Question

In: Physics

A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 50...

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

Solutions

Expert Solution

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


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