A fan rotates at a uniform rate of 500
rpm. Find the speed of an atom of the
blade located 2 m from the centre.
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Answer:
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
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