Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/4
θrotation = θo/4
This formula uses 2 Variables
Variables Used
Angle through which cam rotates - (Measured in Radian) - The angle through which cam rotates is the angle through which the cam turns while the follower remains stationary at the highest or the lowest position.
Angular Displacement of Cam during Out Stroke - (Measured in Radian) - The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.
STEP 1: Convert Input(s) to Base Unit
Angular Displacement of Cam during Out Stroke: 22 Radian --> 22 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θrotation = θo/4 --> 22/4
Evaluating ... ...
θrotation = 5.5
STEP 3: Convert Result to Output's Unit
5.5 Radian --> No Conversion Required
FINAL ANSWER
5.5 Radian <-- Angle through which cam rotates
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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13 Cam and Follower Calculators

Displacement of Follower after Time t for Cycloidal Motion
Go Displacement = Stroke of Follower*(Angle through which cam rotates/Angular Displacement of Cam during Out Stroke*180/pi-sin((2*pi*Angle through which cam rotates)/(Angular Displacement of Cam during Out Stroke)))
Velocity of Follower after Time t for Cycloidal Motion
Go Velocity = (Angular velocity of cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through which cam rotates)/(Angular Displacement of Cam during Out Stroke)))
Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank
Go Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam)
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)
Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank
Go Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam))
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 by Follower for Return Stroke at Uniform Acceleration
Go Time required for the return stroke = Angular displacement of cam during return stroke/Angular velocity of cam
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
Time Required for Follower during Outstroke for Uniform Acceleration
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
Mean Velocity of Follower during Outstroke at Uniform Acceleration
Go Mean Velocity = Stroke of Follower/Time required for the outstroke
Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion
Go Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/4
Condition for Maximum Velocity of Follower Exhibiting Cycloidal Motion
Go Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/2

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion Formula

Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/4
θrotation = θo/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 which cam rotates = Angular Displacement of Cam during Out Stroke/4 to calculate the Angle through which cam rotates, The Condition for maximum acceleration of follower exhibiting cycloidal motion formula is defined as the relationship between the angle through which the cam rotates and the angular displacement of the cam. Angle through which cam rotates is denoted by θrotation 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 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 = 22/4.

FAQ

What is Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion?
The Condition for maximum acceleration of follower exhibiting cycloidal motion formula is defined as the relationship between the angle through which the cam rotates and the angular displacement of the cam and is represented as θrotation = θo/4 or Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/4. The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.
How to calculate Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion?
The Condition for maximum acceleration of follower exhibiting cycloidal motion formula is defined as the relationship between the angle through which the cam rotates and the angular displacement of the cam is calculated using Angle through which 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 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 which cam rotates?
In this formula, Angle through which 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 which cam rotates = Angular Displacement of Cam during Out Stroke/2
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