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Water Depth given Froude Number Formula

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

D = \frac{{(\frac{V s}{Fr})}^{2}}{[g]}

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

Water Depth given Froude Number Example

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Here is how the Water Depth given Froude Number equation looks like with Values.

Here is how the Water Depth given Froude Number equation looks like with Units.

Here is how the Water Depth given Froude Number equation looks like.

10.1972 = \frac{{(\frac{100}{10})}^{2}}{9.8066}

10.1972m = \frac{{(\frac{100m/s}{10})}^{2}}{9.8066m/s²}

10.1972 = \frac{{(\frac{100}{10})}^{2}}{9.8066}

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Water Depth given Froude Number Solution

Follow our step by step solution on how to calculate Water Depth given Froude Number?

FIRST Step Consider the formula

D = \frac{{(\frac{V s}{Fr})}^{2}}{[g]}

Next Step Substitute values of Variables

∴

D = \frac{{(\frac{100m/s}{10})}^{2}}{[g]}

Next Step Substitute values of Constants

∴

D = \frac{{(\frac{100m/s}{10})}^{2}}{9.8066m/s²}

Next Step Prepare to Evaluate

∴

D = \frac{{(\frac{100}{10})}^{2}}{9.8066}

Next Step Evaluate

∴

D = 10.1971621297793m

LAST Step Rounding Answer

∴

D = 10.1972m

Water Depth given Froude Number Formula Elements

Variables

Constants

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

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

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

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 Water Depth given Froude Number?

Water Depth given Froude Number evaluator uses Water Depth = ((Vessel Speed/Froude Number)^2)/[g] to evaluate 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 evaluate Water Depth given Froude Number using this online evaluator? To use this online evaluator for Water Depth given Froude Number, enter Vessel Speed (V_s) & Froude Number (Fr) and hit the calculate button.

FAQs on Water Depth given Froude Number

What is the formula to find Water Depth given Froude Number?

The formula of Water Depth given Froude Number is expressed as Water Depth = ((Vessel Speed/Froude Number)^2)/[g]. Here is an example- 10.19716 = ((100/10)^2)/[g].

How to calculate Water Depth given Froude Number?

With Vessel Speed (V_s) & Froude Number (Fr) we can find Water Depth given Froude Number using the formula - Water Depth = ((Vessel Speed/Froude Number)^2)/[g]. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Water Depth given Froude Number be negative?

No, the Water Depth given Froude Number, measured in Length cannot be negative.

Which unit is used to measure Water Depth given Froude Number?

Water Depth given Froude Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Water Depth given Froude Number can be measured.

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