Arc Length of Cycloid given Perimeter Calculator

✖The Perimeter of Cycloid is the total distance around the edge of the Cycloid.ⓘ Perimeter of Cycloid [P]

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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 Perimeter [l_Arc]

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Arc Length of Cycloid given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi))
l_Arc = (8*P)/(8+(2*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.
Perimeter of Cycloid - (Measured in Meter) - The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Cycloid: 70 Meter --> 70 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = (8*P)/(8+(2*pi)) --> (8*70)/(8+(2*pi))

Evaluating ... ...

l_Arc = 39.206940745809

STEP 3: Convert Result to Output's Unit

39.206940745809 Meter --> No Conversion Required

FINAL ANSWER

39.206940745809 ≈ 39.20694 Meter <-- Arc Length of Cycloid

(Calculation completed in 00.008 seconds)

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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 given Perimeter Formula

LaTeX Go

Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi))
l_Arc = (8*P)/(8+(2*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 Perimeter?

Arc Length of Cycloid given Perimeter calculator uses Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi)) to calculate the Arc Length of Cycloid, The Arc Length of Cycloid given Perimeter formula is defined as the distance between two points along a section of a curve, calculated using its perimeter. Arc Length of Cycloid is denoted by l_Arc symbol.

How to calculate Arc Length of Cycloid given Perimeter using this online calculator? To use this online calculator for Arc Length of Cycloid given Perimeter, enter Perimeter of Cycloid (P) and hit the calculate button. Here is how the Arc Length of Cycloid given Perimeter calculation can be explained with given input values -> 39.20694 = (8*70)/(8+(2*pi)).

FAQ

What is Arc Length of Cycloid given Perimeter?

The Arc Length of Cycloid given Perimeter formula is defined as the distance between two points along a section of a curve, calculated using its perimeter and is represented as l_Arc = (8*P)/(8+(2*pi)) or Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi)). The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

How to calculate Arc Length of Cycloid given Perimeter?

The Arc Length of Cycloid given Perimeter formula is defined as the distance between two points along a section of a curve, calculated using its perimeter is calculated using Arc Length of Cycloid = (8*Perimeter of Cycloid)/(8+(2*pi)). To calculate Arc Length of Cycloid given Perimeter, you need Perimeter of Cycloid (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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*Base Length of Cycloid)/pi
Arc Length of Cycloid = 4*Height of Cycloid

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