Solve the below problem:
Q: A stream of water flowing at a rate of 300 gal/min and moving with a velocity of magnitude v at both A and B is deflected by a vane welded to a hinged plate. The combined weight of the vane and plate is 40 lb with the mass center at point G. Knowing that θ= 45°, determine
(a) The speed v of the flow,
(b) The reaction at C. (1 ft3 = 7.48 gal.)