Velocity of Particle 1 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency
vp1 = 2*pi*R1*νrot
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
vp1 = 2*pi*R1rot --> 2*pi*0.015*10
Evaluating ... ...
vp1 = 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)

Credits

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Created by Nishant Sihag
Indian Institute of Technology (IIT), Delhi
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Kinetic Energy for System Calculators

Kinetic Energy given Angular Velocity
​ LaTeX ​ 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
Kinetic Energy of System
​ LaTeX ​ Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
Kinetic Energy given Inertia and Angular Velocity
​ LaTeX ​ Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
Kinetic Energy given Angular Momentum
​ LaTeX ​ Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Kinetic Energy of System Calculators

Kinetic Energy given Angular Velocity
​ LaTeX ​ 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
Kinetic Energy of System
​ LaTeX ​ Go Kinetic Energy = ((Mass 1*(Velocity of Particle with Mass m1^2))+(Mass 2*(Velocity of Particle with Mass m2^2)))/2
Kinetic Energy given Inertia and Angular Velocity
​ LaTeX ​ Go Kinetic Energy given Inertia and Angular Velocity = Moment of Inertia*(Angular Velocity Spectroscopy^2)/2
Kinetic Energy given Angular Momentum
​ LaTeX ​ Go Kinetic Energy given Angular Momentum = (Angular Momentum/2)/(2*Moment of Inertia)

Velocity of Particle 1 Formula

​LaTeX ​Go
Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency
vp1 = 2*pi*R1*νrot

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 vp1 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 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 vp1 = 2*pi*R1rot 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 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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