Credits

St Joseph's College (St Joseph's College), Bengaluru
Mona Gladys has created this Calculator and 1000+ more calculators!
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1000+ more calculators!

Height of cycloid given arc length Solution

STEP 0: Pre-Calculation Summary
Formula Used
height = 2*(Arc Length/8)
h = 2*(s/8)
This formula uses 1 Variables
Variables Used
Arc Length - Arc length is the distance between two points along a section of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Arc Length: 2.4 Meter --> 2.4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = 2*(s/8) --> 2*(2.4/8)
Evaluating ... ...
h = 0.6
STEP 3: Convert Result to Output's Unit
0.6 Meter --> No Conversion Required
FINAL ANSWER
0.6 Meter <-- Height
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Arc Angle from Arc length and Radius
theta = (pi*Arc Length)/(radius of circle*180*pi/180) Go
Radius of Circle from Arc Angle and Arc Length
radius_of_circle = Arc Length/Subtended Angle in Radians Go
Sector angle from radius and Arc length
subtended_angle_in_radians = Arc Length/radius of circle Go
Sector Area from Arc length and Radius
area_of_sector = (Arc Length*radius of circle)/2 Go
Relation in voltage and arc length
voltage = Constant Of The DC Machine*Arc Length Go
Perimeter Of Sector
perimeter_of_sector = Arc Length+2*Radius Go
Arc measure
arc_measure = Arc Length/Radius Go
Area of a Sector
area = (Radius*Arc Length)/2 Go
Radius of semicircle given arc
radius = Arc Length/pi Go
Angle inscribed by given arc
inscribed_angle = Arc Length/2 Go
Central angle when measure of arc intercepted is given
central_angle = 1*Arc Length Go

11 Other formulas that calculate the same Output

Height of a triangular prism when lateral surface area is given
height = Lateral Surface Area/(Side A+Side B+Side C) Go
Height of an isosceles trapezoid
height = sqrt(Side C^2-0.25*(Side A-Side B)^2) Go
Altitude of an isosceles triangle
height = sqrt((Side A)^2+((Side B)^2/4)) Go
Height of a triangular prism when base and volume are given
height = (2*Volume)/(Base*Length) Go
Height of a trapezoid when area and sum of parallel sides are given
height = (2*Area)/Sum of parallel sides of a trapezoid Go
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
height = 4*Radius of Sphere/3 Go
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
height = 4*Radius of Sphere/3 Go
Height of Cone circumscribing a sphere such that volume of cone is minimum
height = 4*Radius of Sphere Go
Height of parabolic section that can be cut from a cone for maximum area of parabolic section
height = 0.75*Slant Height Go
Height of a circular cylinder of maximum convex surface area in a given circular cone
height = Height of Cone/2 Go
Height of Largest right circular cylinder that can be inscribed within a cone
height = Height of Cone/3 Go

Height of cycloid given arc length Formula

height = 2*(Arc Length/8)
h = 2*(s/8)

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 = 2*(Arc Length/8) to calculate the Height, The Height of cycloid given arc length formula is defined as the measure of vertical distance from one top to bottom face of cycloid, where h = height of cycloid , a = radius of cycloid. Height and 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 (s) and hit the calculate button. Here is how the Height of cycloid given arc length calculation can be explained with given input values -> 0.6 = 2*(2.4/8).

FAQ

What is Height of cycloid given arc length?
The Height of cycloid given arc length formula is defined as the measure of vertical distance from one top to bottom face of cycloid, where h = height of cycloid , a = radius of cycloid and is represented as h = 2*(s/8) or height = 2*(Arc Length/8). Arc length 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 vertical distance from one top to bottom face of cycloid, where h = height of cycloid , a = radius of cycloid is calculated using height = 2*(Arc Length/8). To calculate Height of cycloid given arc length, you need Arc Length (s). With our tool, you need to enter the respective value for Arc Length 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?
In this formula, Height uses Arc Length. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • height = 4*Radius of Sphere/3
  • height = 4*Radius of Sphere
  • height = Height of Cone/3
  • height = 4*Radius of Sphere/3
  • height = Height of Cone/2
  • height = 0.75*Slant Height
  • height = sqrt(Side C^2-0.25*(Side A-Side B)^2)
  • height = (2*Area)/Sum of parallel sides of a trapezoid
  • height = sqrt((Side A)^2+((Side B)^2/4))
  • height = (2*Volume)/(Base*Length)
  • height = Lateral Surface Area/(Side A+Side B+Side C)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!