Three rubber wheels are mounted on axles so that their outer edges make tight contact with each other and their centers are on a line. The wheel on the far left axle is connected to a motor that rotates it at 25.0 rpm, and drives the wheel in contact with it on its right, which, in turn, drives the wheel on its right. The left wheel (Wheel 1) has a diameter of d₁ = 0.20 m, the middle wheel (Wheel 2) has d₂ = 0.30 m, and the far right wheel (Wheel 3) has d₃ = 0.45 m.

(a) If Wheel 1 rotates clockwise, in which direction does Wheel 3 rotate?

(b) What is the angular speed of Wheel 3, and what is the tangential speed on its outer edge?

(c) What arrangement of the wheels gives the largest tangential speed on the outer edge of the wheel in the far right position (assuming the wheel in the far left position is driven at 25.0 rpm)?