FormulaDen.com

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

Rotational Angle of Alpha Helix Formula

Fx Copy

LaTeX Copy

Rotation angle per residue is rotation angle Ω per residue of any polypeptide helix with trans isomers. Check FAQs

Ω = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{φ + ψ}{2})}^{2}))}{3})

Ω - Rotation Angle per Residue?φ - Dihedral angles around negative 65°?ψ - Dihedral Angles around negative 45°?

Rotational Angle of Alpha Helix Example

With values

With units

Only example

Here is how the Rotational Angle of Alpha Helix equation looks like with Values.

Here is how the Rotational Angle of Alpha Helix equation looks like with Units.

Here is how the Rotational Angle of Alpha Helix equation looks like.

147.6447 = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{45 + 35}{2})}^{2}))}{3})

147.6447° = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{45° + 35°}{2})}^{2}))}{3})

147.6447 = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{45 + 35}{2})}^{2}))}{3})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Biochemistry » Category

Microbiology » fx Rotational Angle of Alpha Helix

Rotational Angle of Alpha Helix Solution

Follow our step by step solution on how to calculate Rotational Angle of Alpha Helix?

FIRST Step Consider the formula

Ω = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{φ + ψ}{2})}^{2}))}{3})

Next Step Substitute values of Variables

∴

Ω = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{45° + 35°}{2})}^{2}))}{3})

Next Step Convert Units

∴

Ω = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{0.7854rad + 0.6109rad}{2})}^{2}))}{3})

Next Step Prepare to Evaluate

∴

Ω = a \cos (\frac{1 - (4 \cdot \cos ({(\frac{0.7854 + 0.6109}{2})}^{2}))}{3})

Next Step Evaluate

∴

Ω = 2.57688590649503rad

Next Step Convert to Output's Unit

∴

Ω = 147.644686728936°

LAST Step Rounding Answer

∴

Ω = 147.6447°

Rotational Angle of Alpha Helix Formula Elements

Variables

Functions

Rotation Angle per Residue

Rotation angle per residue is rotation angle Ω per residue of any polypeptide helix with trans isomers.

Symbol: Ω

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Rotation Angle per Residue

Dihedral angles around negative 65°

Dihedral angles around negative 65° is residues in α-helices typically adopt backbone dihedral angles around (-65)°.

Symbol: φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Dihedral angles around negative 65°

Dihedral Angles around negative 45°

Dihedral Angles around negative 45° is residues in α-helices typically adopt backbone dihedral angles around -45°.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Dihedral Angles around negative 45°

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other formulas in Microbiology category

Go Wall tension of Vessel using Young-Laplace Equation

σ θ = \frac{P \cdot r 1}{t}

Go Temperature Coefficient of Resistance of RTD

α 0 = \frac{R 100 - R 0}{R 0 \cdot 100}

Go Hardy-Weinberg Equilibrium Equation for Predicted Frequency of Heterozygous (Aa) Type

2pq = 1 - ({p 2}^{2}) - ({q 2}^{2})

Go Approximate Water Potential of Cell

Ψ = Ψ s + Ψ p

How to Evaluate Rotational Angle of Alpha Helix?

Rotational Angle of Alpha Helix evaluator uses Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3) to evaluate the Rotation Angle per Residue, The Rotational Angle of Alpha Helix formula is defined as the general formula for the rotation angle Ω per residue of any polypeptide helix with trans isomers is given by the equation. Rotation Angle per Residue is denoted by Ω symbol.

How to evaluate Rotational Angle of Alpha Helix using this online evaluator? To use this online evaluator for Rotational Angle of Alpha Helix, enter Dihedral angles around negative 65° (φ) & Dihedral Angles around negative 45° (ψ) and hit the calculate button.

FAQs on Rotational Angle of Alpha Helix

What is the formula to find Rotational Angle of Alpha Helix?

The formula of Rotational Angle of Alpha Helix is expressed as Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3). Here is an example- 8459.417 = acos((1-(4*cos(((0.785398163397301+0.610865238197901)/2)^2)))/3).

How to calculate Rotational Angle of Alpha Helix?

With Dihedral angles around negative 65° (φ) & Dihedral Angles around negative 45° (ψ) we can find Rotational Angle of Alpha Helix using the formula - Rotation Angle per Residue = acos((1-(4*cos(((Dihedral angles around negative 65°+Dihedral Angles around negative 45°)/2)^2)))/3). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

Can the Rotational Angle of Alpha Helix be negative?

Yes, the Rotational Angle of Alpha Helix, measured in Angle can be negative.

Which unit is used to measure Rotational Angle of Alpha Helix?

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

Let Others Know

✖

Facebook

Twitter

Copied!

Rotational Angle of Alpha Helix Formula

Rotational Angle of Alpha Helix Example

Rotational Angle of Alpha Helix Solution

Rotational Angle of Alpha Helix Formula Elements

Other formulas in Microbiology category

How to Evaluate Rotational Angle of Alpha Helix?

FAQs on Rotational Angle of Alpha Helix

Variable Name