Question

A vertical plate has a sharp-edged orifice at its center. A water jet of speed V strikes the plate concentrically. Obtain an expression for the external force needed to hold the plate in place, if the jet leaving the orifice also has speed V. Evaluate the force for V515 ft/s, D54 in., and d51 in. Plot the required force as a function of diameter ratio for a suitable range of diameter d.

Answer 1

Force = 455672061 N

Step-by-step explanation:

given data

V = 515 ft/s

D = 54 in = 4.5 ft

d = 51 in = 4.25 ft

to find out

Evaluate the force

solution

we know that force is express as

force F = ρ ΔA v² ..................1

put here value we get

force F = 1000 ×
`(\pi)/(4)` [ D² - d² ] × v²

F = 1000 ×
`(\pi)/(4)` [ 4.5² - 4.25² ] × 515²

Force = 455672061 N