Arc Length of Cycloid given Base Length Calculator

✖The Base Length of Cycloid is the distance of the base points of the cycloid.ⓘ Base Length of Cycloid [l_Base]

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

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Arc Length of Cycloid given Base Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Cycloid = (4*Base Length of Cycloid)/pi
l_Arc = (4*l_Base)/pi
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Base Length of Cycloid - (Measured in Meter) - The Base Length of Cycloid is the distance of the base points of the cycloid.

STEP 1: Convert Input(s) to Base Unit

Base Length of Cycloid: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = (4*l_Base)/pi --> (4*30)/pi

Evaluating ... ...

l_Arc = 38.1971863420549

STEP 3: Convert Result to Output's Unit

38.1971863420549 Meter --> No Conversion Required

FINAL ANSWER

38.1971863420549 ≈ 38.19719 Meter <-- Arc Length of Cycloid

(Calculation completed in 00.004 seconds)

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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 given Base Length Formula

LaTeX Go

Arc Length of Cycloid = (4*Base Length of Cycloid)/pi
l_Arc = (4*l_Base)/pi

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 given Base Length?

Arc Length of Cycloid given Base Length calculator uses Arc Length of Cycloid = (4*Base Length of Cycloid)/pi to calculate the Arc Length of Cycloid, The Arc Length of Cycloid given Base Length formula is defined as the distance between two points along a section of a curve, calculated using its base length. Arc Length of Cycloid is denoted by l_Arc symbol.

How to calculate Arc Length of Cycloid given Base Length using this online calculator? To use this online calculator for Arc Length of Cycloid given Base Length, enter Base Length of Cycloid (l_Base) and hit the calculate button. Here is how the Arc Length of Cycloid given Base Length calculation can be explained with given input values -> 38.19719 = (4*30)/pi.

FAQ

What is Arc Length of Cycloid given Base Length?

The Arc Length of Cycloid given Base Length formula is defined as the distance between two points along a section of a curve, calculated using its base length and is represented as l_Arc = (4*l_Base)/pi or Arc Length of Cycloid = (4*Base Length of Cycloid)/pi. The Base Length of Cycloid is the distance of the base points of the cycloid.

How to calculate Arc Length of Cycloid given Base Length?

The Arc Length of Cycloid given Base Length formula is defined as the distance between two points along a section of a curve, calculated using its base length is calculated using Arc Length of Cycloid = (4*Base Length of Cycloid)/pi. To calculate Arc Length of Cycloid given Base Length, you need Base Length of Cycloid (l_Base). With our tool, you need to enter the respective value for Base Length 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 Base Length of Cycloid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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