Terminal Fall Velocity Calculator

✖The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.ⓘ Diameter of Sphere [D_S]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.ⓘ Specific Weight of Liquid in Piezometer [S]			+10% -10%

✖Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example).ⓘ Terminal Fall Velocity [V_terminal]

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Terminal Fall Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
V_terminal = ((D_S^2)/(18*μ))*(γ_f-S)
This formula uses 5 Variables

Variables Used

Terminal Velocity - (Measured in Meter per Second) - Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example).
Diameter of Sphere - (Measured in Meter) - The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Specific Weight of Liquid in Piezometer - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.

STEP 1: Convert Input(s) to Base Unit

Diameter of Sphere: 10 Meter --> 10 Meter No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Specific Weight of Liquid in Piezometer: 0.75 Kilonewton per Cubic Meter --> 0.75 Kilonewton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_terminal = ((D_S^2)/(18*μ))*(γ_f-S) --> ((10^2)/(18*1.02))*(9.81-0.75)

Evaluating ... ...

V_terminal = 49.3464052287582

STEP 3: Convert Result to Output's Unit

49.3464052287582 Meter per Second --> No Conversion Required

FINAL ANSWER

49.3464052287582 ≈ 49.34641 Meter per Second <-- Terminal Velocity

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< Laminar Flow around a Sphere Stokes’ Law Calculators

Dynamic Viscosity of fluid given Resistance Force on Spherical Surface

LaTeX Go Dynamic Viscosity = Resistance Force/(3*pi*Diameter of Sphere*Mean Velocity)

Diameter of Sphere given Resistance Force on Spherical Surface

LaTeX Go Diameter of Sphere = Resistance Force/(3*pi*Dynamic Viscosity*Mean Velocity)

Velocity of Sphere given Resistance Force on Spherical Surface

LaTeX Go Mean Velocity = Resistance Force/(3*pi*Dynamic Viscosity*Diameter of Sphere)

Resistance Force on Spherical Surface

LaTeX Go Resistance Force = 3*pi*Dynamic Viscosity*Mean Velocity*Diameter of Sphere

Terminal Fall Velocity Formula

LaTeX Go

Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer)
V_terminal = ((D_S^2)/(18*μ))*(γ_f-S)

What is Terminal Fall Velocity?

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object. Since the net force on the object is zero, the object has zero acceleration.

How to Calculate Terminal Fall Velocity?

Terminal Fall Velocity calculator uses Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer) to calculate 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 calculate Terminal Fall Velocity using this online calculator? To use this online calculator 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. Here is how the Terminal Fall Velocity calculation can be explained with given input values -> 49.34641 = ((10^2)/(18*1.02))*(9810-750).

FAQ

What is Terminal Fall Velocity?

The Terminal Fall Velocity formula is defined as the velocity with which object is moving in the fluid in the channel and is represented as V_terminal = ((D_S^2)/(18*μ))*(γ_f-S) or Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer). The Diameter of Sphere refers to the longest line that is inside the sphere and that passes through the center of the sphere, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Specific Weight of Liquid refers to the weight per unit volume of that substance & Specific Weight of Liquid in Piezometer is the ratio of a body’s weight P to its volume V.

How to calculate Terminal Fall Velocity?

The Terminal Fall Velocity formula is defined as the velocity with which object is moving in the fluid in the channel is calculated using Terminal Velocity = ((Diameter of Sphere^2)/(18*Dynamic Viscosity))*(Specific Weight of Liquid-Specific Weight of Liquid in Piezometer). To calculate Terminal Fall Velocity, you need Diameter of Sphere (D_S), Dynamic Viscosity (μ), Specific Weight of Liquid (γ_f) & Specific Weight of Liquid in Piezometer (S). With our tool, you need to enter the respective value for Diameter of Sphere, Dynamic Viscosity, Specific Weight of Liquid & Specific Weight of Liquid in Piezometer and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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