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Base length of cycloid given arc length Solution

STEP 0: Pre-Calculation Summary
Formula Used
base_length = 2*pi*(Arc Length/8)
Tb = 2*pi*(s/8)
This formula uses 1 Constants, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Tb = 2*pi*(s/8) --> 2*pi*(2.4/8)
Evaluating ... ...
Tb = 1.88495559215388
STEP 3: Convert Result to Output's Unit
1.88495559215388 Meter -->1884.95559215388 Millimeter (Check conversion here)
FINAL ANSWER
1884.95559215388 Millimeter <-- Base Length
(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

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 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 arc length Formula

base_length = 2*pi*(Arc Length/8)
Tb = 2*pi*(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 Base length of cycloid given arc length?

Base length of cycloid given arc length calculator uses base_length = 2*pi*(Arc Length/8) to calculate the Base Length, The Base length of cycloid given arc length 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 arc length using this online calculator? To use this online calculator for Base length of cycloid given arc length, enter Arc Length (s) and hit the calculate button. Here is how the Base length of cycloid given arc length calculation can be explained with given input values -> 1884.956 = 2*pi*(2.4/8).

FAQ

What is Base length of cycloid given arc length?
The Base length of cycloid given arc length 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*(s/8) or base_length = 2*pi*(Arc Length/8). Arc length is the distance between two points along a section of a curve.
How to calculate Base length of cycloid given arc length?
The Base length of cycloid given arc length 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*(Arc Length/8). To calculate Base length 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 Base Length?
In this formula, Base Length uses Arc Length. 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*(Height/2)
  • base_length = 2*pi*(Perimeter/((8+(2*pi))))
  • base_length = 2*pi*(sqrt(Area/(3*pi)))
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