**1. The problem statement, all variables and given/known data**

A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, as shown in the figure (see the figure (Figure 1) ). The pulley is a uniform disk with mass 11.8kg and radius 55.0cm and turns on frictionless bearings. You measure that the stone travels a distance 12.7m during a time interval of 2.80s starting from rest.

Find the mass of the stone.

Find the tension in the wire.

**2. Relevant equations**

Work Kinetic Energy Theorem

Kinematics

Torque(maybe?)

**3. The attempt at a solution**

[itex]a_{stone}=\frac{2\Delta X}{t^2}=3.24[/itex]

[itex]T=m_{stone}g-m_{stone?}a[/itex]

[itex]\Delta K = W_{wheel} + W_g=0[/itex]

[itex]\Delta K = \frac{I\omega_f^2}{2}+W_g[/itex]

[itex]\omega = \alpha t [/itex] ??

And that’s where I got stuck, I don’t know how to derive the final angular velocity

http://ift.tt/NVoY1g