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Terminal Velocity given Angular Velocity Calculator

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✖Mass of Particle is the quantity of matter in a particle regardless of its volume or of any forces acting on it.ⓘ Mass of Particle [m]			+10% -10%
✖Radius of molecule is defined as half of the diameter of that particle.ⓘ Radius of molecule [r_m]			+10% -10%
✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖Dynamic Viscosity is the resistance to movement of one layer of a fluid over another.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Radius of Spherical Particle is half of the diameter of that particle.ⓘ Radius of Spherical Particle [r₀]			+10% -10%

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

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Terminal Velocity given Angular Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle)
v_ter = (m*r_m*(ω)^2)/(6*pi*μ*r₀)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Terminal Velocity given Angular Velocity - (Measured in Meter per Second) - Terminal Velocity given Angular Velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example).
Mass of Particle - (Measured in Kilogram) - Mass of Particle is the quantity of matter in a particle regardless of its volume or of any forces acting on it.
Radius of molecule - (Measured in Meter) - Radius of molecule is defined as half of the diameter of that particle.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Dynamic Viscosity - (Measured in Pascal Second) - Dynamic Viscosity is the resistance to movement of one layer of a fluid over another.
Radius of Spherical Particle - (Measured in Meter) - Radius of Spherical Particle is half of the diameter of that particle.

STEP 1: Convert Input(s) to Base Unit

Mass of Particle: 1.1 Kilogram --> 1.1 Kilogram No Conversion Required
Radius of molecule: 2.2 Meter --> 2.2 Meter No Conversion Required
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Dynamic Viscosity: 80 Newton Second per Square Meter --> 80 Pascal Second (Check conversion here)
Radius of Spherical Particle: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_ter = (m*r_m*(ω)^2)/(6*pi*μ*r₀) --> (1.1*2.2*(2)^2)/(6*pi*80*10)

Evaluating ... ...

v_ter = 0.000641924937137311

STEP 3: Convert Result to Output's Unit

0.000641924937137311 Meter per Second --> No Conversion Required

FINAL ANSWER

0.000641924937137311 ≈ 0.000642 Meter per Second <-- Terminal Velocity given Angular Velocity

(Calculation completed in 00.004 seconds)

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Terminal Velocity given Angular Velocity Formula

LaTeX Go

Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle)
v_ter = (m*r_m*(ω)^2)/(6*pi*μ*r₀)

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How to Calculate Terminal Velocity given Angular Velocity?

Terminal Velocity given Angular Velocity calculator uses Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle) to calculate the Terminal Velocity given Angular Velocity, The Terminal Velocity given Angular Velocity formula is defined as the limiting uniform velocity attained by a falling body when the resistance of the air has become equal to the force of gravity. Terminal Velocity given Angular Velocity is denoted by v_ter symbol.

How to calculate Terminal Velocity given Angular Velocity using this online calculator? To use this online calculator for Terminal Velocity given Angular Velocity, enter Mass of Particle (m), Radius of molecule (r_m), Angular Velocity (ω), Dynamic Viscosity (μ) & Radius of Spherical Particle (r₀) and hit the calculate button. Here is how the Terminal Velocity given Angular Velocity calculation can be explained with given input values -> 0.000642 = (1.1*2.2*(2)^2)/(6*pi*80*10).

FAQ

What is Terminal Velocity given Angular Velocity?

The Terminal Velocity given Angular Velocity formula is defined as the limiting uniform velocity attained by a falling body when the resistance of the air has become equal to the force of gravity and is represented as v_ter = (m*r_m*(ω)^2)/(6*pi*μ*r₀) or Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle). Mass of Particle is the quantity of matter in a particle regardless of its volume or of any forces acting on it, Radius of molecule is defined as half of the diameter of that particle, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time, Dynamic Viscosity is the resistance to movement of one layer of a fluid over another & Radius of Spherical Particle is half of the diameter of that particle.

How to calculate Terminal Velocity given Angular Velocity?

The Terminal Velocity given Angular Velocity formula is defined as the limiting uniform velocity attained by a falling body when the resistance of the air has become equal to the force of gravity is calculated using Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle). To calculate Terminal Velocity given Angular Velocity, you need Mass of Particle (m), Radius of molecule (r_m), Angular Velocity (ω), Dynamic Viscosity (μ) & Radius of Spherical Particle (r₀). With our tool, you need to enter the respective value for Mass of Particle, Radius of molecule, Angular Velocity, Dynamic Viscosity & Radius of Spherical Particle 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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