Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion Calculator

✖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.ⓘ Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion [θ_rotation]

⎘ Copy

👎

Formula

✖

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion

Formula

θ rotation = \frac{θ o}{4}

Example

0.349 rad = \frac{1.396 rad}{4}

Calculator

LaTeX

Reset

👍

Download Theory of Machine Formula PDF PDF Image

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle through Cam Rotates = Angular Displacement of Cam during Out Stroke/4
θ_rotation = θ_o/4
This formula uses 2 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Angular Displacement of Cam during Out Stroke: 1.396 Radian --> 1.396 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_rotation = θ_o/4 --> 1.396/4

Evaluating ... ...

θ_rotation = 0.349

STEP 3: Convert Result to Output's Unit

0.349 Radian --> No Conversion Required

FINAL ANSWER

0.349 Radian <-- Angle through Cam Rotates

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Cams » Cam and Follower » Mechanical » Follower Motion » Condition for Maximum Acceleration of Follower Exhibiting 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

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

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

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

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

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion Formula

Angle through Cam Rotates = Angular Displacement of Cam during Out Stroke/4
θ_rotation = θ_o/4

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 Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion?

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion calculator uses Angle through Cam Rotates = Angular Displacement of Cam during Out Stroke/4 to calculate the Angle through Cam Rotates, Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion formula is defined as the critical point at which the follower's acceleration reaches its maximum value during cycloidal motion, typically observed in cam and follower systems, where the rotation of the cam affects the motion of the follower. Angle through Cam Rotates is denoted by θ_rotation symbol.

How to calculate Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion using this online calculator? To use this online calculator for Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion, enter Angular Displacement of Cam during Out Stroke (θ_o) and hit the calculate button. Here is how the Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion calculation can be explained with given input values -> 5.5 = 1.396/4.

FAQ

What is Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion?

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion formula is defined as the critical point at which the follower's acceleration reaches its maximum value during cycloidal motion, typically observed in cam and follower systems, where the rotation of the cam affects the motion of the follower and is represented as θ_rotation = θ_o/4 or Angle through Cam Rotates = Angular Displacement of Cam during Out Stroke/4. 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.

How to calculate Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion?

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion formula is defined as the critical point at which the follower's acceleration reaches its maximum value during cycloidal motion, typically observed in cam and follower systems, where the rotation of the cam affects the motion of the follower is calculated using Angle through Cam Rotates = Angular Displacement of Cam during Out Stroke/4. To calculate Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion, you need Angular Displacement of Cam during Out Stroke (θ_o). With our tool, you need to enter the respective value for Angular Displacement of Cam during Out Stroke 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 Angle through Cam Rotates?

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

Angle through Cam Rotates = Angular Displacement of Cam during Out Stroke/2

Home

FREE PDFs

🔍 Search