Two sprockets are attached by a chain such that there is no slippage. If for every 4 complete turns of the larger sprocket the smaller sprocket makes 6 complete turns and the larger, of radius 6", is turning at 16rpms, what is the angular velocity of the smaller sprocket?

Question

anonymous · Answer

they both have a same tangent velocity

speed = (angular speed) * radius

anonymous · Answer

big/small = 4/6

16/small = 4/6

solve for small

anonymous · Answer

I got 24 for the small one for its speed in rpms. Where would I go from there?

anonymous · Answer

that's the answer. You're done

anonymous · Answer

really? Okay

anonymous · Answer

Thank you