At the instant shown the lower rack is moving to the right with a speed of υL = 4 ft/s, wh...

At the instant shown the lower rack is moving to the right with a speed of υL = 4 ft/s, while the upper rack is fixed. If the nominal radius of the pinion is R = 2.5 in., determine ωP, the angular velocity of the pinion, as well as the velocity of point O, i.e., the center of the pinion.

Figure P6.34