Credits

St Joseph's College (St Joseph's College), Bengaluru
Mona Gladys has created this Calculator and 1000+ more calculators!
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1000+ more calculators!

Base length of cycloid given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
base_length = 2*pi*(sqrt(Area/(3*pi)))
Tb = 2*pi*(sqrt(A/(3*pi)))
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tb = 2*pi*(sqrt(A/(3*pi))) --> 2*pi*(sqrt(50/(3*pi)))
Evaluating ... ...
Tb = 14.4720250911654
STEP 3: Convert Result to Output's Unit
14.4720250911654 Meter -->14472.0250911654 Millimeter (Check conversion here)
FINAL ANSWER
14472.0250911654 Millimeter <-- Base Length
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

5 Other formulas that calculate the same Output

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 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 area Formula

base_length = 2*pi*(sqrt(Area/(3*pi)))
Tb = 2*pi*(sqrt(A/(3*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 area?

Base length of cycloid given area calculator uses base_length = 2*pi*(sqrt(Area/(3*pi))) to calculate the Base Length, The Base length of cycloid given area 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 area using this online calculator? To use this online calculator for Base length of cycloid given area, enter Area (A) and hit the calculate button. Here is how the Base length of cycloid given area calculation can be explained with given input values -> 14472.03 = 2*pi*(sqrt(50/(3*pi))).

FAQ

What is Base length of cycloid given area?
The Base length of cycloid given area 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*(sqrt(A/(3*pi))) or base_length = 2*pi*(sqrt(Area/(3*pi))). The area is the amount of two-dimensional space taken up by an object.
How to calculate Base length of cycloid given area?
The Base length of cycloid given area 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*(sqrt(Area/(3*pi))). To calculate Base length of cycloid given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Area. 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*(Perimeter/((8+(2*pi))))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!