Arc Length of Cycloid Calculator

✖Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.ⓘ Radius of Circle of Cycloid [r_Circle]

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✖Arc Length of Cycloid is the distance between two points along a section of a curve.ⓘ Arc Length of Cycloid [l_Arc]

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Arc Length of Cycloid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Cycloid = 8*Radius of Circle of Cycloid
l_Arc = 8*r_Circle
This formula uses 2 Variables

Variables Used

Arc Length of Cycloid - (Measured in Meter) - Arc Length of Cycloid is the distance between two points along a section of a curve.
Radius of Circle of Cycloid - (Measured in Meter) - Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.

STEP 1: Convert Input(s) to Base Unit

Radius of Circle of Cycloid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = 8*r_Circle --> 8*5

Evaluating ... ...

l_Arc = 40

STEP 3: Convert Result to Output's Unit

40 Meter --> No Conversion Required

FINAL ANSWER

40 Meter <-- Arc Length of Cycloid

(Calculation completed in 00.007 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Arc Length of Cycloid Calculators

Arc Length of Cycloid given Perimeter

LaTeX Go Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi))

Arc Length of Cycloid given Base Length

LaTeX Go Arc Length of Cycloid = (4*Base Length of Cycloid)/pi

Arc Length of Cycloid

LaTeX Go Arc Length of Cycloid = 8*Radius of Circle of Cycloid

Arc Length of Cycloid given Height

LaTeX Go Arc Length of Cycloid = 4*Height of Cycloid

Arc Length of Cycloid Formula

LaTeX Go

Arc Length of Cycloid = 8*Radius of Circle of Cycloid
l_Arc = 8*r_Circle

What is a Cycloid?

In geometry, a Cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. A cycloid is a specific form of trochoid and is an example of a roulette, a curve generated by a curve rolling on another curve.

The cycloid, with the cusps pointing upward, is the curve of fastest descent under constant gravity (the brachistochrone curve). It is also the form of a curve for which the period of an object in simple harmonic motion (rolling up and down repetitively) along the curve does not depend on the object's starting position (the tautochrone curve).

How to Calculate Arc Length of Cycloid?

Arc Length of Cycloid calculator uses Arc Length of Cycloid = 8*Radius of Circle of Cycloid to calculate the Arc Length of Cycloid, The Arc Length of Cycloid formula is defined as the distance between two points along a section of a curve. Arc Length of Cycloid is denoted by l_Arc symbol.

How to calculate Arc Length of Cycloid using this online calculator? To use this online calculator for Arc Length of Cycloid, enter Radius of Circle of Cycloid (r_Circle) and hit the calculate button. Here is how the Arc Length of Cycloid calculation can be explained with given input values -> 40 = 8*5.

FAQ

What is Arc Length of Cycloid?

The Arc Length of Cycloid formula is defined as the distance between two points along a section of a curve and is represented as l_Arc = 8*r_Circle or Arc Length of Cycloid = 8*Radius of Circle of Cycloid. Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.

How to calculate Arc Length of Cycloid?

The Arc Length of Cycloid formula is defined as the distance between two points along a section of a curve is calculated using Arc Length of Cycloid = 8*Radius of Circle of Cycloid. To calculate Arc Length of Cycloid, you need Radius of Circle of Cycloid (r_Circle). With our tool, you need to enter the respective value for Radius of Circle of Cycloid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Arc Length of Cycloid?

In this formula, Arc Length of Cycloid uses Radius of Circle of Cycloid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Arc Length of Cycloid = (4*Base Length of Cycloid)/pi
Arc Length of Cycloid = 4*Height of Cycloid
Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi))

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