Rotational Frequency given Velocity of Particle 2 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2)
νrot = v2/(2*pi*R2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Rotational Frequency - (Measured in Hertz) - Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.
Velocity of Particle with Mass m2 - (Measured in Meter per Second) - Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves.
Radius of Mass 2 - (Measured in Meter) - Radius of Mass 2 is a distance of mass 2 from the center of mass.
STEP 1: Convert Input(s) to Base Unit
Velocity of Particle with Mass m2: 1.8 Meter per Second --> 1.8 Meter per Second No Conversion Required
Radius of Mass 2: 3 Centimeter --> 0.03 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
νrot = v2/(2*pi*R2) --> 1.8/(2*pi*0.03)
Evaluating ... ...
νrot = 9.54929658551372
STEP 3: Convert Result to Output's Unit
9.54929658551372 Hertz --> No Conversion Required
FINAL ANSWER
9.54929658551372 9.549297 Hertz <-- Rotational Frequency
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Delhi
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National Institute of Information Technology (NIIT), Neemrana
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Rotational Frequency given Velocity of Particle 2 Formula

​LaTeX ​Go
Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2)
νrot = v2/(2*pi*R2)

How to get Rotational frequency in terms of velocity 2?

We know linear velocity (v) is radius(r) times the angular velocity (ω) {i.e. v=r*ω} ,and angular velocity (ω) is equal to the product of the rotational frequency (f) and the constant 2pi {ω= 2*pi* f} . So considering these two relations give us a simple relation of Rotational frequency {i.e. f= velocity/(2*pi*r) } and thus we obtain rotational frequency.

How to Calculate Rotational Frequency given Velocity of Particle 2?

Rotational Frequency given Velocity of Particle 2 calculator uses Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2) to calculate 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 calculate Rotational Frequency given Velocity of Particle 2 using this online calculator? To use this online calculator 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. Here is how the Rotational Frequency given Velocity of Particle 2 calculation can be explained with given input values -> 9.549297 = 1.8/(2*pi*0.03).

FAQ

What is Rotational Frequency given Velocity of Particle 2?
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) and is represented as νrot = v2/(2*pi*R2) or Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2). Velocity of Particle with Mass m2 is the rate at which particle (of mass m2) moves & Radius of Mass 2 is a distance of mass 2 from the center of mass.
How to calculate Rotational Frequency given Velocity of Particle 2?
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) is calculated using Rotational Frequency = Velocity of Particle with Mass m2/(2*pi*Radius of Mass 2). To calculate Rotational Frequency given Velocity of Particle 2, you need Velocity of Particle with Mass m2 (v2) & Radius of Mass 2 (R2). With our tool, you need to enter the respective value for Velocity of Particle with Mass m2 & Radius of Mass 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Rotational Frequency?
In this formula, Rotational Frequency uses Velocity of Particle with Mass m2 & Radius of Mass 2. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)
  • Rotational Frequency = Velocity of Particle with Mass m1/(2*pi*Radius of Mass 1)
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