Question

a ceiling fan has a diameter of 120 cm and RPM 1500 at full speed considered a particle of mass 1 gram is looking at the outer end of a bleed how much force does it experience when a fan runs at full speed

Answer 1

Given,

diameter =120cm. hence radius(r)=60cm. = .6m,

RPM stands for revolution per minute which is equal to 1500

hence, one revolution = 2π.

So, for 1500 revolution ,angular frequency (ω) = 1500×2π/60 rad/s.

force experienced by particle $mrw^{2}$

where m = $10^{-3} kg$

So, force by putting value of m,r and ω is 14.804 N

Answer 2

Solution :-

Given,

Diameter = 120 cm.

Radius = 60 cm
= 60 × 10 ^-2 = 0.6 m

RPM = 1500 Revolution minutes

second = 1500\ 60 = 25ω (O mega)

One revolution = 2π

2 × 3.14 × 25 = 157 Rds/ sec

Force experience by partical = mω^2 r

m = 10 ^-3 kg ( given )

= 0.001 ×157 × 157 × 0.6

= 14.8 N Answer

==================
I hope it's help you.....!!!