Diameter of Cycloid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Cycloid = 2*Particle Cycloidal Path
Dc = 2*R
This formula uses 2 Variables
Variables Used
Diameter of Cycloid - (Measured in Meter) - The Diameter of Cycloid is a straight line segment through the center of a cycloid and whose endpoints lie on the cycloid.
Particle Cycloidal Path - (Measured in Meter) - Particle Cycloidal Path is the path of a charged particle starting from rest in uniform static crossed electric and magnetic fields.
STEP 1: Convert Input(s) to Base Unit
Particle Cycloidal Path: 4E-09 Meter --> 4E-09 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dc = 2*R --> 2*4E-09
Evaluating ... ...
Dc = 8E-09
STEP 3: Convert Result to Output's Unit
8E-09 Meter -->8E-06 Millimeter (Check conversion ​here)
FINAL ANSWER
8E-06 8E-6 Millimeter <-- Diameter of Cycloid
(Calculation completed in 00.020 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Electrostatic Parameters Calculators

Magnetic Deflection Sensitivity
​ Go Magnetic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)*sqrt(([Charge-e]/(2*[Mass-e]*Anode Voltage)))
Electrostatic Deflection Sensitivity
​ Go Electrostatic Deflection Sensitivity = (Length of Deflecting Plates*Cathode Ray Tube Length)/(2*Distance between Deflecting Plates*Anode Voltage)
Radius of Electron on Circular Path
​ Go Radius of Electron = ([Mass-e]*Electron Velocity)/(Magnetic Field Strength*[Charge-e])
Particle Acceleration
​ Go Particle Acceleration = ([Charge-e]*Electric Field Intensity)/[Mass-e]

Diameter of Cycloid Formula

Diameter of Cycloid = 2*Particle Cycloidal Path
Dc = 2*R

What is a Cycloid?

A cycloid is the curve traced by a point on a circle as it rolls along a straight line without slipping. It is also the form of a curve for which the period of a particle in simple harmonic motion (rolling up and down continuously) along the curve does not depend on the particle's starting position.

How to Calculate Diameter of Cycloid?

Diameter of Cycloid calculator uses Diameter of Cycloid = 2*Particle Cycloidal Path to calculate the Diameter of Cycloid, The Diameter of Cycloid can be determined as twice the path of a particle in a cycloidal plane where electric and magnetic fields are acted on that particle which the particle generated some velocity in both the fields and some angular velocity in the magnetic field. Diameter of Cycloid is denoted by Dc symbol.

How to calculate Diameter of Cycloid using this online calculator? To use this online calculator for Diameter of Cycloid, enter Particle Cycloidal Path (R) and hit the calculate button. Here is how the Diameter of Cycloid calculation can be explained with given input values -> 0.008 = 2*4E-09.

FAQ

What is Diameter of Cycloid?
The Diameter of Cycloid can be determined as twice the path of a particle in a cycloidal plane where electric and magnetic fields are acted on that particle which the particle generated some velocity in both the fields and some angular velocity in the magnetic field and is represented as Dc = 2*R or Diameter of Cycloid = 2*Particle Cycloidal Path. Particle Cycloidal Path is the path of a charged particle starting from rest in uniform static crossed electric and magnetic fields.
How to calculate Diameter of Cycloid?
The Diameter of Cycloid can be determined as twice the path of a particle in a cycloidal plane where electric and magnetic fields are acted on that particle which the particle generated some velocity in both the fields and some angular velocity in the magnetic field is calculated using Diameter of Cycloid = 2*Particle Cycloidal Path. To calculate Diameter of Cycloid, you need Particle Cycloidal Path (R). With our tool, you need to enter the respective value for Particle Cycloidal Path and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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