Pulley Problems with Rotation

[A2Fire]

1. Wheel A of radius 10 cm is coupled by belt B to a wheel C of radius 25 cm. Wheel A increases its angular speed from rest at a uniform rate of 1.6 rad/s^2. Determine the ime required for wheel C to reach a rotational speed of 100 rev/min, assuming the belt does not slip



2. I'm very confused by what exactly I have to solve for first. I know that I have to use the 5 equations of motion (with the rotation variables subbed in for the linear ones) but I'm still not sure.



3. I thought that since the radius of C is A*2.5, I thought about solving for A, and then multiplying by 2.5, but I don't know... Can someone please show me how to do it?

 

[A2Fire]

by coupled, it means that the two wheels are connected by a belt that goes around them, like a rubber band.

 

[A2Fire]

wf^2-wi^2=2a(theta) is what I'm thinking of using, but I don't know where to get (theta) in relation to the radius. i know that theta r = d, but there's no "d"

:(