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Vessel Speed given Froude Number Formula

GoVessel Speed given Individual Wave Celerity created by Moving Vessel Formula

GoVessel Speed given Return Flow Velocity Formula

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Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water. Check FAQs

V s = Fr \cdot \sqrt{[g] \cdot D}

V_s - Vessel Speed?Fr - Froude Number?D - Water Depth?[g] - Gravitational acceleration on Earth?

Vessel Speed given Froude Number Example

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With units

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Here is how the Vessel Speed given Froude Number equation looks like with Values.

Here is how the Vessel Speed given Froude Number equation looks like with Units.

Here is how the Vessel Speed given Froude Number equation looks like.

108.4803 = 10 \cdot \sqrt{9.8066 \cdot 12}

108.4803m/s = 10 \cdot \sqrt{9.8066m/s² \cdot 12m}

108.4803 = 10 \cdot \sqrt{9.8066 \cdot 12}

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Vessel Speed given Froude Number Solution

Follow our step by step solution on how to calculate Vessel Speed given Froude Number?

FIRST Step Consider the formula

V s = Fr \cdot \sqrt{[g] \cdot D}

Next Step Substitute values of Variables

∴

V s = 10 \cdot \sqrt{[g] \cdot 12m}

Next Step Substitute values of Constants

∴

V s = 10 \cdot \sqrt{9.8066m/s² \cdot 12m}

Next Step Prepare to Evaluate

∴

V s = 10 \cdot \sqrt{9.8066 \cdot 12}

Next Step Evaluate

∴

V s = 108.480320795986m/s

LAST Step Rounding Answer

∴

V s = 108.4803m/s

Vessel Speed given Froude Number Formula Elements

Variables

Constants

Functions

Vessel Speed

Vessel Speed referred to as ship speed or boat speed, is the rate at which a vessel travels through the water.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Vessel Speed

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.

Symbol: Fr

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Froude Number

Water Depth

Water Depth is the vertical distance from the surface of a water body (such as an ocean, sea, or lake) to the bottom.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Water Depth

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other Formulas to find Vessel Speed

Go Vessel Speed given Individual Wave Celerity created by Moving Vessel

V s = \frac{C}{\cos (θ)}

Go Vessel Speed given Return Flow Velocity

V s = \frac{V r}{(\frac{W \cdot D}{W \cdot (D - Δd) - A m}) - 1}

Other formulas in Flushing or Circulation Processes and Vessel Interactions category

Go Average per Cycle Exchange Coefficient

E = 1 - \frac{{(\frac{C i}{C o})}^{1}}{i}

Go Initial Concentration of Substance in Harbor Water

C o = \frac{C i}{{(1 - E)}^{i}}

Go Concentration of Substance after i Tidal Cycles

C i = C o \cdot {(1 - E)}^{i}

Go Individual Wave Celerity created by Moving Vessel

C = V s \cdot \cos (θ)

How to Evaluate Vessel Speed given Froude Number?

Vessel Speed given Froude Number evaluator uses Vessel Speed = Froude Number*sqrt([g]*Water Depth) to evaluate 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 evaluate Vessel Speed given Froude Number using this online evaluator? To use this online evaluator for Vessel Speed given Froude Number, enter Froude Number (Fr) & Water Depth (D) and hit the calculate button.

FAQs on Vessel Speed given Froude Number

What is the formula to find Vessel Speed given Froude Number?

The formula of Vessel Speed given Froude Number is expressed as Vessel Speed = Froude Number*sqrt([g]*Water Depth). Here is an example- 108.4803 = 10*sqrt([g]*12).

How to calculate Vessel Speed given Froude Number?

With Froude Number (Fr) & Water Depth (D) we can find Vessel Speed given Froude Number using the formula - Vessel Speed = Froude Number*sqrt([g]*Water Depth). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Vessel Speed?

Here are the different ways to Calculate Vessel Speed-

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)

Can the Vessel Speed given Froude Number be negative?

Yes, the Vessel Speed given Froude Number, measured in Speed can be negative.

Which unit is used to measure Vessel Speed given Froude Number?

Vessel Speed given Froude Number is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Vessel Speed given Froude Number can be measured.

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