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Pitch Angle Formula

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

ψ p = a r \sin (\frac{V p}{[c]})

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

Pitch Angle Example

With values

With units

Only example

Here is how the Pitch Angle equation looks like with Values.

Here is how the Pitch Angle equation looks like with Units.

Here is how the Pitch Angle equation looks like.

34.5454 = a r \sin (\frac{1.7E+8}{3E+8})

34.5454° = a r \sin (\frac{1.7E+8m/s}{3E+8m/s})

34.5454 = a r \sin (\frac{1.7E+8}{3E+8})

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Pitch Angle Solution

Follow our step by step solution on how to calculate Pitch Angle?

FIRST Step Consider the formula

ψ p = a r \sin (\frac{V p}{[c]})

Next Step Substitute values of Variables

∴

ψ p = a r \sin (\frac{1.7E+8m/s}{[c]})

Next Step Substitute values of Constants

∴

ψ p = a r \sin (\frac{1.7E+8m/s}{3E+8m/s})

Next Step Prepare to Evaluate

∴

ψ p = a r \sin (\frac{1.7E+8}{3E+8})

Next Step Evaluate

∴

ψ p = 0.602930828295161rad

Next Step Convert to Output's Unit

∴

ψ p = 34.5453917996462°

LAST Step Rounding Answer

∴

ψ p = 34.5454°

Pitch Angle Formula Elements

Variables

Constants

Functions

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

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

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)

arsin

Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: arsin(Number)

Other formulas in Helix Tube category

Go Ratio of Voltage Wave

V swr = \sqrt{P sw}

Go Insertion Loss

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 Pitch Angle?

Pitch Angle evaluator uses Pitch Angle = arsin(Phase Velocity/[c]) to evaluate the Pitch Angle, Pitch Angle refers to the angle between the axis of the helix and the direction of propagation of the electron beam. The helix is a key component of the TWT, which consists of a cylindrical metal wire wound in a helical pattern along the length of a vacuum tube. Pitch Angle is denoted by ψ_p symbol.

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

FAQs on Pitch Angle

What is the formula to find Pitch Angle?

The formula of Pitch Angle is expressed as Pitch Angle = arsin(Phase Velocity/[c]). Here is an example- 1979.305 = arsin(170000000/[c]).

How to calculate Pitch Angle?

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

Can the Pitch Angle be negative?

No, the Pitch Angle, measured in Angle cannot be negative.

Which unit is used to measure Pitch Angle?

Pitch Angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Pitch Angle can be measured.

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