Froude number was titled after William Froude is a dimensionless number known as the ratio of characteristic velocity to the gravity wave velocity.
Where the characteristic velocity is v and
the characteristic wave velocity is c,
gravity in terms of the Froude number is articulated as,
Where,
- Froude number is Fr
- velocity is v
- gravity is g
- characteristic length is l
Froude Number Solved Problems
Underneath are some of the solved problems based on Froude Number:
Problem 1: Find the Froude number if the boat’s length is 5 m and the velocity is 20 m / s.
Answer:
Known: length l = 5m,
velocity v = 20 m/s
The Froude number is articulated as,
Fr = 2.86
Thus, the Froude number of the boat is 2.86.
Problem 2: Calculate the velocity of the fish moving through the water if its length 0.3 m and Froude number is 0.9.
Answer:
Known: l (length) = 0.3m
Fr (Froude number) = 0.9
The Froude number is given by,
The velocity of the moving fish is
v= Fr × (gl)(1/2)
v = 0.9 × (9.8 × 0.3)(0.5)
v = 0.9 × 1.71
v = 1.539 m/s
Thus, the velocity of the moving fish is 1.59 m/s.