Terminal Velocity Calculator

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖Density of the first phase in a two phase microstructure.ⓘ Density of the first phase [𝜌₁]			+10% -10%
✖Density of the second phase in a two phase microstructure.ⓘ Density of the second phase [ρ₂]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+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 Velocity [V_terminal]

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Formula

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Terminal Velocity

Formula

`"V"_{"terminal"} = 2/9*"r"^2*("𝜌"_{"1"}-"ρ"_{"2"})*"g"/"μ"_{"viscosity"}`

Example

`"213.5076m/s"=2/9*("0.2m")^2*("8.5g/cm³"-"6g/cm³")*"9.8m/s²"/"10.2P"`

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Terminal Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Terminal Velocity = 2/9*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration due to Gravity/Dynamic Viscosity
V_terminal = 2/9*r^2*(𝜌₁-ρ₂)*g/μ_viscosity
This formula uses 6 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).
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Density of the first phase - (Measured in Kilogram per Cubic Meter) - Density of the first phase in a two phase microstructure.
Density of the second phase - (Measured in Kilogram per Cubic Meter) - Density of the second phase in a two phase microstructure.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

STEP 1: Convert Input(s) to Base Unit

Radius: 0.2 Meter --> 0.2 Meter No Conversion Required
Density of the first phase: 8.5 Gram per Cubic Centimeter --> 8500 Kilogram per Cubic Meter (Check conversion here)
Density of the second phase: 6 Gram per Cubic Centimeter --> 6000 Kilogram per Cubic Meter (Check conversion here)
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_terminal = 2/9*r^2*(𝜌₁-ρ₂)*g/μ_viscosity --> 2/9*0.2^2*(8500-6000)*9.8/1.02

Evaluating ... ...

V_terminal = 213.507625272331

STEP 3: Convert Result to Output's Unit

213.507625272331 Meter per Second --> No Conversion Required

FINAL ANSWER

213.507625272331 ≈ 213.5076 Meter per Second <-- Terminal Velocity

(Calculation completed in 00.004 seconds)

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Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

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< 10+ Turbine Calculators

Total Discharge for Whole Notch or Weir

Go Total discharge = 2/3*Coefficient of Discharge*Length of Notch or Weir*sqrt(2*Acceleration due to Gravity)*Head of Water Over the Crest^(3/2)

Terminal Velocity

Go Terminal Velocity = 2/9*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration due to Gravity/Dynamic Viscosity

Time Period of Rolling

Go Time Period of Rolling = 2*pi*sqrt((Radius of Gyration^(2))/(Acceleration due to Gravity*Metacentric Height))

Time to Reach Highest Point

Go Time to Reach Highest Point = Initial Velocity of Liquid Jet*sin(Angle of Liquid Jet)/Acceleration due to Gravity

Hydraulic Transmission of Power

Go Power = Specific Weight of Liquid*Rate of Flow*(Total Head at Entrance-Head Loss)

Efficiency of Transmission

Go Efficiency = (Total Head at Entrance-Head Loss)/Total Head at Entrance

Elastic Potential Energy of Spring

Go Potential energy of spring in joules = 1/2*Stiffness of Spring*Spring Stretch Length in Meters^2

Circumferential Area of Runner

Go Circumferencial Area = pi*(Inlet Diameter^2-Boss Diameter^2)/4

Rotational Speed of Shaft

Go Velocity of Shaft = (pi*Diameter of Shaft*Speed of Shaft)

Hydraulic Energy Line

Go Hydraulic energy line = Pressure Head+Datum Head

Terminal Velocity Formula

Terminal Velocity = 2/9*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration due to Gravity/Dynamic Viscosity
V_terminal = 2/9*r^2*(𝜌₁-ρ₂)*g/μ_viscosity

When does Terminal Velocity occur?

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

How to Calculate Terminal Velocity?

Terminal Velocity calculator uses Terminal Velocity = 2/9*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration due to Gravity/Dynamic Viscosity to calculate the Terminal Velocity, Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). Terminal Velocity is denoted by V_terminal symbol.

How to calculate Terminal Velocity using this online calculator? To use this online calculator for Terminal Velocity, enter Radius (r), Density of the first phase (𝜌₁), Density of the second phase (ρ₂), Acceleration due to Gravity (g) & Dynamic Viscosity (μ_viscosity) and hit the calculate button. Here is how the Terminal Velocity calculation can be explained with given input values -> 213.5076 = 2/9*0.2^2*(8500-6000)*9.8/1.02.

FAQ

What is Terminal Velocity?

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example) and is represented as V_terminal = 2/9*r^2*(𝜌₁-ρ₂)*g/μ_viscosity or Terminal Velocity = 2/9*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration due to Gravity/Dynamic Viscosity. Radius is a radial line from the focus to any point of a curve, Density of the first phase in a two phase microstructure, Density of the second phase in a two phase microstructure, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

How to calculate Terminal Velocity?

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example) is calculated using Terminal Velocity = 2/9*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration due to Gravity/Dynamic Viscosity. To calculate Terminal Velocity, you need Radius (r), Density of the first phase (𝜌₁), Density of the second phase (ρ₂), Acceleration due to Gravity (g) & Dynamic Viscosity (μ_viscosity). With our tool, you need to enter the respective value for Radius, Density of the first phase, Density of the second phase, Acceleration due to Gravity & Dynamic Viscosity 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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