A mass attached to a cord around a disk

[disque]

Homework Statement

Imagine a frictionless pulley (a solid cylinder) of unknown mass M and radius r = 0.200 m which is used to draw water from a well. A bucket of mass m = 1.50 kg is attached to a massless cord wrapped around the pulley. The bucket starts from rest at the top of the well and falls for t = 3.00 s before hitting the water h = 9.99 m below the top of the well.

What is the tension in the cord?
What is the torque that is applied to the pulley due to the cord?

Homework Equations

Torque=force*radius
Tension=mass*g?

The Attempt at a Solution

 

[tiny-tim]

Hi disque!

Torque=force*radius

Yes

Tension=mass*g?

No … use conservation of energy to find the speed, differentiate for the acceleration, then use good ol' Newton's second law to find the tension