Question

25. A ceiling fan is in ucm of diameter 60 cm with uniform speed of 300 rpm. The centripetal acceleration acting on the tip of the blade is- (a) 108 x 104 m/s2 (b) 90 m/s2 (c) 170 m/s2 (DY 300 m/s2​

Answer 1

Answer:

Diameter =2R=120cm=120×10

−2

m

Rpm=1500

Revolution per second =

60

1500

=25

Angular velocity w=25×2π=50πrad/s

a) Force =mrw

2

=1×10

−3

×60×10

−3

×2500pi

2

=14.8N

b) The fan exerts this force on the particle.

c) By Newton's third law the particle also exert 14.8N of force on the blade along its surface.