Force exerted on the jet on vertical plate
Force exerted on the jet toward a stationary vertical plate
Introduction
- 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 of Newton's second law of motion otherwise of impulse-momentum equation.
- Since the impact of jet indicates the force exerted by the jet on a plate which may be stationary either moving.
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Fig, Force exerted by the jet toward a vertical plate
Force exerted on the jet toward a stationary vertical plate
- 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
= (Ï€/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 velocity of jet, in the region of the jet, after striking order be zero.
- The force exerted by the jet toward the plate in the way of the jet.
= (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 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 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 final minus initial velocity is exerted.
- Although if the force exerted by the jet on the plate is to be determined, before initial velocity minus final velocity is exerted.
