Arc Length of Double Cycloid given Long Diameter Calculator

✖Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.ⓘ Long Diameter of Double Cycloid [D_Long]

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

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Formula

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Arc Length of Double Cycloid given Long Diameter

Formula

`"l"_{"Arc"} = 4*"D"_{"Long"}/pi`

Example

`"15.27887m"=4*"12m"/pi`

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Arc Length of Double Cycloid given Long Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi
l_Arc = 4*D_Long/pi
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Arc Length of Double Cycloid - (Measured in Meter) - The Arc Length of Double Cycloid is the distance between two points along a section of a curve.
Long Diameter of Double Cycloid - (Measured in Meter) - Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.

STEP 1: Convert Input(s) to Base Unit

Long Diameter of Double Cycloid: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = 4*D_Long/pi --> 4*12/pi

Evaluating ... ...

l_Arc = 15.278874536822

STEP 3: Convert Result to Output's Unit

15.278874536822 Meter --> No Conversion Required

FINAL ANSWER

15.278874536822 ≈ 15.27887 Meter <-- Arc Length of Double Cycloid

(Calculation completed in 00.004 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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< 5 Arc Length of Double Cycloid Calculators

Arc Length of Double Cycloid given Area

Go Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi))

Arc Length of Double Cycloid given Long Diameter

Go Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi

Arc Length of Double Cycloid

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

Arc Length of Double Cycloid given Short Diameter

Go Arc Length of Double Cycloid = 2*Short Diameter of Double Cycloid

Arc Length of Double Cycloid given Perimeter

Go Arc Length of Double Cycloid = Perimeter of Double Cycloid/2

Arc Length of Double Cycloid given Long Diameter Formula

Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi
l_Arc = 4*D_Long/pi

What is a Double Cycloid?

A Double Cycloid is a cycloid mirrored at its straight side. It is a curve traced by a point on a circle as it rolls along a straight line without slipping. The double cycloid looks like a mix of the ellipse and pointed oval, but it has no vertices.

How to Calculate Arc Length of Double Cycloid given Long Diameter?

Arc Length of Double Cycloid given Long Diameter calculator uses Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi to calculate the Arc Length of Double Cycloid, The Arc Length of Double Cycloid given Long Diameter formula is defined as the distance between two points along a section of a curve, calculated using a long diameter. Arc Length of Double Cycloid is denoted by l_Arc symbol.

How to calculate Arc Length of Double Cycloid given Long Diameter using this online calculator? To use this online calculator for Arc Length of Double Cycloid given Long Diameter, enter Long Diameter of Double Cycloid (D_Long) and hit the calculate button. Here is how the Arc Length of Double Cycloid given Long Diameter calculation can be explained with given input values -> 15.27887 = 4*12/pi.

FAQ

What is Arc Length of Double Cycloid given Long Diameter?

The Arc Length of Double Cycloid given Long Diameter formula is defined as the distance between two points along a section of a curve, calculated using a long diameter and is represented as l_Arc = 4*D_Long/pi or Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi. Long Diameter of Double Cycloid is a long straight line passing from side to side through the center of the Double Cycloid.

How to calculate Arc Length of Double Cycloid given Long Diameter?

The Arc Length of Double Cycloid given Long Diameter formula is defined as the distance between two points along a section of a curve, calculated using a long diameter is calculated using Arc Length of Double Cycloid = 4*Long Diameter of Double Cycloid/pi. To calculate Arc Length of Double Cycloid given Long Diameter, you need Long Diameter of Double Cycloid (D_Long). With our tool, you need to enter the respective value for Long Diameter of Double 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 Double Cycloid?

In this formula, Arc Length of Double Cycloid uses Long Diameter of Double Cycloid. We can use 4 other way(s) to calculate the same, which is/are as follows -

Arc Length of Double Cycloid = 8*Radius of Circle of Double Cycloid
Arc Length of Double Cycloid = 2*Short Diameter of Double Cycloid
Arc Length of Double Cycloid = Perimeter of Double Cycloid/2
Arc Length of Double Cycloid = 8*sqrt(Area of Double Cycloid/(6*pi))

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