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Phase Velocity Formula

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Phase Velocity of a wave is the rate at which the wave propagates in some medium. Check FAQs

V p = [c] \cdot \sin (ψ p)

V_p - Phase Velocity?ψ_p - Pitch Angle?[c] - Light speed in vacuum?

Phase Velocity Example

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With units

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Here is how the Phase Velocity equation looks like with Values.

Here is how the Phase Velocity equation looks like with Units.

Here is how the Phase Velocity equation looks like.

1.6E+8 = 3E+8 \cdot \sin (32.49)

1.6E+8m/s = 3E+8m/s \cdot \sin (32.49°)

1.6E+8 = 3E+8 \cdot \sin (32.49)

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Phase Velocity Solution

Follow our step by step solution on how to calculate Phase Velocity?

FIRST Step Consider the formula

V p = [c] \cdot \sin (ψ p)

Next Step Substitute values of Variables

∴

V p = [c] \cdot \sin (32.49°)

Next Step Substitute values of Constants

∴

V p = 3E+8m/s \cdot \sin (32.49°)

Next Step Convert Units

∴

V p = 3E+8m/s \cdot \sin (0.5671rad)

Next Step Prepare to Evaluate

∴

V p = 3E+8 \cdot \sin (0.5671)

Next Step Evaluate

∴

V p = 161034238.492822m/s

LAST Step Rounding Answer

∴

V p = 1.6E+8m/s

Phase Velocity Formula Elements

Variables

Constants

Functions

Phase Velocity

Phase Velocity of a wave is the rate at which the wave propagates in some medium.

Symbol: V_p

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Phase Velocity

Pitch Angle

Pitch Angle refers to the angle between the axis of the helix and the direction of propagation of the electron beam.

Symbol: ψ_p

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Pitch Angle

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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I L = 20 \cdot \log 10 (\frac{V t}{V in})

Go Power Standing Wave Ratio

P sw = {V swr}^{2}

Go Saturation Drift Voltage

V ds = \frac{L g}{T o}

How to Evaluate Phase Velocity?

Phase Velocity evaluator uses Phase Velocity = [c]*sin(Pitch Angle) to evaluate the Phase Velocity, The Phase Velocity formula is defined as a wave is the rate at which the wave propagates in some medium. This is the velocity at which the phase of any one frequency component of the wave travels. Phase Velocity is denoted by V_p symbol.

How to evaluate Phase Velocity using this online evaluator? To use this online evaluator for Phase Velocity, enter Pitch Angle (ψ_p) and hit the calculate button.

FAQs on Phase Velocity

What is the formula to find Phase Velocity?

The formula of Phase Velocity is expressed as Phase Velocity = [c]*sin(Pitch Angle). Here is an example- 1.6E+8 = [c]*sin(0.567057473972851).

How to calculate Phase Velocity?

With Pitch Angle (ψ_p) we can find Phase Velocity using the formula - Phase Velocity = [c]*sin(Pitch Angle). This formula also uses Light speed in vacuum constant(s) and Sine (sin) function(s).

Can the Phase Velocity be negative?

No, the Phase Velocity, measured in Speed cannot be negative.

Which unit is used to measure Phase Velocity?

Phase Velocity 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 Phase Velocity can be measured.

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