trigo
posted by jane .
the front wheel of a bicycle has a diameter of 16 in and the back wheel has a diameter of 26 in. through what angles does the front wheel turn if the rear wheel turns through 24 radians?

The product of radius and angle turned through is the same for both wheels. The smaller wheel turns faster.
24*26 = 16*theta
theta = 1.5*26 = 39 radians