Question

The velocity in a channel that is 3 m deep is 1 m/s. What is the Froude number in a 1/6 scale model of that channel that satisfies dynamic similarity?a. 1.b. 0.45.c. 0.18.d. 5.4.e. 0.08.

Answer 1

c. 0.18

Step-by-step explanation:

The Formula for Froude Number is given as follows:

Froude No. = Inertial Forces/Gravity Forces

Froude No. = v/√(gD)

where,

v = velocity = 1 m/s

g = 9.8 m/s²

D = Depth of channel = 3 m

Therefore,

Froude No. = (1 m/s)/√[(9.8 m/s²)(3 m)]

Froude No. = 0.18

hence, the correct option will be:

c. 0.18