Question

Blade of an electric fan is rotating uniformly with angular speed 80rpm. what is the linear speed of the middle point of the fan blade if each blade is 2m long?

Answer 1

Explanation:

Centripetal acceleration acts on the object along the radius towards the centre of the circular path.

When a point object is moving on a horizontal circular path with a constant speed, the direction of its velocity vector at an instant is changing with time. It means in a uniform circular motion the velocity vector of the object is changing with time. This indicates that the uniform circular motion is an example of accelerated motion.

Here, acceleration of a point at the tip of the blade

= centripetal acceleration

=ω

2

R=(2πf)

2

R

=(2×

7

22

×

60

1200

)

2

×

100

30

=4740 m/s

2

solution

Answer 2

Answer:

1 rpm = 30πrads−1

so ω=1200×30π=40πrads−1

acceleration of the point at the tip =ω2r=(40π)2×10030=4737.41ms−2

and the closest answer is 4740ms−2.

Explanation:

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