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

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Height of Cycloid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cycloid = 2*Radius of Circle of Cycloid
h = 2*r_Circle
This formula uses 2 Variables

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.
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

h = 2*r_Circle --> 2*5

Evaluating ... ...

h = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Height of Cycloid

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Mridul Sharma

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 Formula

LaTeX Go

Height of Cycloid = 2*Radius of Circle of Cycloid
h = 2*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 Height of Cycloid?

Height of Cycloid calculator uses Height of Cycloid = 2*Radius of Circle of Cycloid to calculate the Height of Cycloid, The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid. Height of Cycloid is denoted by h symbol.

How to calculate Height of Cycloid using this online calculator? To use this online calculator for Height of Cycloid, enter Radius of Circle of Cycloid (r_Circle) and hit the calculate button. Here is how the Height of Cycloid calculation can be explained with given input values -> 10 = 2*5.

FAQ

What is Height of Cycloid?

The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid and is represented as h = 2*r_Circle or Height of Cycloid = 2*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 Height of Cycloid?

The Height of Cycloid formula is defined as the measure of vertical distance from one top to bottom face of Cycloid is calculated using Height of Cycloid = 2*Radius of Circle of Cycloid. To calculate Height 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 Height of Cycloid?

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

Height of Cycloid = Arc Length of Cycloid/4
Height of Cycloid = Base Length of Cycloid/pi
Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi))

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