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An electric fan rotates 100 times in 50s...

An electric fan rotates 100 times in 50s. If the of its wing from its axis of rotation is 0.5 m, then the speed of particle at the edge of the wing is ______ m `s^(-1)`

A

`2pi`

B

`0.5 pi`

C

`pi`

D

2

Text Solution

Verified by Experts

The correct Answer is:
A

Radius of the circular path coverd by the fan = 0.5m.
The number of rotations per second= 100
Speed = `("distance")/("time")= (100 xx (2pir))/50`
`(100 xx 2pi xx 0.5)/50 = 2pi m s^(-1)`
`(4m + 3m + 5m)/(20s +10s +30s)= (12 m)/(60 s) = 0.2 m s^(-2)`
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