Question #229446

A 20 cm diameter jet of water strikes a curved vane with a velocity of 30 m/s. The inlet vane angle is zero and the outlet angle is 25°. Find the resultant force on the vane

(a) when the vane is fixed;

(b) when the vane is moving with a velocity of 15 m/s in the direction of jet.

Expert's answer

when the vane is fixed

"F_n = \\rho A(V-u)^2sin\\theta"

"F_n = 1000 \\times \\frac{\\pi}{4}(0.2)^2\\times 30 \\times sin25 = 398.30 N"

when the vane is moving with a velocity of 15 m/s in the direction of jet.

"F_n = \\rho A(V+u)^2sin\\theta"

"F_n = 1000 \\times \\frac{\\pi}{4}(0.2)^2\\times 45 \\times sin25 = 597.46 N"

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