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

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Base Length of Cycloid given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Base Length of Cycloid = (2*pi*Perimeter of Cycloid)/(8+(2*pi))
l_Base = (2*pi*P)/(8+(2*pi))
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.
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_Base = (2*pi*P)/(8+(2*pi)) --> (2*pi*70)/(8+(2*pi))

Evaluating ... ...

l_Base = 30.793059254191

STEP 3: Convert Result to Output's Unit

30.793059254191 Meter --> No Conversion Required

FINAL ANSWER

30.793059254191 ≈ 30.79306 Meter <-- Base Length of Cycloid

(Calculation completed in 00.004 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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< 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 Perimeter Formula

LaTeX Go

Base Length of Cycloid = (2*pi*Perimeter of Cycloid)/(8+(2*pi))
l_Base = (2*pi*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 Base Length of Cycloid given Perimeter?

Base Length of Cycloid given Perimeter calculator uses Base Length of Cycloid = (2*pi*Perimeter of Cycloid)/(8+(2*pi)) to calculate the Base Length of Cycloid, The Base Length of Cycloid given Perimeter formula is defined as the measure of the distance of the base points of a Cycloid, calculated using its perimeter. Base Length of Cycloid is denoted by l_Base symbol.

How to calculate Base Length of Cycloid given Perimeter using this online calculator? To use this online calculator for Base Length of Cycloid given Perimeter, enter Perimeter of Cycloid (P) and hit the calculate button. Here is how the Base Length of Cycloid given Perimeter calculation can be explained with given input values -> 30.79306 = (2*pi*70)/(8+(2*pi)).

FAQ

What is Base Length of Cycloid given Perimeter?

The Base Length of Cycloid given Perimeter formula is defined as the measure of the distance of the base points of a Cycloid, calculated using its perimeter and is represented as l_Base = (2*pi*P)/(8+(2*pi)) or Base Length of Cycloid = (2*pi*Perimeter of Cycloid)/(8+(2*pi)). The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

How to calculate Base Length of Cycloid given Perimeter?

The Base Length of Cycloid given Perimeter formula is defined as the measure of the distance of the base points of a Cycloid, calculated using its perimeter is calculated using Base Length of Cycloid = (2*pi*Perimeter of Cycloid)/(8+(2*pi)). To calculate Base 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 Base Length of Cycloid?

In this formula, Base Length of Cycloid uses Perimeter 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/4*Arc Length of Cycloid
Base Length of Cycloid = pi*Height of Cycloid

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