Height 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 Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid.ⓘ Height of Cycloid given Perimeter [h]

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Height of Cycloid given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi))
h = (2*P)/(8+(2*pi))
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Height of Cycloid - (Measured in Meter) - The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of 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

h = (2*P)/(8+(2*pi)) --> (2*70)/(8+(2*pi))

Evaluating ... ...

h = 9.80173518645225

STEP 3: Convert Result to Output's Unit

9.80173518645225 Meter --> No Conversion Required

FINAL ANSWER

9.80173518645225 ≈ 9.801735 Meter <-- Height of Cycloid

(Calculation completed in 00.011 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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< Height of Cycloid Calculators

Height of Cycloid given Perimeter

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

Height of Cycloid given Base Length

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

Height of Cycloid

LaTeX Go Height of Cycloid = 2*Radius of Circle of Cycloid

Height of Cycloid given Arc Length

LaTeX Go Height of Cycloid = Arc Length of Cycloid/4

Height of Cycloid given Perimeter Formula

LaTeX Go

Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi))
h = (2*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 Height of Cycloid given Perimeter?

Height of Cycloid given Perimeter calculator uses Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi)) to calculate the Height of Cycloid, The Height of Cycloid given Perimeter formula is defined as the measure of vertical distance from one top to bottom face of Cycloid, calculated using its perimeter. Height of Cycloid is denoted by h symbol.

How to calculate Height of Cycloid given Perimeter using this online calculator? To use this online calculator for Height of Cycloid given Perimeter, enter Perimeter of Cycloid (P) and hit the calculate button. Here is how the Height of Cycloid given Perimeter calculation can be explained with given input values -> 9.801735 = (2*70)/(8+(2*pi)).

FAQ

What is Height of Cycloid given Perimeter?

The Height of Cycloid given Perimeter formula is defined as the measure of vertical distance from one top to bottom face of Cycloid, calculated using its perimeter and is represented as h = (2*P)/(8+(2*pi)) or Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi)). The Perimeter of Cycloid is the total distance around the edge of the Cycloid.

How to calculate Height of Cycloid given Perimeter?

The Height of Cycloid given Perimeter formula is defined as the measure of vertical distance from one top to bottom face of Cycloid, calculated using its perimeter is calculated using Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi)). To calculate Height 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 Height of Cycloid?

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

Height of Cycloid = 2*Radius of Circle of Cycloid
Height of Cycloid = Arc Length of Cycloid/4
Height of Cycloid = Base Length of Cycloid/pi

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