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Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Formula

GoAcceleration of Follower after Time t for Cycloidal Motion Formula

GoAcceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank Formula

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Acceleration of follower is the rate of change in velocity to the change in time. Check FAQs

a = ω^{2} \cdot (R - r 1) \cdot \cos (α 2)

a - Acceleration of Follower?ω - Angular Velocity of Cam?R - Radius of Circular Flank?r₁ - Radius of the Base Circle?α₂ - Total Angle of Action of Cam?

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Example

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

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

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

18.1735 = 27^{2} \cdot (4.955 - 4.98) \cdot \cos (9.5)

18.1735m/s² = {27rad/s}^{2} \cdot (4.955m - 4.98m) \cdot \cos (9.5rad)

18.1735 = 27^{2} \cdot (4.955 - 4.98) \cdot \cos (9.5)

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Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Solution

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

FIRST Step Consider the formula

a = ω^{2} \cdot (R - r 1) \cdot \cos (α 2)

Next Step Substitute values of Variables

∴

a = {27rad/s}^{2} \cdot (4.955m - 4.98m) \cdot \cos (9.5rad)

Next Step Prepare to Evaluate

∴

a = 27^{2} \cdot (4.955 - 4.98) \cdot \cos (9.5)

Next Step Evaluate

∴

a = 18.1734625466793m/s²

LAST Step Rounding Answer

∴

a = 18.1735m/s²

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Formula Elements

Variables

Functions

Acceleration of Follower

Acceleration of follower is the rate of change in velocity to the change in time.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration of Follower

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 Cam

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 Flank

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 Circle

Total Angle of Action of Cam

The 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: α₂

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Total Angle of Action of Cam

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Acceleration of Follower

Go Acceleration of Follower after Time t for Cycloidal Motion

a = \frac{2 \cdot π \cdot ω^{2} \cdot S}{{θ o}^{2}} \cdot \sin (\frac{2 \cdot π \cdot θ r}{θ o})

Go Acceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank

a = ω^{2} \cdot (R - r 1) \cdot \cos (θ t)

Go Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks

a = ω^{2} \cdot (r 1 + r rol) \cdot \frac{{(2 - \cos (θ))}^{2}}{{(\cos (θ))}^{3}}

Go Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose

a = ω^{2} \cdot r \cdot (\cos (θ 1) + \frac{L^{2} \cdot r \cdot \cos (2 \cdot θ 1) + r^{3} \cdot {(\sin (θ 1))}^{4}}{\sqrt{L^{2} - r^{2} \cdot {(\sin (θ 1))}^{2}}})

Other formulas in Acceleration of the Follower category

Go Centripetal Acceleration of Point P on Circumference

a c = \frac{π^{2} \cdot ω^{2} \cdot S}{2 \cdot {θ o}^{2}}

Go Centripetal Acceleration of Point P on Circumference when Follower Moves with SHM

a c = \frac{2 \cdot {P s}^{2}}{S}

Go Maximum Acceleration of Follower on Outstroke when Follower Moves with SHM

a max = \frac{π^{2} \cdot ω^{2} \cdot S}{2 \cdot {θ o}^{2}}

Go Maximum Acceleration of Follower on Return Stroke when Follower Moves with SHM

a max = \frac{π^{2} \cdot ω^{2} \cdot S}{2 \cdot {θ R}^{2}}

How to Evaluate Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank?

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank evaluator uses Acceleration of Follower = Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Total Angle of Action of Cam) to evaluate the Acceleration of Follower, Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank formula is defined as the acceleration of the follower in a circular arc cam contacting with a circular flank, which is a critical parameter in cam design, affecting the smoothness and efficiency of the motion. Acceleration of Follower is denoted by a symbol.

How to evaluate Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank using this online evaluator? To use this online evaluator for Minimum Acceleration 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 (α₂) and hit the calculate button.

FAQs on Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank

What is the formula to find Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank?

The formula of Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank is expressed as Acceleration of Follower = Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Total Angle of Action of Cam). Here is an example- -3.634693 = 27^2*(4.955-4.98)*cos(9.5).

How to calculate Minimum Acceleration 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 (α₂) we can find Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank using the formula - Acceleration of Follower = Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Total Angle of Action of Cam). This formula also uses Cosine function(s).

What are the other ways to Calculate Acceleration of Follower?

Here are the different ways to Calculate Acceleration of Follower-

Acceleration of Follower=(2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2)*sin((2*pi*Angle Through Which Cam Rotates)/(Angular Displacement of Cam During Out Stroke))
Acceleration of Follower=Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Angle Turned by Cam)
Acceleration of Follower=Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller)*(2-cos(Angle Turned by Cam from Beginning of Roller))^2/((cos(Angle Turned by Cam from Beginning of Roller))^3)

Can the Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank be negative?

Yes, the Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank, measured in Acceleration can be negative.

Which unit is used to measure Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank?

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank 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 Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank can be measured.

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Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Formula

​GoAcceleration of Follower after Time t for Cycloidal Motion Formula

​GoAcceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank Formula

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Example

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Solution

Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank Formula Elements

Other Formulas to find Acceleration of Follower

Other formulas in Acceleration of the Follower category

How to Evaluate Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank?

FAQs on Minimum Acceleration of Follower for Circular Arc Cam Contacting with Circular Flank

Variable Name

GoAcceleration of Follower after Time t for Cycloidal Motion Formula

GoAcceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank Formula