a trail bike has a front wheel with a diameter of 40cm and a back wheel of of a diametet 60cm. Through what angle does the front wheel turn if the back wheel turns through 8 radians?

Answer 1

since the wheels travel the same distance, and s = rθ,

40θ = 60*8

or, since the front wheel is 3/2 as big, it turns 3/2 as fast.