A cylindrical 4.31 kg pulley with a radius of 0.294 m is used to lower a 6.27 kg bucket into a well. The bucket starts from rest and falls for 3.55 s. The acceleration of gravity is 9.8 m/ What is the angular acceleration of the cylindrical pulley?

Answer in units of rad/

Explanation:

M = Mass of cylinder = 4.31 kg

R = Radius of cylinder = 0.294 m

m = Mass of bucket = 6.27 kg

g = Acceleration due to gravity =

= Angular acceleration

a = Acceleration =

I = Moment of inertia of cylinder =

The force balance of the system is

For the disk

The angular acceleration of the pulley is .

c) up is the direction the magnetic force is acting on the charge.