The figure shows a rotating wheel with radius 40 cm and a connecting rod AP with length 1.2 m. The pin P slides back and forth along the -axis as the wheel rotates counter clockwise at a rate of 360 revolutions per minute.
(a) Find the angular velocity of the connecting rod, dα/dt, in radians per second, when θ = π/3.
(b) Express the distance x = |OP| in terms of θ.
(c) Find an expression for the velocity of the pin P in terms of θ.