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Terminal Fall Velocity Formula

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Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). Check FAQs

V terminal = (\frac{{D S}^{2}}{18 \cdot μ}) \cdot (γ f - S)

V_terminal - Terminal Velocity?D_S - Diameter of Sphere?μ - Dynamic Viscosity?γ_f - Specific Weight of Liquid?S - Specific Weight of Liquid in Piezometer?

Terminal Fall Velocity Example

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Here is how the Terminal Fall Velocity equation looks like with Values.

Here is how the Terminal Fall Velocity equation looks like with Units.

Here is how the Terminal Fall Velocity equation looks like.

49.3464 = (\frac{10^{2}}{18 \cdot 10.2}) \cdot (9.81 - 0.75)

49.3464m/s = (\frac{{10m}^{2}}{18 \cdot 10.2P}) \cdot (9.81kN/m³ - 0.75kN/m³)

49.3464 = (\frac{10^{2}}{18 \cdot 10.2}) \cdot (9.81 - 0.75)

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Terminal Fall Velocity Solution

Follow our step by step solution on how to calculate Terminal Fall Velocity?

FIRST Step Consider the formula

V terminal = (\frac{{D S}^{2}}{18 \cdot μ}) \cdot (γ f - S)

Next Step Substitute values of Variables

∴

V terminal = (\frac{{10m}^{2}}{18 \cdot 10.2P}) \cdot (9.81kN/m³ - 0.75kN/m³)

Next Step Convert Units

∴

V terminal = (\frac{{10m}^{2}}{18 \cdot 1.02Pa*s}) \cdot (9.81kN/m³ - 0.75kN/m³)

Next Step Prepare to Evaluate

∴

V terminal = (\frac{10^{2}}{18 \cdot 1.02}) \cdot (9.81 - 0.75)

Next Step Evaluate

∴

V terminal = 49.3464052287582m/s

LAST Step Rounding Answer

∴

V terminal = 49.3464m/s

Terminal Fall Velocity Formula Elements

Variables

Terminal Velocity

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example).

Symbol: V_terminal

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Terminal Velocity

Diameter of Sphere

The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.

Symbol: D_S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Sphere

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Specific Weight of Liquid in Piezometer

Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.

Symbol: S

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid in Piezometer

Other formulas in Laminar Flow around a Sphere Stokes’ Law category

Go Resistance Force on Spherical Surface

F resistance = 3 \cdot π \cdot μ \cdot V mean \cdot D S

Go Diameter of Sphere given Resistance Force on Spherical Surface

D S = \frac{F resistance}{3 \cdot π \cdot μ \cdot V mean}

Go Velocity of Sphere given Resistance Force on Spherical Surface

V mean = \frac{F resistance}{3 \cdot π \cdot μ \cdot D S}

Go Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

μ = \frac{F resistance}{3 \cdot π \cdot D S \cdot V mean}

How to Evaluate Terminal Fall Velocity?

Terminal Fall Velocity evaluator uses Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer) to evaluate the Terminal Velocity, The Terminal Fall Velocity formula is defined as the velocity with which object is moving in the fluid in the channel. Terminal Velocity is denoted by V_terminal symbol.

How to evaluate Terminal Fall Velocity using this online evaluator? To use this online evaluator for Terminal Fall Velocity, enter Diameter of Sphere (D_S), Dynamic Viscosity (μ), Specific Weight of Liquid (γ_f) & Specific Weight of Liquid in Piezometer (S) and hit the calculate button.

FAQs on Terminal Fall Velocity

What is the formula to find Terminal Fall Velocity?

The formula of Terminal Fall Velocity is expressed as Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer). Here is an example- 49.34641 = ((10^2)/(18*1.02))*(9810-750).

How to calculate Terminal Fall Velocity?

With Diameter of Sphere (D_S), Dynamic Viscosity (μ), Specific Weight of Liquid (γ_f) & Specific Weight of Liquid in Piezometer (S) we can find Terminal Fall Velocity using the formula - Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer).

Can the Terminal Fall Velocity be negative?

Yes, the Terminal Fall Velocity, measured in Speed can be negative.

Which unit is used to measure Terminal Fall Velocity?

Terminal Fall Velocity 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 Terminal Fall Velocity can be measured.

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Terminal Fall Velocity Formula

Terminal Fall Velocity Example

Terminal Fall Velocity Solution

Terminal Fall Velocity Formula Elements

Other formulas in Laminar Flow around a Sphere Stokes’ Law category

How to Evaluate Terminal Fall Velocity?

FAQs on Terminal Fall Velocity

Variable Name