Engineering
Physics
BernoulIis Equation and Equation of Continuity
Question

A horizontal jet of water having velocity = 10m/s and stream cross section = 2cm2 hits a stationary flat plate perpendicularly with the water splashing out parallel to the plate. The plate experiences a force of

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Solution

When a jet hits a stationary flat plate perpendicularly, the water's momentum changes. The force on the plate equals the rate of change of momentum of the water jet. Since the water splashes out parallel to the plate, its final velocity perpendicular to the plate is zero. The initial velocity perpendicular to the plate is the jet velocity, u = 10 m/s. The mass flow rate is dmdt = density × area × velocity = 1000 kg/m³ × (2 × 10-4 m²) × 10 m/s = 2 kg/s. The force is F=dmdt×u = 2 kg/s × 10 m/s = 20 N.

Final Answer: 20 N