Order of Rotation Axis in Cn Operation Calculator

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✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]

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✖Order of Rotation Axis in Cn Operation is a line in space about which an object may be rotated anticlockwise by 360°/n such that its initial and final positions are indistinguishable.ⓘ Order of Rotation Axis in Cn Operation [n_{rotation axis}]

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Formula

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Order of Rotation Axis in Cn Operation

Formula

`"n"_{"rotation axis"} = (2*pi)/"θ"`

Example

`"12"=(2*pi)/"30°"`

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Order of Rotation Axis in Cn Operation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Order of Rotation Axis = (2*pi)/Theta
n_{rotation axis} = (2*pi)/θ
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Order of Rotation Axis - Order of Rotation Axis in Cn Operation is a line in space about which an object may be rotated anticlockwise by 360°/n such that its initial and final positions are indistinguishable.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n_{rotation axis} = (2*pi)/θ --> (2*pi)/0.5235987755982

Evaluating ... ...

n_{rotation axis} = 12.0000000000023

STEP 3: Convert Result to Output's Unit

12.0000000000023 --> No Conversion Required

FINAL ANSWER

12.0000000000023 ≈ 12 <-- Order of Rotation Axis

(Calculation completed in 00.004 seconds)

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Created by Pracheta Trivedi

National Institute Of Technology Warangal (NITW), Warangal

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National University of Judicial Science (NUJS), Kolkata

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Order of Rotation Axis in Cn Operation Formula

Order of Rotation Axis = (2*pi)/Theta
n_{rotation axis} = (2*pi)/θ

What is Proper Rotation Axis?

Proper Rotation Axis is just a simple rotation operation about an axis. The symbol for any proper rotation or proper axis is C(360/n), where n is the degree of rotation. Thus, a 180° rotation is a C2 rotation around a C2 axis, and a 120° rotation is a C3 rotation about a C3 axis

How to Calculate Order of Rotation Axis in Cn Operation?

Order of Rotation Axis in Cn Operation calculator uses Order of Rotation Axis = (2*pi)/Theta to calculate the Order of Rotation Axis, Order of Rotation Axis in Cn Operation is a line in space about which an object may be rotated anticlockwise by 360°/n such that its initial and final positions are indistinguishable. Order of Rotation Axis is denoted by n_{rotation axis} symbol.

How to calculate Order of Rotation Axis in Cn Operation using this online calculator? To use this online calculator for Order of Rotation Axis in Cn Operation, enter Theta (θ) and hit the calculate button. Here is how the Order of Rotation Axis in Cn Operation calculation can be explained with given input values -> 12 = (2*pi)/0.5235987755982.

FAQ

What is Order of Rotation Axis in Cn Operation?

Order of Rotation Axis in Cn Operation is a line in space about which an object may be rotated anticlockwise by 360°/n such that its initial and final positions are indistinguishable and is represented as n_{rotation axis} = (2*pi)/θ or Order of Rotation Axis = (2*pi)/Theta. Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Order of Rotation Axis in Cn Operation?

Order of Rotation Axis in Cn Operation is a line in space about which an object may be rotated anticlockwise by 360°/n such that its initial and final positions are indistinguishable is calculated using Order of Rotation Axis = (2*pi)/Theta. To calculate Order of Rotation Axis in Cn Operation, you need Theta (θ). With our tool, you need to enter the respective value for Theta and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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