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Wheel A of radius r=10cm is coupled by belt B to wheel C with radius R=25cm.

the angular speed of wheel A is increased from rest at a constant rate of 1.6 rad/s^2.

Find the time needed for wheel C to reach an angular speed of 100 rev/min, assuming the belt does not slip (hint: the linear speeds of the two rims must be equal)

my original process of solving was to try and relate the two speeds with a ratio, but that method has proven unsuccessful.

I get really confused whenever dealing with angular speed so if anyone could help that'd be great!

thanks

Jim