Force exerted on the jet on a vertical plate (2023)

Force exerted on the jet on a vertical plate

Force exerted on the jet toward a stationary vertical plate

Some liquid comes out in the structure of a jet from the outlet of a nozzle, which is fitted to a pipe into which the liquid is flowing under pressure.
If any plate, which may be fixed practically moving, is placed in each path of the jet, a force is exerted through the jet on the plate.
That force is obtained from Newton’s second law of motion otherwise of the impulse-momentum equation.
Since the impact of the jet indicates the force exerted by the jet on a plate that may be stationary or moving.

Suppose a jet of water coming out of the nozzle, strikes a flat vertical plate as noted

Let.

v = Velocity of the jet,

d = Diameter of the jet,

A = Area from Cross-Section from the jet

= (π/4)d^2

Each jet after striking the plate will run along with the plate.
Though the plate is at right angles to the jet.
Onward the jet after striking will get deflected through 90°.
Hence the component of the jet’s velocity, in the jet’s region, after striking order be zero.
The force exerted by the jet toward the plate in the way of the jet.

Fx = Rate of change of momentum in the direction of a force

= (Initial momentum – Final momentum)/Time

= (Mass x Initial velocity – Mass x Final velocity)/Time

= (Mass/Time) x (Initial velocity – Final velocity)

= (Density x Volume / Time in sec.) x (Velocity of the jet before striking – Velocity of jet after striking)

= p(v/t) x (u – 0)

= p Q x (V)

= p x a x v x v

= pav^2

For deriving the above equation, we have taken initial velocity minus final velocity or not final velocity minus initial velocity.
If this force exerted on the jet is to be determined then the final minus initial velocity is exercised.
Although if the force exerted by the jet on the plate is to be determined before initial velocity minus final velocity is exercised.

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