. A motor is spinning a circular disk with a diameter of 2.5 inches at a rate of 7200 RPM (revolutions per minute). If the motor and disk suddenly stop spinning at exactly 0.01 seconds, what the angle of rotation of the disk.

Respuesta :

The angle turned is obtained as 3.77 rads.

What is the angle of rotation?

We have the following information about the disk;

velocity 1= 7200 RPM

velocity 2 = 0 RPM

time taken = 0.01 seconds

We must convert from RPM to rad/s using the relation;

2π·7200/60 = 754 rad/s

Using;

θ = ωavt

θ = (754 rad/s + 0 rad/s)/2 * 0.01 seconds

θ = 3.77 rads

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