Question

A fan rotates at 100 rpm.find its angular velocity and linear velocity if tip of its blades is 0.20 m away from its axis of rotation

Answer 1

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Answer 2

A rotating object has two types of velocity,

1) Angular velocity.

2) Linear velocity.

The mathematical expressions of the angular and linear velocities are,

a) Angular velocity = (2×π×rpm) /60

And, according to the data mentioned in the question,

= (2×π×100)/60

= 10.47 rad/s (answer)

b) Linear velocity = angular velocity × radius of the body

And, according to the data mentioned in the question,

= 10.47 × 0.20

= 2.094 m/s (answer)