# A ceiling fan has

Given parameters:

Diameter, d = 120 cm = 1.2 m

Radius, r = d/2 = 0.6 m

Frequency, f = 1500 rpm (rotations per minute)

= 1500/60 rps (rotations per second)

= 25 s-1

Angular frequency, ω = 2πf = 2 × 3.14 × 25

Mass of the particle, m = 1g =0.001 kg

Force on the particle = mrω2

= 0.001 × 0.6 × 157.14 ×157.14

= 14.81 N

This force is exerted by factors like friction, air drag and inertia.

Force exerted by the particle on the blade = Force exerted on the particle = 14.81 N

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