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Perimeter of cycloid given base length Solution

STEP 0: Pre-Calculation Summary
Formula Used
perimeter = (Base Length/(2*pi))*(8+(2*pi))
P = (Tb/(2*pi))*(8+(2*pi))
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Base Length - Base Length in SCS Triangular Unit Hydrograph. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Base Length: 10 Millimeter --> 0.01 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (Tb/(2*pi))*(8+(2*pi)) --> (0.01/(2*pi))*(8+(2*pi))
Evaluating ... ...
P = 0.0227323954473516
STEP 3: Convert Result to Output's Unit
0.0227323954473516 Meter --> No Conversion Required
FINAL ANSWER
0.0227323954473516 Meter <-- Perimeter
(Calculation completed in 00.016 seconds)

5 Other formulas that you can solve using the same Inputs

Area of cycloid given base length
area = 3*pi*(Base Length/(2*pi))^2 Go
Arc length of cycloid given base length
arc_length = 8*(Base Length/(2*pi)) Go
Height of cycloid given base length
height = 2*(Base Length/(2*pi)) Go
Radius of circle of cycloid given base length
radius = Base Length/(2*pi) Go
Time of Peak when Base Length is Given
time_of_peak = Base Length/2.67 Go

11 Other formulas that calculate the same Output

Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Perimeter of a rectangle when diagonal and length are given
perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2)) Go
Perimeter Of Parallelepiped
perimeter = 4*Side A+4*Side B+4*Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of a rectangle when length and width are given
perimeter = 2*Length+2*Width Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B Go
Perimeter of a Cube
perimeter = 12*Side Go
Perimeter of a square when side is given
perimeter = 4*Side Go
Perimeter of an Equilateral Triangle
perimeter = 3*Side Go
Perimeter of a Rhombus
perimeter = 4*Side Go

Perimeter of cycloid given base length Formula

perimeter = (Base Length/(2*pi))*(8+(2*pi))
P = (Tb/(2*pi))*(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 Perimeter of cycloid given base length?

Perimeter of cycloid given base length calculator uses perimeter = (Base Length/(2*pi))*(8+(2*pi)) to calculate the Perimeter, The Perimeter of cycloid given base length formula is defined as the outermost parts or boundary of a concave pentagon, where p = perimeter of cycloid, a = radius of cycloid. Perimeter and is denoted by P symbol.

How to calculate Perimeter of cycloid given base length using this online calculator? To use this online calculator for Perimeter of cycloid given base length, enter Base Length (Tb) and hit the calculate button. Here is how the Perimeter of cycloid given base length calculation can be explained with given input values -> 0.022732 = (0.01/(2*pi))*(8+(2*pi)).

FAQ

What is Perimeter of cycloid given base length?
The Perimeter of cycloid given base length formula is defined as the outermost parts or boundary of a concave pentagon, where p = perimeter of cycloid, a = radius of cycloid and is represented as P = (Tb/(2*pi))*(8+(2*pi)) or perimeter = (Base Length/(2*pi))*(8+(2*pi)). Base Length in SCS Triangular Unit Hydrograph. .
How to calculate Perimeter of cycloid given base length?
The Perimeter of cycloid given base length formula is defined as the outermost parts or boundary of a concave pentagon, where p = perimeter of cycloid, a = radius of cycloid is calculated using perimeter = (Base Length/(2*pi))*(8+(2*pi)). To calculate Perimeter of cycloid given base length, you need Base Length (Tb). With our tool, you need to enter the respective value for Base 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 Perimeter?
In this formula, Perimeter uses Base Length. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • perimeter = 2*Length+2*Width
  • perimeter = 4*Side
  • perimeter = 3*Side
  • perimeter = 2*Side A+2*Side B
  • perimeter = 4*Side
  • perimeter = Side A+2*Side B
  • perimeter = Side A+Side B+sqrt(Side A^2+Side B^2)
  • perimeter = 12*Side
  • perimeter = 2*(Side A+Side B)
  • perimeter = 4*Side A+4*Side B+4*Side C
  • perimeter = 2*(Length+sqrt((Diagonal)^2-(Length)^2))
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