Project ForgeFluid Mechanics
Bernoulli's Equation
GATE 2017
Hard
A propeller (D=15m) rotates at N=1 rps. A 1/100th-scale lab model is built, matching Froude number (V=πND, D, g relevant). The rotation speed of the model, to nearest integer, should be
10 rps(± 0.2 accepted)
Explanation
Froude similarity: N²D=constant, so N_model/N_proto=√(D_proto/D_model)=√100=10. N_model=1×10=10 rps.
Source: GATE CH 2017 (2017)
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