Question

What is the non-dimensional number that results when the ratio of inertia force to gravity force is considered?

• A. Reynolds number
• B. Froude number
• C. Mach number
• D. Euler number

Hint:

Important dimensionless numbers: \[ \boxed{ \begin{aligned} \text{Reynolds Number} &\rightarrow \frac{\text{Inertia}}{\text{Viscous}}\\ \text{Froude Number} &\rightarrow \frac{\text{Inertia}}{\text{Gravity}}\\ \text{Mach Number} &\rightarrow \frac{\text{Velocity}}{\text{Speed of Sound}}\\ \text{Euler Number} &\rightarrow \frac{\text{Pressure}}{\text{Inertia}} \end{aligned} } \]

Answer 1

The Correct Option is B

Step 1: Recall the definition of Froude number. The Froude number represents the ratio of inertia force to gravitational force. \[ Fr=\frac{\text{Inertia Force}}{\text{Gravity Force}} \] It is commonly expressed as \[ Fr=\frac{V}{\sqrt{gL}}. \]

Step 2: Identify the correct option. Hence, \[ \boxed{\text{Froude Number}} \] is the correct answer. Therefore, \[ \boxed{(B)} \] is the correct answer.