Question

# A wheel starting from rest is uniformly accelerated at 4 rad/s2 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.

Solution

## Area under the curve will decide the total angle rotated : ∴ Maximum angular velocity = 4 × 10 = 40 rad/s Therefore, Area under the curve =12×10×40+40×+12×40×10 =800 rad ∴ Total angle rotated = 800 rad.

Suggest corrections