Height of Cycloid given Base Length Calculator

✖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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✖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 Base Length [h]

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Height of Cycloid given Base Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cycloid = Base Length of Cycloid/pi
h = l_Base/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.
Base Length of Cycloid - (Measured in Meter) - The Base Length of Cycloid is the distance of the base points of the cycloid.

STEP 1: Convert Input(s) to Base Unit

Base Length of Cycloid: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = l_Base/pi --> 30/pi

Evaluating ... ...

h = 9.54929658551372

STEP 3: Convert Result to Output's Unit

9.54929658551372 Meter --> No Conversion Required

FINAL ANSWER

9.54929658551372 ≈ 9.549297 Meter <-- Height of Cycloid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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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 Base Length Formula

LaTeX Go

Height of Cycloid = Base Length of Cycloid/pi
h = l_Base/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 Base Length?

Height of Cycloid given Base Length calculator uses Height of Cycloid = Base Length of Cycloid/pi to calculate the Height of Cycloid, The Height of Cycloid given Base Length formula is defined as the measure of the vertical distance from one top to the bottom face of the cycloid, calculated using its base length. Height of Cycloid is denoted by h symbol.

How to calculate Height of Cycloid given Base Length using this online calculator? To use this online calculator for Height of Cycloid given Base Length, enter Base Length of Cycloid (l_Base) and hit the calculate button. Here is how the Height of Cycloid given Base Length calculation can be explained with given input values -> 9.549297 = 30/pi.

FAQ

What is Height of Cycloid given Base Length?

The Height of Cycloid given Base Length formula is defined as the measure of the vertical distance from one top to the bottom face of the cycloid, calculated using its base length and is represented as h = l_Base/pi or Height of Cycloid = Base Length of Cycloid/pi. The Base Length of Cycloid is the distance of the base points of the cycloid.

How to calculate Height of Cycloid given Base Length?

The Height of Cycloid given Base Length formula is defined as the measure of the vertical distance from one top to the bottom face of the cycloid, calculated using its base length is calculated using Height of Cycloid = Base Length of Cycloid/pi. To calculate Height of Cycloid given Base Length, you need Base Length of Cycloid (l_Base). With our tool, you need to enter the respective value for Base 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 Height of Cycloid?

In this formula, Height of Cycloid uses Base Length 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 = (2*Perimeter of Cycloid)/(8+(2*pi))

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