Determine the angle of jet, Mechanical Engineering

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A jet of water moving at 8 m/sec. impinges on a concave-shaped vane to deflect the jet through 120^o when stationary. If the vane is moving at 5 m/sec., determine the angle of jet so that there is no shock at inlet. Also calculate the absolute velocity of jet at exit both in direction and magnitude and the work done per second per Kg of water. Assume that vane is smooth.

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