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A ceiling fan has a diameter (of the cir...

A ceiling fan has a diameter (of the circle through the outer edges of the three blades) of 120 cm and rpm 1500 at full speed.Consider a particle of mass 1 g sticking at the outer end of a blade. How much force does it experience when the fan runs at full speed? who exerts this force on the particle? How much force does the particle exert on the blade along its surface?

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The correct Answer is:
A, D

A ceiling fan has a diameter =120 cm
`:. Radius, r=60 cm=0.6m`
Mass of particle ont eh outer on the outer end of a blade is 1 g.
`n=1500rev/min` ltbr. `=25 rev/sec`
`omega=2pin=2pixx25`
`=157.14`
Force of the particle on the blade
`=Mrw^2`
`=(0.001)xx0.6xx(157.14)^2`
`=14.8N`
The fan runs at a full speed in ciruclar path. This exerts the force on the particle (inertia) the particle also exerts a force of 14.8 N on the blade along its surface.
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