Base Length of Cycloid given Arc Length Calculator

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

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Base Length of Cycloid given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Base Length of Cycloid - (Measured in Meter) - The Base Length of Cycloid is the distance of the base points of the cycloid.
Arc Length of Cycloid - (Measured in Meter) - Arc Length of Cycloid is the distance between two points along a section of a curve.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Cycloid: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Base = pi/4*l_Arc --> pi/4*40

Evaluating ... ...

l_Base = 31.4159265358979

STEP 3: Convert Result to Output's Unit

31.4159265358979 Meter --> No Conversion Required

FINAL ANSWER

31.4159265358979 ≈ 31.41593 Meter <-- Base Length of Cycloid

(Calculation completed in 00.004 seconds)

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< Base Length of Cycloid Calculators

Base Length of Cycloid given Perimeter

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

Base Length of Cycloid

LaTeX Go Base Length of Cycloid = 2*pi*Radius of Circle of Cycloid

Base Length of Cycloid given Arc Length

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

Base Length of Cycloid given Height

LaTeX Go Base Length of Cycloid = pi*Height of Cycloid

Base Length of Cycloid given Arc Length Formula

LaTeX Go

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

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 Base Length of Cycloid given Arc Length?

Base Length of Cycloid given Arc Length calculator uses Base Length of Cycloid = pi/4*Arc Length of Cycloid to calculate the Base Length of Cycloid, The Base Length of Cycloid given Arc Length formula is defined as the measure of the distance of the base points of a Cycloid, calculated using its arc length. Base Length of Cycloid is denoted by l_Base symbol.

How to calculate Base Length of Cycloid given Arc Length using this online calculator? To use this online calculator for Base Length of Cycloid given Arc Length, enter Arc Length of Cycloid (l_Arc) and hit the calculate button. Here is how the Base Length of Cycloid given Arc Length calculation can be explained with given input values -> 31.41593 = pi/4*40.

FAQ

What is Base Length of Cycloid given Arc Length?

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

How to calculate Base Length of Cycloid given Arc Length?

The Base Length of Cycloid given Arc Length formula is defined as the measure of the distance of the base points of a Cycloid, calculated using its arc length is calculated using Base Length of Cycloid = pi/4*Arc Length of Cycloid. To calculate Base Length of Cycloid given Arc Length, you need Arc Length of Cycloid (l_Arc). With our tool, you need to enter the respective value for Arc 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 Base Length of Cycloid?

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

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

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