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Base length of cycloid given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
base_length = 2*pi*(Height/2)
Tb = 2*pi*(h/2)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Tb = 2*pi*(h/2) --> 2*pi*(12/2)
Evaluating ... ...
Tb = 37.6991118430775
STEP 3: Convert Result to Output's Unit
37.6991118430775 Meter -->37699.1118430775 Millimeter (Check conversion here)
FINAL ANSWER
37699.1118430775 Millimeter <-- Base 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

5 Other formulas that calculate the same Output

Base length of cycloid given area
base_length = 2*pi*(sqrt(Area/(3*pi))) Go
Base length of cycloid given perimeter
base_length = 2*pi*(Perimeter/((8+(2*pi)))) Go
Base length of cycloid given arc length
base_length = 2*pi*(Arc Length/8) Go
Base length of cycloid
base_length = 2*pi*Radius Go
Base Length in SCS Triangular Unit Hydrograph
base_length = 2.67*Time of Peak Go

Base length of cycloid given height Formula

base_length = 2*pi*(Height/2)
Tb = 2*pi*(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 Base length of cycloid given height?

Base length of cycloid given height calculator uses base_length = 2*pi*(Height/2) to calculate the Base Length, The Base length of cycloid given height formula is defined as measure of distance of the base points of cycloid , where a = radius of cycloid , c = base length of cycloid. Base Length and is denoted by Tb symbol.

How to calculate Base length of cycloid given height using this online calculator? To use this online calculator for Base length of cycloid given height, enter Height (h) and hit the calculate button. Here is how the Base length of cycloid given height calculation can be explained with given input values -> 37699.11 = 2*pi*(12/2).

FAQ

What is Base length of cycloid given height?
The Base length of cycloid given height formula is defined as measure of distance of the base points of cycloid , where a = radius of cycloid , c = base length of cycloid and is represented as Tb = 2*pi*(h/2) or base_length = 2*pi*(Height/2). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Base length of cycloid given height?
The Base length of cycloid given height formula is defined as measure of distance of the base points of cycloid , where a = radius of cycloid , c = base length of cycloid is calculated using base_length = 2*pi*(Height/2). To calculate Base 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 Base Length?
In this formula, Base Length uses Height. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • base_length = 2.67*Time of Peak
  • base_length = 2*pi*Radius
  • base_length = 2*pi*(Arc Length/8)
  • base_length = 2*pi*(Perimeter/((8+(2*pi))))
  • base_length = 2*pi*(sqrt(Area/(3*pi)))
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