A Pelton wheel vane directs a horizontal, circular crosssectional jet of water symmetrically as indicated in Fig. P5.70 and Video V5.6. The jet leaves the nozzle with a velocity of \(100 \mathrm{ft} / \mathrm{s}\). Determine the \(x\)-direction component of anchoring force required to

(a) hold the vane stationary,

(b) confine the speed of the vane to a value of \(10 \mathrm{ft} / \mathrm{s}\) to the right. The fluid speed magnitude remains constant along the vane surface.

Figure P5.70

45 100 ft/s 45 D= 1 in. 45 D= 1 in. 45 (a) 18 100 ft/s 10 ft/s (b)