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Base length of cycloid given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
base_length = 2*pi*(Perimeter/((8+(2*pi))))
Tb = 2*pi*(P/((8+(2*pi))))
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tb = 2*pi*(P/((8+(2*pi)))) --> 2*pi*(20/((8+(2*pi))))
Evaluating ... ...
Tb = 8.79801692976885
STEP 3: Convert Result to Output's Unit
8.79801692976885 Meter -->8798.01692976885 Millimeter (Check conversion here)
FINAL ANSWER
8798.01692976885 Millimeter <-- Base Length
(Calculation completed in 00.017 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and perimeter are given
diagonal = sqrt((2*(Breadth)^2)-(Perimeter*Breadth)+((Perimeter)^2/4)) Go
Diagonal of a Rectangle when length and perimeter are given
diagonal = sqrt((2*(Length)^2)-(Perimeter*Length)+((Perimeter)^2/4)) Go
Area of a Rectangle when breadth and perimeter are given
area = (Perimeter*(Breadth/2))-(Breadth)^2 Go
Area of rectangle when perimeter and breadth are given
area = (Perimeter*Breadth-2*(Breadth)^2)/2 Go
Area of a Rectangle when length and perimeter are given
area = (Perimeter*(Length/2))-(Length)^2 Go
Area of rectangle when perimeter and length are given
area = (Perimeter*Length-2*(Length)^2)/2 Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Breadth of rectangle when perimeter and length are given
breadth = (Perimeter-2*Length)/2 Go
Diagonal of a Square when perimeter is given
diagonal = (Perimeter/4)*sqrt(2) Go
Side of a Kite when other side and perimeter are given
side_a = (Perimeter/2)-Side B Go
Area of a Square when perimeter is given
area = (1/16)*(Perimeter)^2 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 arc length
base_length = 2*pi*(Arc Length/8) Go
Base length of cycloid given height
base_length = 2*pi*(Height/2) 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 perimeter Formula

base_length = 2*pi*(Perimeter/((8+(2*pi))))
Tb = 2*pi*(P/((8+(2*pi))))

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 perimeter?

Base length of cycloid given perimeter calculator uses base_length = 2*pi*(Perimeter/((8+(2*pi)))) to calculate the Base Length, The Base length of cycloid given perimeter 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 perimeter using this online calculator? To use this online calculator for Base length of cycloid given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Base length of cycloid given perimeter calculation can be explained with given input values -> 8798.017 = 2*pi*(20/((8+(2*pi)))).

FAQ

What is Base length of cycloid given perimeter?
The Base length of cycloid given perimeter 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*(P/((8+(2*pi)))) or base_length = 2*pi*(Perimeter/((8+(2*pi)))). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Base length of cycloid given perimeter?
The Base length of cycloid given perimeter 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*(Perimeter/((8+(2*pi)))). To calculate Base length of cycloid given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter. 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*(Height/2)
  • base_length = 2*pi*(sqrt(Area/(3*pi)))
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