An electric fan rotates at 800rev/min.consider a point on the blade a distance of 0.16m from the axis, calculate the velocity of this point and it's centripetal acceleration​

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Answer:

A rotating fan completes 1200 revolutions every minute. Consider the tip of a blade, at a radius of 0.15 m.

Explanation:

The tangential velocity at the point, 0.16 m from the axis is 13.44 m/s.

We have the following information;

Angular speed of the blade = 800rev/min

Radius of the point under consideration = 0.16m

We have to convert the angular velocity to units of rad/s

Given that;

1 rev/min = 0.105 rad/s

800rev/min = 800rev/min × 0.105 rad/s/1 rev/min

= 84 rad/s

Now;

v = rω

v = Tangential velocity

r = radius

ω = angular velocity

v =  0.16m × 84 rad/s

v = 13.44 m/s

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