A 16 kg mass is attached to a cord that is wrapped around a wheel with a radius of 10.9cm. The acceleration of the mass down the frictionless incline is measured to be 1.4 m/s2.The angle of incline is 36 degrees. Assume the axle of the wheel to be frictionless. The force of the the rope in 69.77N. the inertia is .5923.

Question

A 16 kg mass is attached to a cord that is wrapped around a wheel with a radius of 10.9cm. The acceleration of the mass down the frictionless incline is measured to be 1.4 m/s2.The angle of incline is 36 degrees. Assume the axle of the wheel to be frictionless. The force of the the rope in 69.77N. the inertia is .5923.
Find the angular speed of the wheel 2.0 s after it begins rotating, starting from rest. Answer in units of rad/s.

drwls · Answer

What are the units of what you call "the inertia"? Is that supposed to be the MOMENT OF inertia of the wheel? Do you know what that means?

If you know the acceleration rate of the mass going dwn the incline, you should be able to say how fast the wheel is turning after 2.0 seconds, without most of the other information.