Long Diameter of Double Cycloid given Arc Length Calculator

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

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✖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 given Arc Length [D_Long]

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Long Diameter of Double Cycloid given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Double Cycloid: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_Long = pi/4*l_Arc --> pi/4*16

Evaluating ... ...

D_Long = 12.5663706143592

STEP 3: Convert Result to Output's Unit

12.5663706143592 Meter --> No Conversion Required

FINAL ANSWER

12.5663706143592 ≈ 12.56637 Meter <-- Long Diameter of Double Cycloid

(Calculation completed in 00.006 seconds)

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St Joseph's College (SJC), Bengaluru

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< Long Diameter of Double Cycloid Calculators

Long Diameter of Double Cycloid

LaTeX Go Long Diameter of Double Cycloid = 2*pi*Radius of Circle of Double Cycloid

Long Diameter of Double Cycloid given Short Diameter

LaTeX Go Long Diameter of Double Cycloid = pi/2*Short Diameter of Double Cycloid

Long Diameter of Double Cycloid given Arc Length

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

Long Diameter of Double Cycloid given Perimeter

LaTeX Go Long Diameter of Double Cycloid = pi/8*Perimeter of Double Cycloid

Long Diameter of Double Cycloid given Arc Length Formula

LaTeX Go

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

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 Long Diameter of Double Cycloid given Arc Length?

Long Diameter of Double Cycloid given Arc Length calculator uses Long Diameter of Double Cycloid = pi/4*Arc Length of Double Cycloid to calculate the Long Diameter of Double Cycloid, The Long Diameter of Double Cycloid given Arc Length formula is defined as measure of the distance of the long straight line passing from side to side through the center of Double Cycloid, calculated using arc length. Long Diameter of Double Cycloid is denoted by D_Long symbol.

How to calculate Long Diameter of Double Cycloid given Arc Length using this online calculator? To use this online calculator for Long Diameter of Double Cycloid given Arc Length, enter Arc Length of Double Cycloid (l_Arc) and hit the calculate button. Here is how the Long Diameter of Double Cycloid given Arc Length calculation can be explained with given input values -> 12.56637 = pi/4*16.

FAQ

What is Long Diameter of Double Cycloid given Arc Length?

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

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

The Long Diameter of Double Cycloid given Arc Length formula is defined as measure of the distance of the long straight line passing from side to side through the center of Double Cycloid, calculated using arc length is calculated using Long Diameter of Double Cycloid = pi/4*Arc Length of Double Cycloid. To calculate Long Diameter of Double Cycloid given Arc Length, you need Arc Length of Double Cycloid (l_Arc). With our tool, you need to enter the respective value for Arc Length 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 Long Diameter of Double Cycloid?

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

Long Diameter of Double Cycloid = 2*pi*Radius of Circle of Double Cycloid
Long Diameter of Double Cycloid = pi/2*Short Diameter of Double Cycloid
Long Diameter of Double Cycloid = pi/8*Perimeter of Double Cycloid

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