FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Angle of Asymptotes Formula

Fx Copy

LaTeX Copy

Angle of Asymptotes is the angle formed by asymptotes with the positive real axis. Check FAQs

ϕ k = \frac{(2 \cdot (mod \underset{̲}{u} s (N - M) - 1) + 1) \cdot π}{mod \underset{̲}{u} s (N - M)}

ϕ_k - Angle of Asymptotes?N - Number of Poles?M - Number of Zeroes?π - Archimedes' constant?

Angle of Asymptotes Example

With values

With units

Only example

Here is how the Angle of Asymptotes equation looks like with Values.

Here is how the Angle of Asymptotes equation looks like with Units.

Here is how the Angle of Asymptotes equation looks like.

5.8344 = \frac{(2 \cdot (mod \underset{̲}{u} s (13 - 6) - 1) + 1) \cdot 3.1416}{mod \underset{̲}{u} s (13 - 6)}

5.8344rad = \frac{(2 \cdot (mod \underset{̲}{u} s (13 - 6) - 1) + 1) \cdot 3.1416}{mod \underset{̲}{u} s (13 - 6)}

5.8344 = \frac{(2 \cdot (mod \underset{̲}{u} s (13 - 6) - 1) + 1) \cdot 3.1416}{mod \underset{̲}{u} s (13 - 6)}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Control System » fx Angle of Asymptotes

Angle of Asymptotes Solution

Follow our step by step solution on how to calculate Angle of Asymptotes?

FIRST Step Consider the formula

ϕ k = \frac{(2 \cdot (mod \underset{̲}{u} s (N - M) - 1) + 1) \cdot π}{mod \underset{̲}{u} s (N - M)}

Next Step Substitute values of Variables

∴

ϕ k = \frac{(2 \cdot (mod \underset{̲}{u} s (13 - 6) - 1) + 1) \cdot π}{mod \underset{̲}{u} s (13 - 6)}

Next Step Substitute values of Constants

∴

ϕ k = \frac{(2 \cdot (mod \underset{̲}{u} s (13 - 6) - 1) + 1) \cdot 3.1416}{mod \underset{̲}{u} s (13 - 6)}

Next Step Prepare to Evaluate

∴

ϕ k = \frac{(2 \cdot (mod \underset{̲}{u} s (13 - 6) - 1) + 1) \cdot 3.1416}{mod \underset{̲}{u} s (13 - 6)}

Next Step Evaluate

∴

ϕ k = 5.83438635666676rad

LAST Step Rounding Answer

∴

ϕ k = 5.8344rad

Angle of Asymptotes Formula Elements

Variables

Constants

Functions

Angle of Asymptotes

Angle of Asymptotes is the angle formed by asymptotes with the positive real axis.

Symbol: ϕ_k

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Asymptotes

Number of Poles

The Number of Poles or the number of magnetic poles refers to the magnetic poles (NSNSNS……) that appear on the surface created by cutting the motor perpendicularly to the shaft.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Poles

Number of Zeroes

The Number of Zeroes is the number of finite open-loop zeros for the construction of the root locus.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Zeroes

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

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other formulas in Fundamental Parameters category

Go Damping Ratio or Damping Factor

ζ = \frac{c}{2 \cdot \sqrt{m \cdot K spring}}

Go Damped Natural Frequency

ω d = ω n \cdot \sqrt{1 - ζ^{2}}

Go Resonant Peak

M r = \frac{1}{2 \cdot ζ \cdot \sqrt{1 - ζ^{2}}}

Go Resonant Frequency

ω r = ω n \cdot \sqrt{1 - 2 \cdot ζ^{2}}

How to Evaluate Angle of Asymptotes?

Angle of Asymptotes evaluator uses Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes)) to evaluate the Angle of Asymptotes, Angle of Asymptotes is defined as the angle at which an asymptote is oriented at from the positive real axis. It is usually calculated in radians but can be converted into degrees as well. Angle of Asymptotes is denoted by ϕ_k symbol.

How to evaluate Angle of Asymptotes using this online evaluator? To use this online evaluator for Angle of Asymptotes, enter Number of Poles (N) & Number of Zeroes (M) and hit the calculate button.

FAQs on Angle of Asymptotes

What is the formula to find Angle of Asymptotes?

The formula of Angle of Asymptotes is expressed as Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes)). Here is an example- 5.834386 = ((2*(modulus(13-6)-1)+1)*pi)/(modulus(13-6)).

How to calculate Angle of Asymptotes?

With Number of Poles (N) & Number of Zeroes (M) we can find Angle of Asymptotes using the formula - Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes)). This formula also uses Archimedes' constant and Modulus (modulus) function(s).

Can the Angle of Asymptotes be negative?

Yes, the Angle of Asymptotes, measured in Angle can be negative.

Which unit is used to measure Angle of Asymptotes?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit