Question

For similitude with gravity force, velocity ratio is

1. 1.0
2. (L_r)^1/2
3. (L_r)^-1
4. L_r)^3/2

Answer 1

Correct Answer - Option 2 : (L_r)^1/2

As Froude No is equal So (Fe)_m = (Fe)_p

\( \Rightarrow \frac{{{V_m}}}{{\sqrt {{g_m}{L_m}} }} = \frac{{{V_P}}}{{\sqrt {{g_p}{L_p}} }}\)

Since g_m = g_p

\(\therefore \frac{{{V_m}}}{{\sqrt {{L_m}} }} = \frac{{{V_p}}}{{\sqrt {{L_p}} }}\) 

\( \Rightarrow \frac{{{{\rm{V}}_{\rm{p}}}}}{{{{\rm{V}}_{\rm{m}}}}} = \sqrt {\frac{{{{\rm{L}}_{\rm{p}}}}}{{{{\rm{L}}_{\rm{m}}}}}} = \sqrt {{{\rm{L}}_{\rm{r}}}} \) 

Where L_r = Scale ratio for length