Question

A fan is running at 3000 rpm it is switched off it comes to rest

Answer 1

Hey. Question is Incomplete. Full Question will be,

A fan is running at 3000 rpm it is switched off it comes to rest in 3 seconds. What is the angular retardation? What is the angular Displacement?

Solution,

Rotation per minute.= 3000 rpm.

∴ Rotation per seconds = 3000/60 = 50 rps.

∴  Initial Angular Velocity (ω₀) = 2π × 50 = 100π

Final Angular Velocity (ω) = 0

Time = 4 seconds.

Using the Formula,

ω - ω₀ = αt

4α = 0 - 100π

∴ α = -25π rad/s²

Now, θ = ω₀t + 1/2αt²

θ = 1/2αt²

θ = 1/2 × 25π × 16

θ = 200π rad.

Hope it helps .

Answer 2

Please complete ur question.