In: Physics
A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 50 sec. It is then turned off and coasts to a stop in 40 s. Find the total number of revolution made before the fan stops
Let us divide the problem in two parts, one before it reaches 120 rev/min in 50 sec and second during next 40 Second after it.
1.
Initial Angular Speed

Final Angular Speed

Then angular acceleration will be



Angular distance covered in this duration



2.
Initial Angular Speed

Final Angular Speed

Angular Acceleration will be


Angular distance covered in this duration


Total angular distance covered



Number of revolutions


