Base Length of Cycloid Calculator

✖Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.ⓘ Radius of Circle of Cycloid [r_Circle]

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✖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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Base Length of Cycloid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Length of Cycloid = 2*pi*Radius of Circle of Cycloid
l_Base = 2*pi*r_Circle
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.
Radius of Circle of Cycloid - (Measured in Meter) - Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.

STEP 1: Convert Input(s) to Base Unit

Radius of Circle of Cycloid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Base = 2*pi*r_Circle --> 2*pi*5

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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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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< 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 Formula

LaTeX Go

Base Length of Cycloid = 2*pi*Radius of Circle of Cycloid
l_Base = 2*pi*r_Circle

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?

Base Length of Cycloid calculator uses Base Length of Cycloid = 2*pi*Radius of Circle of Cycloid to calculate the Base Length of Cycloid, The Base Length of Cycloid formula is defined as the measure of the distance of the base points of a Cycloid. Base Length of Cycloid is denoted by l_Base symbol.

How to calculate Base Length of Cycloid using this online calculator? To use this online calculator for Base Length of Cycloid, enter Radius of Circle of Cycloid (r_Circle) and hit the calculate button. Here is how the Base Length of Cycloid calculation can be explained with given input values -> 31.41593 = 2*pi*5.

FAQ

What is Base Length of Cycloid?

The Base Length of Cycloid formula is defined as the measure of the distance of the base points of a Cycloid and is represented as l_Base = 2*pi*r_Circle or Base Length of Cycloid = 2*pi*Radius of Circle of Cycloid. Radius of Circle of Cycloid is a radial line from the focus to any point of a curve of Cycloid.

How to calculate Base Length of Cycloid?

The Base Length of Cycloid formula is defined as the measure of the distance of the base points of a Cycloid is calculated using Base Length of Cycloid = 2*pi*Radius of Circle of Cycloid. To calculate Base Length of Cycloid, you need Radius of Circle of Cycloid (r_Circle). With our tool, you need to enter the respective value for Radius of Circle 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 Radius of Circle of Cycloid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Base Length of Cycloid = pi/4*Arc Length 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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