Project ForgeFluid Mechanics
Bernoulli's Equation & Flow
GATE 2014
Medium
An ideal water jet with volume flow rate of 0.05 m³/s strikes a flat plate placed normal to its path and exerts a force of 1000 N. Considering the density of water as 1000 kg/m³, the diameter (in mm) of the water jet is __________.
56.4 mm(± 0.6 accepted)
Explanation
Force on a plate normal to a jet: F=ρQV=ρQ(Q/A)=ρQ²/A, so A=ρQ²/F=1000×0.05²/1000=0.0025 m². Diameter: D=√(4A/π)=√(4×0.0025/π)≈0.05642 m ≈ 56.4 mm.
Source: GATE ME 2014 (Session 1 / Set-1) (2014)
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