Question

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Hello Friends!

A electric fan of 500 watt is running from electric current.If the mass of fan is 10 kg and if it runs per 10 hour, Find its Velocity.

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Answer 1

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Answer 2

There is not enough information. You need the moment of inertia of fan to solve it.

it can not be solved as a linear motion problem as fan is not running like a car or athlete.

If you were given the moment of inertia as I,

power = 500watt

So energy used per second = 500J

Energy used = 1/2 × I × w^2

=> 500 = 1/2 × I × w^2

=> w^2 = 500×2/I

=> w = √(1000 / I) rad/s

w is the rotational velocity of the fan.

if you want the linear velocity of the tip of the blades of the fan, you can find it by the formula "v = wr" where r is radius (or distance of tip of the blade from centre)

Please note that the time 10hrs is of no use here. the time will be needed just to calculate the total energy consumed by the fan in 10 hrs.