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Maximum Velocity of Follower is the rate of change of its position with respect to a frame of reference and is a function of time. Check FAQs
Vm=ω⋅(R-r1)⋅sin(2α)
Vm - Maximum Velocity of Follower?ω - Angular Velocity of Cam?R - Radius of Circular Flank?r1 - Radius of The Base Circle?2α - Total Angle of Action of Cam?

Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank Example

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Here is how the Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank equation looks like with Values.

Here is how the Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank equation looks like with Units.

Here is how the Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank equation looks like.

80.0866Edit=27Edit⋅(5.97Edit-3Edit)⋅sin(1.52Edit)
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Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank Solution

Follow our step by step solution on how to calculate Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?

FIRST Step Consider the formula
Vm=ω⋅(R-r1)⋅sin(2α)
Next Step Substitute values of Variables
∴ Vm=27rad/s⋅(5.97m-3m)⋅sin(1.52rad)
Next Step Prepare to Evaluate
∴ Vm=27⋅(5.97-3)⋅sin(1.52)
Next Step Evaluate
∴Vm=80.086566445402m/s
LAST Step Rounding Answer
∴Vm=80.0866m/s

Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank Formula Elements

Variables
Functions
Maximum Velocity of Follower
Maximum Velocity of Follower is the rate of change of its position with respect to a frame of reference and is a function of time.
Symbol: Vm
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Formulas to find Maximum Velocity of FollowerOpen Variable
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.
Formulas to find Angular Velocity of CamOpen Variable
Radius of Circular Flank
Radius of Circular Flank is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Symbol: R
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Radius of Circular FlankOpen Variable
Radius of The Base Circle
Radius of The Base Circle is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Symbol: r1
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Radius of The Base CircleOpen Variable
Total Angle of Action of Cam
Total Angle of Action of Cam is the total angle moved by the cam during the time between the beginning of rising and the end of return of the follower.
Symbol: 2α
Measurement: AngleUnit: rad
Note: Value should be greater than 0.
Formulas to find Total Angle of Action of CamOpen Variable
sin
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Syntax: sin(Angle)

Other Formulas to find Maximum Velocity of Follower

​Go Max Velocity of Follower for Tangent Cam with Roller Follower
Vm=ω⋅(r1+rr)⋅sin(φ)cos(φ)2
​Go Maximum Velocity of Follower during Outstroke for Cycloidal Motion
Vm=2⋅ω⋅Sθo
​Go Maximum Velocity of Follower during Outstroke at Uniform Acceleration given Time of Out Stroke
Vm=2⋅Sto
​Go Maximum Velocity of Follower during Return Stroke for Cycloidal Motion
Vm=2⋅ω⋅SθR

How to Evaluate Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?

Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank evaluator uses Maximum Velocity of Follower = Angular Velocity of Cam*(Radius of Circular Flank-Radius of The Base Circle)*sin(Total Angle of Action of Cam) to evaluate the Maximum Velocity of Follower, Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank formula is defined as the highest speed attained by the follower when it moves in a circular arc cam contacting with a circular flank, which is a critical parameter in designing and optimizing cam-follower systems. Maximum Velocity of Follower is denoted by Vm symbol.

How to evaluate Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank using this online evaluator? To use this online evaluator for Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank, enter Angular Velocity of Cam (ω), Radius of Circular Flank (R), Radius of The Base Circle (r1) & Total Angle of Action of Cam (2α) and hit the calculate button.

FAQs on Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank

What is the formula to find Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?
The formula of Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank is expressed as Maximum Velocity of Follower = Angular Velocity of Cam*(Radius of Circular Flank-Radius of The Base Circle)*sin(Total Angle of Action of Cam). Here is an example- 53.93035 = 27*(5.97-3)*sin(1.52).
How to calculate Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?
With Angular Velocity of Cam (ω), Radius of Circular Flank (R), Radius of The Base Circle (r1) & Total Angle of Action of Cam (2α) we can find Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank using the formula - Maximum Velocity of Follower = Angular Velocity of Cam*(Radius of Circular Flank-Radius of The Base Circle)*sin(Total Angle of Action of Cam). This formula also uses Sine function(s).
What are the other ways to Calculate Maximum Velocity of Follower?
Here are the different ways to Calculate Maximum Velocity of Follower-
  • Maximum Velocity of Follower=Angular Velocity of Cam*(Radius of The Base Circle+Radius of Roller)*sin(Angle Turned By The Cam For Contact of Roller)/(cos(Angle Turned By The Cam For Contact of Roller)^2)OpenImg
  • Maximum Velocity of Follower=(2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out StrokeOpenImg
  • Maximum Velocity of Follower=(2*Stroke of Follower)/Time Required For The OutstrokeOpenImg
Can the Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank be negative?
No, the Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank, measured in Speed cannot be negative.
Which unit is used to measure Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?
Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank can be measured.
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