Arc Length of Cycloid given Height 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 [h]

+10%

-10%

✖Arc Length of Cycloid is the distance between two points along a section of a curve.ⓘ Arc Length of Cycloid given Height [l_Arc]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cycloid Formulas PDF PDF Image

Arc Length of Cycloid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Cycloid = 4*Height of Cycloid
l_Arc = 4*h
This formula uses 2 Variables

Variables Used

Arc Length of Cycloid - (Measured in Meter) - Arc Length of Cycloid is the distance between two points along a section of a curve.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Cycloid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = 4*h --> 4*10

Evaluating ... ...

l_Arc = 40

STEP 3: Convert Result to Output's Unit

40 Meter --> No Conversion Required

FINAL ANSWER

40 Meter <-- Arc Length of Cycloid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Cycloid » Length of Cycloid » Arc Length of Cycloid » Arc Length of Cycloid given Height

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Arc Length of Cycloid Calculators

Arc Length of Cycloid given Perimeter

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

Arc Length of Cycloid given Base Length

LaTeX Go Arc Length of Cycloid = (4*Base Length of Cycloid)/pi

Arc Length of Cycloid

LaTeX Go Arc Length of Cycloid = 8*Radius of Circle of Cycloid

Arc Length of Cycloid given Height

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

Arc Length of Cycloid given Height Formula

LaTeX Go

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

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 Arc Length of Cycloid given Height?

Arc Length of Cycloid given Height calculator uses Arc Length of Cycloid = 4*Height of Cycloid to calculate the Arc Length of Cycloid, The Arc Length of Cycloid given Height formula is defined as the distance between two points along a section of a curve, calculated using its height. Arc Length of Cycloid is denoted by l_Arc symbol.

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

FAQ

What is Arc Length of Cycloid given Height?

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

How to calculate Arc Length of Cycloid given Height?

The Arc Length of Cycloid given Height formula is defined as the distance between two points along a section of a curve, calculated using its height is calculated using Arc Length of Cycloid = 4*Height of Cycloid. To calculate Arc Length of Cycloid given Height, you need Height of Cycloid (h). With our tool, you need to enter the respective value for Height 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 Arc Length of Cycloid?

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

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

Home

FREE PDFs

🔍 Search