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Dimensionless Time Formula

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Dimensionless Time refers to a normalized time scale used to analyze various processes and phenomena without consideration of specific units or scales. Check FAQs

t' = \frac{[g] \cdot t d}{V f}

t' - Dimensionless Time?t_d - Time for Dimensionless Parameter Calculation?V_f - Friction Velocity?[g] - Gravitational acceleration on Earth?

Dimensionless Time Example

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Here is how the Dimensionless Time equation looks like with Values.

Here is how the Dimensionless Time equation looks like with Units.

Here is how the Dimensionless Time equation looks like.

111.142 = \frac{9.8066 \cdot 68}{6}

111.142 = \frac{9.8066m/s² \cdot 68s}{6m/s}

111.142 = \frac{9.8066 \cdot 68}{6}

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Dimensionless Time Solution

Follow our step by step solution on how to calculate Dimensionless Time?

FIRST Step Consider the formula

t' = \frac{[g] \cdot t d}{V f}

Next Step Substitute values of Variables

∴

t' = \frac{[g] \cdot 68s}{6m/s}

Next Step Substitute values of Constants

∴

t' = \frac{9.8066m/s² \cdot 68s}{6m/s}

Next Step Prepare to Evaluate

∴

t' = \frac{9.8066 \cdot 68}{6}

Next Step Evaluate

∴

t' = 111.142033333333

LAST Step Rounding Answer

∴

t' = 111.142

Dimensionless Time Formula Elements

Variables

Constants

Dimensionless Time

Dimensionless Time refers to a normalized time scale used to analyze various processes and phenomena without consideration of specific units or scales.

Symbol: t'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dimensionless Time

Time for Dimensionless Parameter Calculation

Time for Dimensionless Parameter Calculation is the time recorded in seconds for dimensionless parameter calculation.

Symbol: t_d

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time for Dimensionless Parameter Calculation

Friction Velocity

Friction Velocity is a measure of the shear stress exerted by the flow of water against the bed or surface of a channel or structure.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Friction Velocity

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 Parametric Spectrum Models category

Go Phillip's Equilibrium Range of Spectrum for Fully Developed Sea in Deep Water

E ω = b \cdot {[g]}^{2} \cdot ω^{- 5}

Go JONSWAP Spectrum for Fetch-limited Seas

E f = (\frac{α \cdot {[g]}^{2}}{{(2 \cdot π)}^{4} \cdot f^{5}}) \cdot {(\exp (- 1.25 \cdot {(\frac{f}{f p})}^{- 4}) \cdot γ)}^{\exp (- \frac{{((\frac{f}{f p}) - 1)}^{2}}{2 \cdot σ^{2}})}

Go Frequency at Spectral Peak

f p = 3.5 \cdot {(\frac{{[g]}^{2} \cdot F l}{{V 10}^{3}})}^{- 0.33}

Go Fetch Length given Frequency at Spectral Peak

F l = \frac{({V 10}^{3}) \cdot ({(\frac{f p}{3.5})}^{- (\frac{1}{0.33})})}{{[g]}^{2}}

How to Evaluate Dimensionless Time?

Dimensionless Time evaluator uses Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity to evaluate the Dimensionless Time, The Dimensionless Time formula is defined as the basic tenet of the empirical prediction method and interrelationship with other wave parameters governed by Universal Laws. Dimensionless Time is denoted by t' symbol.

How to evaluate Dimensionless Time using this online evaluator? To use this online evaluator for Dimensionless Time, enter Time for Dimensionless Parameter Calculation (t_d) & Friction Velocity (V_f) and hit the calculate button.

FAQs on Dimensionless Time

What is the formula to find Dimensionless Time?

The formula of Dimensionless Time is expressed as Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity. Here is an example- 111.142 = ([g]*68)/6.

How to calculate Dimensionless Time?

With Time for Dimensionless Parameter Calculation (t_d) & Friction Velocity (V_f) we can find Dimensionless Time using the formula - Dimensionless Time = ([g]*Time for Dimensionless Parameter Calculation)/Friction Velocity. This formula also uses Gravitational acceleration on Earth constant(s).

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