Air flows smoothly onto a fixed vane and turns through an angle of 60°. The pressure across the vane is constant and the velocity at inlet is 150 m/s. The air leaves with a velocity 145 m/s. Determine the x and y components of the force (magnitude and direction) exerted on the vane if the volumetric flow rate is 0.5 m3/s (air density is 1.2 kg/m3 ).

Asimple speed reducer is composed of 2 spur gears. the pinion gear has a pitch diameter of 0.75" and 36 teeth while the driven gear has a pitch diameter of 4.0" and 192 teeth. a)-what is the diametral pitch of each gear? b)-if an electric motor rotating ccw at 3000 rpm is coupled to the pinion, what is the rotational speed of the driven gear? c)-if the torque delivered to the pinion is 1 n-m, what is the torque on the driven gear? d)-what is the power transmitted by the gear train?