Height of Cycloid given Arc Length Calculator

✖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 Arc Length [h]

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Formula

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Height of Cycloid given Arc Length

Formula

`"h" = "l"_{"Arc"}/4`

Example

`"10m"="40m"/4`

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Height of Cycloid given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Cycloid = Arc Length of Cycloid/4
h = l_Arc/4
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.
Arc Length of Cycloid - (Measured in Meter) - Arc Length of Cycloid is the distance between two points along a section of a curve.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Cycloid: 40 Meter --> 40 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = l_Arc/4 --> 40/4

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 00.014 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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< 5 Height of Cycloid Calculators

Height of Cycloid given Area

Go Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi))

Height of Cycloid given Perimeter

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

Height of Cycloid given Base Length

Go Height of Cycloid = Base Length of Cycloid/pi

Height of Cycloid

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

Height of Cycloid given Arc Length

Go Height of Cycloid = Arc Length of Cycloid/4

Height of Cycloid given Arc Length Formula

Height of Cycloid = Arc Length of Cycloid/4
h = l_Arc/4

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 Arc Length?

Height of Cycloid given Arc Length calculator uses Height of Cycloid = Arc Length of Cycloid/4 to calculate the Height of Cycloid, The Height of Cycloid given Arc Length formula is defined as the measure of the vertical distance from one top to bottom face of a cycloid, calculated using its arc length. Height of Cycloid is denoted by h symbol.

How to calculate Height of Cycloid given Arc Length using this online calculator? To use this online calculator for Height of Cycloid given Arc Length, enter Arc Length of Cycloid (l_Arc) and hit the calculate button. Here is how the Height of Cycloid given Arc Length calculation can be explained with given input values -> 10 = 40/4.

FAQ

What is Height of Cycloid given Arc Length?

The Height of Cycloid given Arc Length formula is defined as the measure of the vertical distance from one top to bottom face of a cycloid, calculated using its arc length and is represented as h = l_Arc/4 or Height of Cycloid = Arc Length of Cycloid/4. Arc Length of Cycloid is the distance between two points along a section of a curve.

How to calculate Height of Cycloid given Arc Length?

The Height of Cycloid given Arc Length formula is defined as the measure of the vertical distance from one top to bottom face of a cycloid, calculated using its arc length is calculated using Height of Cycloid = Arc Length of Cycloid/4. To calculate Height of Cycloid given Arc Length, you need Arc Length of Cycloid (l_Arc). With our tool, you need to enter the respective value for Arc 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 Arc Length of Cycloid. We can use 4 other way(s) to calculate the same, which is/are as follows -

Height of Cycloid = 2*Radius of Circle of Cycloid
Height of Cycloid = Base Length of Cycloid/pi
Height of Cycloid = (2*Perimeter of Cycloid)/(8+(2*pi))
Height of Cycloid = 2*sqrt(Area of Cycloid/(3*pi))

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