Velocity of Follower after Time t for Cycloidal Motion Calculator

✖Angular Velocity of Cam is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion.ⓘ Angular Velocity of Cam [ω]			+10% -10%
✖Stroke of Follower is the maximum distance the follower moves away from the cam's surface during the return stroke in a cam-follower mechanism.ⓘ Stroke of Follower [S]			+10% -10%
✖Angular Displacement of Cam during Out Stroke is the rotation of the cam during the outward movement of the cam follower in a mechanical system.ⓘ Angular Displacement of Cam during Out Stroke [θ_o]			+10% -10%
✖Angle through Cam Rotates is the angle through which the cam rotates to move the follower in a specific path, controlling the follower's motion.ⓘ Angle through Cam Rotates [θ_rotation]			+10% -10%

✖Velocity is the speed at which the follower moves in a specific direction, typically measured in meters per second, in a cam and follower mechanism.ⓘ Velocity of Follower after Time t for Cycloidal Motion [v]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Cam and Follower Formulas PDF PDF Image

Velocity of Follower after Time t for Cycloidal Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = (Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through Cam Rotates)/(Angular Displacement of Cam during Out Stroke)))
v = (ω*S)/θ_o*(1-cos((2*pi*θ_rotation)/(θ_o)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Velocity - (Measured in Meter per Second) - Velocity is the speed at which the follower moves in a specific direction, typically measured in meters per second, in a cam and follower mechanism.
Angular Velocity of Cam - (Measured in Radian per Second) - Angular Velocity of Cam is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion.
Stroke of Follower - (Measured in Meter) - Stroke of Follower is the maximum distance the follower moves away from the cam's surface during the return stroke in a cam-follower mechanism.
Angular Displacement of Cam during Out Stroke - (Measured in Radian) - Angular Displacement of Cam during Out Stroke is the rotation of the cam during the outward movement of the cam follower in a mechanical system.
Angle through Cam Rotates - (Measured in Radian) - Angle through Cam Rotates is the angle through which the cam rotates to move the follower in a specific path, controlling the follower's motion.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity of Cam: 27 Radian per Second --> 27 Radian per Second No Conversion Required
Stroke of Follower: 20 Meter --> 20 Meter No Conversion Required
Angular Displacement of Cam during Out Stroke: 1.396 Radian --> 1.396 Radian No Conversion Required
Angle through Cam Rotates: 0.349 Radian --> 0.349 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = (ω*S)/θ_o*(1-cos((2*pi*θ_rotation)/(θ_o))) --> (27*20)/1.396*(1-cos((2*pi*0.349)/(1.396)))

Evaluating ... ...

v = 386.819484240688

STEP 3: Convert Result to Output's Unit

386.819484240688 Meter per Second --> No Conversion Required

FINAL ANSWER

386.819484240688 ≈ 386.8195 Meter per Second <-- Velocity

(Calculation completed in 00.008 seconds)

You are here -

Home » Physics » Theory of Machine » Cams » Cam and Follower » Mechanical » Follower Motion » Velocity of Follower after Time t for Cycloidal Motion

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Follower Motion Calculators

Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower

LaTeX Go Peripheral Speed = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam during Out Stroke)

Peripheral Speed of Projection of Point P on Diameter for SHM of Follower

LaTeX Go Peripheral Speed = (pi*Stroke of Follower)/(2*Time Required for the Outstroke)

Time Required for Out Stroke of Follower when Follower Moves with SHM

LaTeX Go Time Required for the Outstroke = Angular Displacement of Cam during Out Stroke/Angular Velocity of Cam

Mean Velocity of Follower during Return Stroke at Uniform Acceleration

LaTeX Go Mean Velocity = Stroke of Follower/Time Required for the Return Stroke

Velocity of Follower after Time t for Cycloidal Motion Formula

LaTeX Go

What is Cycloidal Motion?

In geometry, a cycloid is a 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.

How to Calculate Velocity of Follower after Time t for Cycloidal Motion?

Velocity of Follower after Time t for Cycloidal Motion calculator uses Velocity = (Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through Cam Rotates)/(Angular Displacement of Cam during Out Stroke))) to calculate the Velocity, Velocity of Follower after Time t for Cycloidal Motion formula is defined as the measure of the velocity of the follower in a cam and follower system, which undergoes cycloidal motion, describing the motion of the follower as it rotates and translates in a circular path. Velocity is denoted by v symbol.

How to calculate Velocity of Follower after Time t for Cycloidal Motion using this online calculator? To use this online calculator for Velocity of Follower after Time t for Cycloidal Motion, enter Angular Velocity of Cam (ω), Stroke of Follower (S), Angular Displacement of Cam during Out Stroke (θ_o) & Angle through Cam Rotates (θ_rotation) and hit the calculate button. Here is how the Velocity of Follower after Time t for Cycloidal Motion calculation can be explained with given input values -> 386.8195 = (27*20)/1.396*(1-cos((2*pi*0.349)/(1.396))).

FAQ

What is Velocity of Follower after Time t for Cycloidal Motion?

Velocity of Follower after Time t for Cycloidal Motion formula is defined as the measure of the velocity of the follower in a cam and follower system, which undergoes cycloidal motion, describing the motion of the follower as it rotates and translates in a circular path and is represented as v = (ω*S)/θ_o*(1-cos((2*pi*θ_rotation)/(θ_o))) or Velocity = (Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through Cam Rotates)/(Angular Displacement of Cam during Out Stroke))). Angular Velocity of Cam is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion, Stroke of Follower is the maximum distance the follower moves away from the cam's surface during the return stroke in a cam-follower mechanism, Angular Displacement of Cam during Out Stroke is the rotation of the cam during the outward movement of the cam follower in a mechanical system & Angle through Cam Rotates is the angle through which the cam rotates to move the follower in a specific path, controlling the follower's motion.

How to calculate Velocity of Follower after Time t for Cycloidal Motion?

Velocity of Follower after Time t for Cycloidal Motion formula is defined as the measure of the velocity of the follower in a cam and follower system, which undergoes cycloidal motion, describing the motion of the follower as it rotates and translates in a circular path is calculated using Velocity = (Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through Cam Rotates)/(Angular Displacement of Cam during Out Stroke))). To calculate Velocity of Follower after Time t for Cycloidal Motion, you need Angular Velocity of Cam (ω), Stroke of Follower (S), Angular Displacement of Cam during Out Stroke (θ_o) & Angle through Cam Rotates (θ_rotation). With our tool, you need to enter the respective value for Angular Velocity of Cam, Stroke of Follower, Angular Displacement of Cam during Out Stroke & Angle through Cam Rotates 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 Velocity?

In this formula, Velocity uses Angular Velocity of Cam, Stroke of Follower, Angular Displacement of Cam during Out Stroke & Angle through Cam Rotates. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity = Angular Velocity of Cam*(Radius of Circular Flank-Radius of the Base Circle)*sin(Angle Turned by Cam)

Home

FREE PDFs

🔍 Search