A wheel starting from rest is uniformly accelerated at 4 rad/s 2 for 10 seconds.It is allowed to rotate uniformly for the next 10 seconds and is finally brought to rest in the next 10 seconds. Find the total angle rotated by the wheel.


Share with your friends
Call

Theta=wt+1/2alpha Tsq. By this we will get
Theta=200.
For first 10 and last 10 sec theta will be same therefore =400.
And for 10 sec of middle is alpha ×100= 400.
Total =400+400=800rad

Call

Area under the curve will decide the total angle rotated
maximum angular velocity = 4 × 10 = 40 rad/s
Therefore, area under the curve = 1/2 × 10 × 40 + 40 × 10 + 1/2 × 40 × 10
= 800 rad
Total angle rotated = 800 rad.