Velocity of Particle 1 Calculator

✖Radius of mass 1 is a distance of mass 1 from the center of mass.ⓘ Radius of Mass 1 [R₁]			+10% -10%
✖Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.ⓘ Rotational Frequency [ν_rot]			+10% -10%

✖Velocity of Particle 1 is the rate at which particle (of mass m1) moves.ⓘ Velocity of Particle 1 [v_p1]

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Formula

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Velocity of Particle 1

Formula

`"v"_{"p1"} = 2*pi*"R"_{"1"}*"ν"_{"rot"}`

Example

`"0.942478m/s"=2*pi*"1.5cm"*"10Hz"`

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Velocity of Particle 1 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency
v_p1 = 2*pi*R₁*ν_rot
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Velocity of Particle 1 - (Measured in Meter per Second) - Velocity of Particle 1 is the rate at which particle (of mass m1) moves.
Radius of Mass 1 - (Measured in Meter) - Radius of mass 1 is a distance of mass 1 from the center of mass.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Mass 1: 1.5 Centimeter --> 0.015 Meter (Check conversion here)
Rotational Frequency: 10 Hertz --> 10 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_p1 = 2*pi*R₁*ν_rot --> 2*pi*0.015*10

Evaluating ... ...

v_p1 = 0.942477796076938

STEP 3: Convert Result to Output's Unit

0.942477796076938 Meter per Second --> No Conversion Required

FINAL ANSWER

0.942477796076938 ≈ 0.942478 Meter per Second <-- Velocity of Particle 1

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Analytical chemistry » Molecular Spectroscopy » Rotational Spectroscopy » Kinetic Energy for System » Velocity of Particle 1

Credits

Created by Nishant Sihag

Indian Institute of Technology (IIT), Delhi

Nishant Sihag has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 8 Kinetic Energy for System Calculators

Kinetic Energy given Angular Velocity

Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1 given Kinetic Energy

Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)

Velocity of Particle 2 given Kinetic Energy

Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)

Kinetic Energy of System

Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Velocity of Particle 2

Go Velocity of Particle with Mass m2 = 2*pi*Radius of Mass 2*Rotational Frequency

Kinetic Energy given Inertia and Angular Velocity

Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1

Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency

Kinetic Energy given Angular Momentum

Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

< 8 Kinetic Energy of System Calculators

Kinetic Energy given Angular Velocity

Go Kinetic Energy given Angular Momentum = ((Mass 1*(Radius of Mass 1^2))+(Mass 2*(Radius of Mass 2^2)))*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1 given Kinetic Energy

Go Velocity of Particle with Mass m1 = sqrt(((2*Kinetic Energy)-(Mass 2*Velocity of Particle with Mass m2^2))/Mass 1)

Velocity of Particle 2 given Kinetic Energy

Go Velocity of Particle with Mass m2 = sqrt(((2*Kinetic Energy)-(Mass 1*Velocity of Particle with Mass m1^2))/Mass 2)

Kinetic Energy of System

Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2

Velocity of Particle 2

Go Velocity of Particle with Mass m2 = 2*pi*Radius of Mass 2*Rotational Frequency

Kinetic Energy given Inertia and Angular Velocity

Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2

Velocity of Particle 1

Go Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency

Kinetic Energy given Angular Momentum

Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Velocity of Particle 1 Formula

Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency
v_p1 = 2*pi*R₁*ν_rot

How to get Velocity of particle 1?

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

How to Calculate Velocity of Particle 1?

Velocity of Particle 1 calculator uses Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency to calculate the Velocity of Particle 1, The Velocity of particle 1 formula is defined to relate velocity with frequency of rotation 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, velocity is 2 * pi times product of radius and frequency of rotation. Velocity of Particle 1 is denoted by v_p1 symbol.

How to calculate Velocity of Particle 1 using this online calculator? To use this online calculator for Velocity of Particle 1, enter Radius of Mass 1 (R₁) & Rotational Frequency (ν_rot) and hit the calculate button. Here is how the Velocity of Particle 1 calculation can be explained with given input values -> 0.942478 = 2*pi*0.015*10.

FAQ

What is Velocity of Particle 1?

The Velocity of particle 1 formula is defined to relate velocity with frequency of rotation 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, velocity is 2 * pi times product of radius and frequency of rotation and is represented as v_p1 = 2*pi*R₁*ν_rot or Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency. Radius of mass 1 is a distance of mass 1 from the center of mass & Rotational Frequency is defined as the number of rotations per unit time or reciprocal of the time period of one complete rotation.

How to calculate Velocity of Particle 1?

The Velocity of particle 1 formula is defined to relate velocity with frequency of rotation 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, velocity is 2 * pi times product of radius and frequency of rotation is calculated using Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency. To calculate Velocity of Particle 1, you need Radius of Mass 1 (R₁) & Rotational Frequency (ν_rot). With our tool, you need to enter the respective value for Radius of Mass 1 & Rotational Frequency 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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