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Terminal Velocity given Angular Velocity Formula

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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). Check FAQs

v ter = \frac{m \cdot r m \cdot {(ω)}^{2}}{6 \cdot π \cdot μ \cdot r 0}

v_ter - Terminal Velocity given Angular Velocity?m - Mass of Particle?r_m - Radius of molecule?ω - Angular Velocity?μ - Dynamic Viscosity?r₀ - Radius of Spherical Particle?π - Archimedes' constant?

Terminal Velocity given Angular Velocity Example

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

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

Here is how the Terminal Velocity given Angular Velocity equation looks like.

0.0006 = \frac{1.1 \cdot 2.2 \cdot {(2)}^{2}}{6 \cdot 3.1416 \cdot 80 \cdot 10}

0.0006m/s = \frac{1.1kg \cdot 2.2m \cdot {(2rad/s)}^{2}}{6 \cdot 3.1416 \cdot 80N*s/m² \cdot 10m}

0.0006 = \frac{1.1 \cdot 2.2 \cdot {(2)}^{2}}{6 \cdot 3.1416 \cdot 80 \cdot 10}

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Terminal Velocity given Angular Velocity Solution

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

FIRST Step Consider the formula

v ter = \frac{m \cdot r m \cdot {(ω)}^{2}}{6 \cdot π \cdot μ \cdot r 0}

Next Step Substitute values of Variables

∴

v ter = \frac{1.1kg \cdot 2.2m \cdot {(2rad/s)}^{2}}{6 \cdot π \cdot 80N*s/m² \cdot 10m}

Next Step Substitute values of Constants

∴

v ter = \frac{1.1kg \cdot 2.2m \cdot {(2rad/s)}^{2}}{6 \cdot 3.1416 \cdot 80N*s/m² \cdot 10m}

Next Step Convert Units

∴

v ter = \frac{1.1kg \cdot 2.2m \cdot {(2rad/s)}^{2}}{6 \cdot 3.1416 \cdot 80Pa*s \cdot 10m}

Next Step Prepare to Evaluate

∴

v ter = \frac{1.1 \cdot 2.2 \cdot {(2)}^{2}}{6 \cdot 3.1416 \cdot 80 \cdot 10}

Next Step Evaluate

∴

v ter = 0.000641924937137311m/s

LAST Step Rounding Answer

∴

v ter = 0.0006m/s

Terminal Velocity given Angular Velocity Formula Elements

Variables

Constants

Terminal Velocity given Angular Velocity

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).

Symbol: v_ter

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Terminal Velocity given Angular Velocity

Mass of Particle

Mass of Particle is the quantity of matter in a particle regardless of its volume or of any forces acting on it.

Symbol: m

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Particle

Radius of molecule

Radius of molecule is defined as half of the diameter of that particle.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of molecule

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Dynamic Viscosity

Dynamic Viscosity is the resistance to movement of one layer of a fluid over another.

Symbol: μ

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Radius of Spherical Particle

Radius of Spherical Particle is half of the diameter of that particle.

Symbol: r₀

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Spherical Particle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Average Velocity of Gas category

Go Acentric Factor

ω vp = - \log 10 (Pr saturated) - 1

Go Acentric Factor given Actual and Critical Saturation Vapor Pressure

ω vp = - \log 10 (\frac{P saturated}{Pc saturation}) - 1

Go Average Velocity of Gas given Pressure and Density

v avg_P_D = \sqrt{\frac{8 \cdot P gas}{π \cdot ρ gas}}

Go Average Velocity of Gas given Pressure and Density in 2D

v avg_P_D = \sqrt{\frac{π \cdot P gas}{2 \cdot ρ gas}}

How to Evaluate Terminal Velocity given Angular Velocity?

Terminal Velocity given Angular Velocity evaluator uses Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle) to evaluate 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 evaluate Terminal Velocity given Angular Velocity using this online evaluator? To use this online evaluator 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.

FAQs on Terminal Velocity given Angular Velocity

What is the formula to find Terminal Velocity given Angular Velocity?

The formula of Terminal Velocity given Angular Velocity is expressed as Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle). Here is an example- 0.000642 = (1.1*2.2*(2)^2)/(6*pi*80*10).

How to calculate Terminal Velocity given Angular Velocity?

With Mass of Particle (m), Radius of molecule (r_m), Angular Velocity (ω), Dynamic Viscosity (μ) & Radius of Spherical Particle (r₀) we can find Terminal Velocity given Angular Velocity using the formula - Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle). This formula also uses Archimedes' constant .

Can the Terminal Velocity given Angular Velocity be negative?

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

Which unit is used to measure Terminal Velocity given Angular Velocity?

Terminal Velocity given Angular 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 Velocity given Angular Velocity can be measured.

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Terminal Velocity given Angular Velocity Formula

Terminal Velocity given Angular Velocity Example

Terminal Velocity given Angular Velocity Solution

Terminal Velocity given Angular Velocity Formula Elements

Other formulas in Average Velocity of Gas category

How to Evaluate Terminal Velocity given Angular Velocity?

FAQs on Terminal Velocity given Angular Velocity

Variable Name