Question

In: Physics

An airplane’s propeller blades slow down to 2rev/s in 5s, making 200rev in the process. Assuming...

An airplane’s propeller blades slow down to 2rev/s in 5s, making 200rev in the process. Assuming a constant acceleration, what was the blades’ angular speed before starting to slow down? Answer: 4680 rpm

Solutions

Expert Solution

The blade traverses 200 rev in 5s.

We can use the kinematics equation,

is the angular displacement, angular speed of the blades before slowing down is , is the angular acceleration and t denotes the time.

Given, in time t=5 s

Putting the value,

We also use another kinematic equation,

is the angular velocity after time t which is given as

Putting the values,

Using this value in equation (i) we have

Hence, we have,

Converting this into rpm we have

This is the blade's angular speed before slowing down.

genius_generous answered 1 month ago

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