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Velocity of Particle 1 Formula

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Velocity of Particle 1 is the rate at which particle (of mass m1) moves. Check FAQs

v p1 = 2 \cdot π \cdot R 1 \cdot ν rot

v_p1 - Velocity of Particle 1?R₁ - Radius of Mass 1?ν_rot - Rotational Frequency?π - Archimedes' constant?

Velocity of Particle 1 Example

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

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

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

0.9425 = 2 \cdot 3.1416 \cdot 1.5 \cdot 10

0.9425m/s = 2 \cdot 3.1416 \cdot 1.5cm \cdot 10Hz

0.9425 = 2 \cdot 3.1416 \cdot 1.5 \cdot 10

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Velocity of Particle 1 Solution

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

FIRST Step Consider the formula

v p1 = 2 \cdot π \cdot R 1 \cdot ν rot

Next Step Substitute values of Variables

∴

v p1 = 2 \cdot π \cdot 1.5cm \cdot 10Hz

Next Step Substitute values of Constants

∴

v p1 = 2 \cdot 3.1416 \cdot 1.5cm \cdot 10Hz

Next Step Convert Units

∴

v p1 = 2 \cdot 3.1416 \cdot 0.015m \cdot 10Hz

Next Step Prepare to Evaluate

∴

v p1 = 2 \cdot 3.1416 \cdot 0.015 \cdot 10

Next Step Evaluate

∴

v p1 = 0.942477796076938m/s

LAST Step Rounding Answer

∴

v p1 = 0.9425m/s

Velocity of Particle 1 Formula Elements

Variables

Constants

Velocity of Particle 1

Velocity of Particle 1 is the rate at which particle (of mass m1) moves.

Symbol: v_p1

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Particle 1

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

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

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 in Kinetic Energy for System category

Go Kinetic Energy given Angular Momentum

KE1 = \frac{\frac{L}{2}}{2 \cdot I}

Go Kinetic Energy given Inertia and Angular Velocity

KE2 = I \cdot \frac{ω^{2}}{2}

Go Kinetic Energy of System

KE = \frac{(m 1 \cdot ({v 1}^{2})) + (m 2 \cdot ({v 2}^{2}))}{2}

Go Kinetic Energy given Angular Velocity

KE1 = ((m 1 \cdot ({R 1}^{2})) + (m 2 \cdot ({R 2}^{2}))) \cdot \frac{ω^{2}}{2}

How to Evaluate Velocity of Particle 1?

Velocity of Particle 1 evaluator uses Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency to evaluate 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 evaluate Velocity of Particle 1 using this online evaluator? To use this online evaluator for Velocity of Particle 1, enter Radius of Mass 1 (R₁) & Rotational Frequency (ν_rot) and hit the calculate button.

FAQs on Velocity of Particle 1

What is the formula to find Velocity of Particle 1?

The formula of Velocity of Particle 1 is expressed as Velocity of Particle 1 = 2*pi*Radius of Mass 1*Rotational Frequency. Here is an example- 0.942478 = 2*pi*0.015*10.

How to calculate Velocity of Particle 1?

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

Can the Velocity of Particle 1 be negative?

Yes, the Velocity of Particle 1, measured in Speed can be negative.

Which unit is used to measure Velocity of Particle 1?

Velocity of Particle 1 is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity of Particle 1 can be measured.

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