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Arc length of cycloid given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
arc_length = 8*(Height/2)
s = 8*(h/2)
This formula uses 1 Variables
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = 8*(h/2) --> 8*(12/2)
Evaluating ... ...
s = 48
STEP 3: Convert Result to Output's Unit
48 Meter --> No Conversion Required
FINAL ANSWER
48 Meter <-- Arc Length
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go

11 Other formulas that calculate the same Output

Arc length of the circle when central angle and radius are given
arc_length = (pi*Radius*Central Angle)/(180*pi/180) Go
Length of arc when central angle and radius are given
arc_length = (pi*Radius*Central Angle)/(180*pi/180) Go
Arc Length
arc_length = 2*pi*Radius*(Angle A/360) Go
Length of arc when area of quadrant is given
arc_length = 2*pi*(Area/pi)^(0.5) Go
Length of arc when area and corresponding angle are given
arc_length = (Area/pi)*Angle A Go
Arc length from Radius and Arc Angle
arc_length = radius of circle*Subtended Angle in Radians Go
Length of arc when radius and corresponding angle are given
arc_length = Radius*Angle A Go
Arc of a semicircle
arc_length = pi*Radius Go
Length of arc intercepted by tangent chord angle
arc_length = 2*Inscribed Angle Go
Length of arc intercepted by inscribed angle
arc_length = 2*Inscribed Angle Go
Length of arc intercepted by central angle
arc_length = Central Angle Go

Arc length of cycloid given height Formula

arc_length = 8*(Height/2)
s = 8*(h/2)

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 = 8*(Height/2) to calculate the Arc Length, The Arc length of cycloid given height formula is defined as the distance between two points along a section of a curve, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of cycloid, a = radius of cycloid. Arc Length and is denoted by s 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 (h) and hit the calculate button. Here is how the Arc length of cycloid given height calculation can be explained with given input values -> 48 = 8*(12/2).

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, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of cycloid, a = radius of cycloid and is represented as s = 8*(h/2) or arc_length = 8*(Height/2). Height is the distance between the lowest and highest points of a person standing upright.
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, determining the length of an irregular arc segment is also called rectification of a curve, where b = arc length of cycloid, a = radius of cycloid is calculated using arc_length = 8*(Height/2). To calculate Arc length of cycloid given height, you need Height (h). With our tool, you need to enter the respective value for Height 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?
In this formula, Arc Length uses Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • arc_length = 2*pi*Radius*(Angle A/360)
  • arc_length = (pi*Radius*Central Angle)/(180*pi/180)
  • arc_length = (pi*Radius*Central Angle)/(180*pi/180)
  • arc_length = radius of circle*Subtended Angle in Radians
  • arc_length = pi*Radius
  • arc_length = Central Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = 2*Inscribed Angle
  • arc_length = Radius*Angle A
  • arc_length = 2*pi*(Area/pi)^(0.5)
  • arc_length = (Area/pi)*Angle A
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