Water Depth given Froude Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Water Depth = ((Vessel Speed/Froude Number)^2)/[g]
D = ((Vs/Fr)^2)/[g]
This formula uses 1 Constants, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Water Depth - (Measured in Meter) - Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.
Vessel Speed - (Measured in Meter per Second) - Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.
Froude Number - Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.
STEP 1: Convert Input(s) to Base Unit
Vessel Speed: 100 Meter per Second --> 100 Meter per Second No Conversion Required
Froude Number: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = ((Vs/Fr)^2)/[g] --> ((100/10)^2)/[g]
Evaluating ... ...
D = 10.1971621297793
STEP 3: Convert Result to Output's Unit
10.1971621297793 Meter --> No Conversion Required
FINAL ANSWER
10.1971621297793 10.19716 Meter <-- Water Depth
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Water Depth given Froude Number Formula

​LaTeX ​Go
Water Depth = ((Vessel Speed/Froude Number)^2)/[g]
D = ((Vs/Fr)^2)/[g]

What is Froude Law?

Froude's Law states that the speed attainable by a creature or a ship is proportional to the square root of its scale. Froude number (Fr), in hydrology and fluid mechanics, dimensionless quantity used to indicate the influence of gravity on fluid motion.

How to Calculate Water Depth given Froude Number?

Water Depth given Froude Number calculator uses Water Depth = ((Vessel Speed/Froude Number)^2)/[g] to calculate the Water Depth, The Water Depth given Froude Number formula is defined as the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom. It is a critical measurement in hydrology, oceanography, and engineering, influencing various aspects of water resources, navigation, and aquatic habitats. Water Depth is denoted by D symbol.

How to calculate Water Depth given Froude Number using this online calculator? To use this online calculator for Water Depth given Froude Number, enter Vessel Speed (Vs) & Froude Number (Fr) and hit the calculate button. Here is how the Water Depth given Froude Number calculation can be explained with given input values -> 10.19716 = ((100/10)^2)/[g].

FAQ

What is Water Depth given Froude Number?
The Water Depth given Froude Number formula is defined as the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom. It is a critical measurement in hydrology, oceanography, and engineering, influencing various aspects of water resources, navigation, and aquatic habitats and is represented as D = ((Vs/Fr)^2)/[g] or Water Depth = ((Vessel Speed/Froude Number)^2)/[g]. Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water & Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.
How to calculate Water Depth given Froude Number?
The Water Depth given Froude Number formula is defined as the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom. It is a critical measurement in hydrology, oceanography, and engineering, influencing various aspects of water resources, navigation, and aquatic habitats is calculated using Water Depth = ((Vessel Speed/Froude Number)^2)/[g]. To calculate Water Depth given Froude Number, you need Vessel Speed (Vs) & Froude Number (Fr). With our tool, you need to enter the respective value for Vessel Speed & Froude Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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