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Vessel Speed given Froude Number Calculator

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✖Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.ⓘ Froude Number [Fr]			+10% -10%
✖Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.ⓘ Water Depth [D]			+10% -10%

✖Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.ⓘ Vessel Speed given Froude Number [V_s]

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Vessel Speed given Froude Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vessel Speed = Froude Number*sqrt([g]*Water Depth)
V_s = Fr*sqrt([g]*D)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Froude Number: 10 --> No Conversion Required
Water Depth: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_s = Fr*sqrt([g]*D) --> 10*sqrt([g]*12)

Evaluating ... ...

V_s = 108.480320795986

STEP 3: Convert Result to Output's Unit

108.480320795986 Meter per Second --> No Conversion Required

FINAL ANSWER

108.480320795986 ≈ 108.4803 Meter per Second <-- Vessel Speed

(Calculation completed in 00.004 seconds)

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< Flushing or Circulation Processes and Vessel Interactions Calculators

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Individual Wave Celerity created by Moving Vessel

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Vessel Speed given Froude Number Formula

LaTeX Go

Vessel Speed = Froude Number*sqrt([g]*Water Depth)
V_s = Fr*sqrt([g]*D)

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 Vessel Speed given Froude Number?

Vessel Speed given Froude Number calculator uses Vessel Speed = Froude Number*sqrt([g]*Water Depth) to calculate the Vessel Speed, The Vessel Speed given Froude Number formula is defined as the rate at which a vessel, such as a ship or boat, travels through water, typically measured in knots (nautical miles per hour) or meters per second. Vessel Speed is denoted by V_s symbol.

How to calculate Vessel Speed given Froude Number using this online calculator? To use this online calculator for Vessel Speed given Froude Number, enter Froude Number (Fr) & Water Depth (D) and hit the calculate button. Here is how the Vessel Speed given Froude Number calculation can be explained with given input values -> 108.4803 = 10*sqrt([g]*12).

FAQ

What is Vessel Speed given Froude Number?

The Vessel Speed given Froude Number formula is defined as the rate at which a vessel, such as a ship or boat, travels through water, typically measured in knots (nautical miles per hour) or meters per second and is represented as V_s = Fr*sqrt([g]*D) or Vessel Speed = Froude Number*sqrt([g]*Water Depth). Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders & Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

How to calculate Vessel Speed given Froude Number?

The Vessel Speed given Froude Number formula is defined as the rate at which a vessel, such as a ship or boat, travels through water, typically measured in knots (nautical miles per hour) or meters per second is calculated using Vessel Speed = Froude Number*sqrt([g]*Water Depth). To calculate Vessel Speed given Froude Number, you need Froude Number (Fr) & Water Depth (D). With our tool, you need to enter the respective value for Froude Number & Water Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Vessel Speed?

In this formula, Vessel Speed uses Froude Number & Water Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

Vessel Speed = Individual Wave Celerity/cos(Angle between Sailing Line)
Vessel Speed = Return Flow Velocity/(((Channel Width corresponding to Mean Water Depth*Water Depth)/(Channel Width corresponding to Mean Water Depth*(Water Depth-Water Surface Drawdown)-Vessel’s Midsection Wetted Cross-Sectional Area))-1)

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