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Maximum Acceleration is the rate of change of the velocity of an object with respect to time. Check FAQs
amax=2πω2Sθo2
amax - Maximum Acceleration?ω - Angular Velocity of Cam?S - Stroke of Follower?θo - Angular Displacement of Cam During Out Stroke?π - Archimedes' constant?

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Example

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Here is how the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion equation looks like with Values.

Here is how the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion equation looks like with Units.

Here is how the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion equation looks like.

189.2745Edit=23.141627Edit220Edit22Edit2
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Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Solution

Follow our step by step solution on how to calculate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

FIRST Step Consider the formula
amax=2πω2Sθo2
Next Step Substitute values of Variables
amax=2π27rad/s220m22rad2
Next Step Substitute values of Constants
amax=23.141627rad/s220m22rad2
Next Step Prepare to Evaluate
amax=23.141627220222
Next Step Evaluate
amax=189.274466484873m/s²
LAST Step Rounding Answer
amax=189.2745m/s²

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Formula Elements

Variables
Constants
Maximum Acceleration
Maximum Acceleration is the rate of change of the velocity of an object with respect to time.
Symbol: amax
Measurement: AccelerationUnit: m/s²
Note: Value should be greater than 0.
Angular Velocity of Cam
Angular velocity of cam refers to how fast an object rotates or revolves relative to another point.
Symbol: ω
Measurement: Angular VelocityUnit: rad/s
Note: Value should be greater than 0.
Stroke of Follower
Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.
Symbol: S
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Angular Displacement of Cam During Out Stroke
The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.
Symbol: θo
Measurement: AngleUnit: rad
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Maximum Acceleration

​Go Maximum Acceleration of Follower on Outstroke when Follower Moves with SHM
amax=π2ω2S2θo2
​Go Maximum Acceleration of Follower on Return Stroke when Follower Moves with SHM
amax=π2ω2S2θR2
​Go Maximum Uniform Acceleration of Follower during Return Stroke
amax=4ω2SθR2
​Go Max Acceleration of Follower during Outstroke if Stroke of Follower is known Uniform Acceleration
amax=4ωSθoto

Other formulas in Acceleration of the Follower category

​Go Acceleration of Follower after Time t for Cycloidal Motion
a=2πω2Sθo2sin(2πθrθo)
​Go Acceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank
a=ω2(R-r1)cos(θt)
​Go Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks
a=ω2(r1+rrol)(2-cos(θ))2(cos(θ))3
​Go Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose
a=ω2r(cos(θ1)+L2rcos(2θ1)+r3(sin(θ1))4L2-r2(sin(θ1))2)

How to Evaluate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion evaluator uses Maximum Acceleration = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2) to evaluate the Maximum Acceleration, Maximum Acceleration of Follower during Outstroke for Cycloidal Motion formula is defined as the maximum acceleration experienced by the follower during the outstroke phase of cycloidal motion, which is a fundamental concept in mechanical systems and machine design, where the follower moves in a circular path. Maximum Acceleration is denoted by amax symbol.

How to evaluate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion using this online evaluator? To use this online evaluator for Maximum Acceleration of Follower during Outstroke for Cycloidal Motion, enter Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke o) and hit the calculate button.

FAQs on Maximum Acceleration of Follower during Outstroke for Cycloidal Motion

What is the formula to find Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?
The formula of Maximum Acceleration of Follower during Outstroke for Cycloidal Motion is expressed as Maximum Acceleration = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2). Here is an example- 15.45098 = (2*pi*27^2*20)/(22^2).
How to calculate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?
With Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke o) we can find Maximum Acceleration of Follower during Outstroke for Cycloidal Motion using the formula - Maximum Acceleration = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2). This formula also uses Archimedes' constant .
What are the other ways to Calculate Maximum Acceleration?
Here are the different ways to Calculate Maximum Acceleration-
  • Maximum Acceleration=(pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Out Stroke^2)OpenImg
  • Maximum Acceleration=(pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Return Stroke^2)OpenImg
  • Maximum Acceleration=(4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Return Stroke^2)OpenImg
Can the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion be negative?
No, the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion, measured in Acceleration cannot be negative.
Which unit is used to measure Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?
Maximum Acceleration of Follower during Outstroke for Cycloidal Motion is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Maximum Acceleration of Follower during Outstroke for Cycloidal Motion can be measured.
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