Outage Notification

I believe the linear speed for 3d is incorrect. You would need to use rw to find the linear speed of the chain (which does not equal the linear speed of the wheel).

Michael, This is what our answer key says: The  linear speed of all points on the rims of rear sprockets, front sprockets, and the chain is the same, since the chain doesn’t slip or stretch. What's different is the angular velocity of the sprockets. Set rw for the rear sprocket equal to rw for the front spocket (linear velocities the same). The rear sprocket has a smaller radius then the front sprocket, so it has a greater w - it rotates faster than the front spocket. Both wheels have to cover the same linear distance as they are driven by the sprocket. Does that make sense?   John

Yes, the statement in the answer key is correct. However, the number they use is not the linear speed of the chain, rear sprocket or front sprocket. They number they use is the linear speed on the outside of the wheel. Also, the answer key incorrectly states that the larger sprocket will have a larger angular speed which cannot be true (since it has a larger radius and v=wr)

Michael, Thanks you for your persistence! You, of course are correct. I edited and posted the corrected version, and would appreciate your review.  Thanks, John.