Question

A fan starting from rest attains a 12 rev/min angular velocity by covering 12 rad/angle. Its angular acceleration is ?

Answer 1

Answer:

1st case:

We can write the equation of motion for circular motion as:

ω

2

=ω

0

2

+2aθ

n

Now, ω=

2

ω

0

,θ=36×2π (given)

So,

4

ω

0

2

=ω

o

2

+2α×36×2π

So, α=

4×144π

−3ω

0

2

2nd case:

0=

4

ω

0

2

−2×

4×144π

3ω

0

2

×θ

So, θ=24π

So, number of rotations made by the fan before coming to rest =

2π

24π

=12

I Hope its helpful to you.❤️