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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
νrot=v22πR2
νrot - Rotational Frequency?v2 - Velocity of Particle with Mass m2?R2 - Radius of Mass 2?π - Archimedes' constant?

Rotational Frequency given Velocity of Particle 2 Example

With values
With units
Only example

Here is how the Rotational Frequency given Velocity of Particle 2 equation looks like with Values.

Here is how the Rotational Frequency given Velocity of Particle 2 equation looks like with Units.

Here is how the Rotational Frequency given Velocity of Particle 2 equation looks like.

9.5493Edit=1.8Edit23.14163Edit
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Rotational Frequency given Velocity of Particle 2 Solution

Follow our step by step solution on how to calculate Rotational Frequency given Velocity of Particle 2?

FIRST Step Consider the formula
νrot=v22πR2
Next Step Substitute values of Variables
νrot=1.8m/s2π3cm
Next Step Substitute values of Constants
νrot=1.8m/s23.14163cm
Next Step Convert Units
νrot=1.8m/s23.14160.03m
Next Step Prepare to Evaluate
νrot=1.823.14160.03
Next Step Evaluate
νrot=9.54929658551372Hz
LAST Step Rounding Answer
νrot=9.5493Hz

Rotational Frequency given Velocity of Particle 2 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: νrot
Measurement: FrequencyUnit: Hz
Note: Value should be greater than 0.
Velocity of Particle with Mass m2
Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.
Symbol: v2
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Radius of Mass 2
Radius of Mass 2 is a distance of mass 2 from the center of mass.
Symbol: R2
Measurement: LengthUnit: cm
Note: Value should be greater than 0.
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 1
νrot=v12πR1

Other formulas in Angular Momentum and Velocity of Diatomic Molecule category

​Go Angular Momentum given Kinetic Energy
Lm1=2IKE
​Go Angular Momentum given Moment of Inertia
L1=Iω
​Go Angular Velocity given Inertia and Kinetic Energy
ω2=2KEI
​Go Angular Velocity of Diatomic Molecule
ω3=2πνrot

How to Evaluate Rotational Frequency given Velocity of Particle 2?

Rotational Frequency given Velocity of Particle 2 evaluator uses Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2) to evaluate the Rotational Frequency, The Rotational frequency given velocity of particle 2 formula is defined to relate rotational frequency with velocity and radius. The linear velocity is the radius times the angular velocity and further the relation of angular velocity with rotational 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 νrot symbol.

How to evaluate Rotational Frequency given Velocity of Particle 2 using this online evaluator? To use this online evaluator for Rotational Frequency given Velocity of Particle 2, enter Velocity of Particle with Mass m2 (v2) & Radius of Mass 2 (R2) and hit the calculate button.

FAQs on Rotational Frequency given Velocity of Particle 2

What is the formula to find Rotational Frequency given Velocity of Particle 2?
The formula of Rotational Frequency given Velocity of Particle 2 is expressed as Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2). Here is an example- 9.549297 = 1.8/(2*pi*0.03).
How to calculate Rotational Frequency given Velocity of Particle 2?
With Velocity of Particle with Mass m2 (v2) & Radius of Mass 2 (R2) we can find Rotational Frequency given Velocity of Particle 2 using the formula - Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2). 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 m1/(2*pi*Radius of Mass 1)OpenImg
Can the Rotational Frequency given Velocity of Particle 2 be negative?
No, the Rotational Frequency given Velocity of Particle 2, measured in Frequency cannot be negative.
Which unit is used to measure Rotational Frequency given Velocity of Particle 2?
Rotational Frequency given Velocity of Particle 2 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 2 can be measured.
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