electric motor starts from rest at time t=0. Its angular velocity is: w=100t-4t3
A) If the angle of rotation, x, of the motor is also zero when t=o, determine an expression for this angle in terms of t.
B) Determine the angular velocity when x=2pi radians. Give your answer in r.p.m.
The Attempt at a Solution
For A) I thought you just integrate the expression given for angular velocity so i got x=50t^2-t^4.
For B), I said that x=2pi, so 2pi=50t^2-t^4 but I am unsure how to solve this for x.
Any help much apriciated,