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Rotational Frequency given Velocity of Particle 1 Formula

GoRotational Frequency given Velocity of Particle 2 Formula

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Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation. Check FAQs

ν rot = \frac{v 1}{2 \cdot π \cdot R 1}

ν_rot - Rotational Frequency?v₁ - Velocity of Particle with Mass m1?R₁ - Radius of Mass 1?π - Archimedes' constant?

Rotational Frequency given Velocity of Particle 1 Example

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Here is how the Rotational Frequency given Velocity of Particle 1 equation looks like with Values.

Here is how the Rotational Frequency given Velocity of Particle 1 equation looks like with Units.

Here is how the Rotational Frequency given Velocity of Particle 1 equation looks like.

16.9765 = \frac{1.6}{2 \cdot 3.1416 \cdot 1.5}

16.9765Hz = \frac{1.6m/s}{2 \cdot 3.1416 \cdot 1.5cm}

16.9765 = \frac{1.6}{2 \cdot 3.1416 \cdot 1.5}

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Rotational Frequency given Velocity of Particle 1 Solution

Follow our step by step solution on how to calculate Rotational Frequency given Velocity of Particle 1?

FIRST Step Consider the formula

ν rot = \frac{v 1}{2 \cdot π \cdot R 1}

Next Step Substitute values of Variables

∴

ν rot = \frac{1.6m/s}{2 \cdot π \cdot 1.5cm}

Next Step Substitute values of Constants

∴

ν rot = \frac{1.6m/s}{2 \cdot 3.1416 \cdot 1.5cm}

Next Step Convert Units

∴

ν rot = \frac{1.6m/s}{2 \cdot 3.1416 \cdot 0.015m}

Next Step Prepare to Evaluate

∴

ν rot = \frac{1.6}{2 \cdot 3.1416 \cdot 0.015}

Next Step Evaluate

∴

ν rot = 16.9765272631355Hz

LAST Step Rounding Answer

∴

ν rot = 16.9765Hz

Rotational Frequency given Velocity of Particle 1 Formula Elements

Variables

Constants

Rotational Frequency

Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.

Symbol: ν_rot

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Rotational Frequency

Velocity of Particle with Mass m1

Velocity of particle with mass m1 is the rate at which particle (of mass m1) moves.

Symbol: v₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Particle with Mass m1

Radius of Mass 1

Radius of mass 1 is a distance of mass 1 from the center of mass.

Symbol: R₁

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Radius of Mass 1

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 to find Rotational Frequency

Go Rotational Frequency given Velocity of Particle 2

ν rot = \frac{v 2}{2 \cdot π \cdot R 2}

Other formulas in Angular Momentum and Velocity of Diatomic Molecule category

Go Angular Momentum given Kinetic Energy

Lm1 = \sqrt{2 \cdot I \cdot KE}

Go Angular Momentum given Moment of Inertia

L1 = I \cdot ω

Go Angular Velocity given Inertia and Kinetic Energy

ω2 = \sqrt{2 \cdot \frac{KE}{I}}

Go Angular Velocity of Diatomic Molecule

ω3 = 2 \cdot π \cdot ν rot

How to Evaluate Rotational Frequency given Velocity of Particle 1?

Rotational Frequency given Velocity of Particle 1 evaluator uses Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1) to evaluate the Rotational Frequency, The Rotational Frequency given Velocity of Particle 1 is defined to relate frequency of rotation with velocity and radius. The linear velocity is the radius times the angular velocity and further the relation of angular velocity with frequency (angular velocity = 2*pi* frequency). So by these equations, Rotational frequency is velocity divided by (2 * pi times radius). Rotational Frequency is denoted by ν_rot symbol.

How to evaluate Rotational Frequency given Velocity of Particle 1 using this online evaluator? To use this online evaluator for Rotational Frequency given Velocity of Particle 1, enter Velocity of Particle with Mass m1 (v₁) & Radius of Mass 1 (R₁) and hit the calculate button.

FAQs on Rotational Frequency given Velocity of Particle 1

What is the formula to find Rotational Frequency given Velocity of Particle 1?

The formula of Rotational Frequency given Velocity of Particle 1 is expressed as Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1). Here is an example- 16.97653 = 1.6/(2*pi*0.015).

How to calculate Rotational Frequency given Velocity of Particle 1?

With Velocity of Particle with Mass m1 (v₁) & Radius of Mass 1 (R₁) we can find Rotational Frequency given Velocity of Particle 1 using the formula - Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1). This formula also uses Archimedes' constant .

What are the other ways to Calculate Rotational Frequency?

Here are the different ways to Calculate Rotational Frequency-

Rotational Frequency=Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2)

Can the Rotational Frequency given Velocity of Particle 1 be negative?

No, the Rotational Frequency given Velocity of Particle 1, measured in Frequency cannot be negative.

Which unit is used to measure Rotational Frequency given Velocity of Particle 1?

Rotational Frequency given Velocity of Particle 1 is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Rotational Frequency given Velocity of Particle 1 can be measured.

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