The force exerted on a bridge pier in a river is to be tested in a 1: 10 scale model using water as the working fluid. in the prototype the depth of water is 2.0 m, the velocity of flow is 1.5 m/s and the width of the river is 20 m. if the hydrodynamic force on the model bridge pier is 5 n, what would it be on the prototype? (hint: pressure ratio is equal to the length-scale ratio) (5 points; ans: 5000 n)

Explanation:

GIVEN DATA:

pressure ratio = length ratio

force = 5 N

scale = 1:10

velocity = 1.5 m/s

As pressure ratio = length ratio so we have

solving F_p

wavelength variability is the right one

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