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Dimensionless Wave Speed Formula

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Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time. Check FAQs

v = \frac{v p'}{\sqrt{[g] \cdot d}}

v - Wave Speed?v_p' - Propagation Velocity?d - Coastal Mean Depth?[g] - Gravitational acceleration on Earth?

Dimensionless Wave Speed Example

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Here is how the Dimensionless Wave Speed equation looks like with Values.

Here is how the Dimensionless Wave Speed equation looks like with Units.

Here is how the Dimensionless Wave Speed equation looks like.

50.0058 = \frac{495.2}{\sqrt{9.8066 \cdot 10}}

50.0058m/s = \frac{495.2m/s}{\sqrt{9.8066m/s² \cdot 10m}}

50.0058 = \frac{495.2}{\sqrt{9.8066 \cdot 10}}

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Dimensionless Wave Speed Solution

Follow our step by step solution on how to calculate Dimensionless Wave Speed?

FIRST Step Consider the formula

v = \frac{v p'}{\sqrt{[g] \cdot d}}

Next Step Substitute values of Variables

∴

v = \frac{495.2m/s}{\sqrt{[g] \cdot 10m}}

Next Step Substitute values of Constants

∴

v = \frac{495.2m/s}{\sqrt{9.8066m/s² \cdot 10m}}

Next Step Prepare to Evaluate

∴

v = \frac{495.2}{\sqrt{9.8066 \cdot 10}}

Next Step Evaluate

∴

v = 50.0057906330592m/s

LAST Step Rounding Answer

∴

v = 50.0058m/s

Dimensionless Wave Speed Formula Elements

Variables

Constants

Functions

Wave Speed

Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Wave Speed

Propagation Velocity

Propagation Velocity refers to the speed at which waves or other disturbances propagate through water.

Symbol: v_p'

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Propagation Velocity

Coastal Mean Depth

Coastal Mean Depth of a fluid flow is a measure of the average depth of the fluid in a channel, pipe, or other conduit through which the fluid is flowing.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Coastal Mean 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 in Linear Dispersion Relation of Linear Wave category

Go Velocity of Propagation in Linear Dispersion Relation

C v = \sqrt{\frac{[g] \cdot d \cdot \tanh (k \cdot d)}{k \cdot d}}

Go Wavelength given Wave Number

λ'' = \frac{2 \cdot π}{k}

Go Relative Wavelength

λ r = \frac{λ o}{d}

Go Velocity of Propagation in Linear Dispersion Relation given Wavelength

C v = \sqrt{\frac{[g] \cdot d \cdot \tanh (2 \cdot π \cdot \frac{d}{λ''})}{2 \cdot π \cdot \frac{d}{λ''}}}

How to Evaluate Dimensionless Wave Speed?

Dimensionless Wave Speed evaluator uses Wave Speed = Propagation Velocity/sqrt([g]*Coastal Mean Depth) to evaluate the Wave Speed, The Dimensionless Wave Speed is defined as how fast the wave travels and is determined by the properties of the medium in which the wave is moving. Wave Speed is denoted by v symbol.

How to evaluate Dimensionless Wave Speed using this online evaluator? To use this online evaluator for Dimensionless Wave Speed, enter Propagation Velocity (v_p') & Coastal Mean Depth (d) and hit the calculate button.

FAQs on Dimensionless Wave Speed

What is the formula to find Dimensionless Wave Speed?

The formula of Dimensionless Wave Speed is expressed as Wave Speed = Propagation Velocity/sqrt([g]*Coastal Mean Depth). Here is an example- 50.00579 = 495.2/sqrt([g]*10).

How to calculate Dimensionless Wave Speed?

With Propagation Velocity (v_p') & Coastal Mean Depth (d) we can find Dimensionless Wave Speed using the formula - Wave Speed = Propagation Velocity/sqrt([g]*Coastal Mean Depth). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

Can the Dimensionless Wave Speed be negative?

Yes, the Dimensionless Wave Speed, measured in Speed can be negative.

Which unit is used to measure Dimensionless Wave Speed?

Dimensionless Wave Speed 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 Dimensionless Wave Speed can be measured.

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