# Force exerted on curved plate - Ishwaranand

## Force exerted by a jet on a fixed curved plate

Jet strikes the curved plate at the centre
• Sign a jet of water strikes a fixed curved plate at the middle as shown in Fig.
• Some jet after striking the plate comes out with the identical velocity if the plate is smooth and there is never a loss of energy due to impact of the jet, into the tangential direction of the curved plate.
• This velocity at the outlet of the plate can be resolved within two components, one in the direction of jet also other perpendiculars over the direction of the jet.
• Component of velocity in the direction of jet = -v cosθ. Image Source ~ Crafted With ©Ishwaranand - 2020 ~ Image by ©Ishwaranand

Fig. Jet striking a fixed curved plate at the centre

(-ve sign is taken as the velocity at an outlet is in the opposite direction of the jet of water coming out from nozzle).

### Force exerted on the jet into the direction of jet,

@ Fx = Mass per secx (Vx1 - Vx2)
where,
Vx2 = Final velocity in the direction of jet = - v cosθ
Fx = ρav {v - (-v cosθ)}
= ρav (v + v cosθ)
= ρav^2 (1 + cosθ)

@ Fy = Mass per secx (Vy1 - Vy2)
where,
Vy1 = Initial velocity into the direction of y = 0
Vy2 = Final velocity into the direction of y = v sinθ
Fy = ρav [0 – vsinθ]
= ρav^2 sinθ