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Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks 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 1 + r rol) \cdot \frac{{(2 - \cos (θ))}^{2}}{{(\cos (θ))}^{3}}

a - Acceleration of Follower?ω - Angular Velocity of Cam?r₁ - Radius of the Base Circle?r_rol - Radius of Roller?θ - Angle Turned by Cam from Beginning of Roller?

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

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Here is how the Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks equation looks like with Values.

Here is how the Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks equation looks like with Units.

Here is how the Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks equation looks like.

41574.1041 = 27^{2} \cdot (4.98 + 31) \cdot \frac{{(2 - \cos (0.43))}^{2}}{{(\cos (0.43))}^{3}}

41574.1041m/s² = {27rad/s}^{2} \cdot (4.98m + 31m) \cdot \frac{{(2 - \cos (0.43rad))}^{2}}{{(\cos (0.43rad))}^{3}}

41574.1041 = 27^{2} \cdot (4.98 + 31) \cdot \frac{{(2 - \cos (0.43))}^{2}}{{(\cos (0.43))}^{3}}

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

Follow our step by step solution on how to calculate Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = {27rad/s}^{2} \cdot (4.98m + 31m) \cdot \frac{{(2 - \cos (0.43rad))}^{2}}{{(\cos (0.43rad))}^{3}}

Next Step Prepare to Evaluate

∴

a = 27^{2} \cdot (4.98 + 31) \cdot \frac{{(2 - \cos (0.43))}^{2}}{{(\cos (0.43))}^{3}}

Next Step Evaluate

∴

a = 41574.1040740965m/s²

LAST Step Rounding Answer

∴

a = 41574.1041m/s²

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

Radius of Roller

Radius of Roller is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Symbol: r_rol

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Roller

Angle Turned by Cam from Beginning of Roller

Angle turned by cam from beginning of roller is the angle through which the cam turns while the follower remains stationery at the highest or the lowest position.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by Cam from Beginning of Roller

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 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}}})

Go Minimum Acceleration of Follower for Tangent Cam with Roller Follower

a = ω^{2} \cdot (r 1 + r rol)

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

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks evaluator uses 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) to evaluate the Acceleration of Follower, Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks formula is defined as the measure of the acceleration of the follower in a tangent cam system with roller follower and straight flanks, which is essential in designing and analyzing cam-follower mechanisms in mechanical systems. Acceleration of Follower is denoted by a symbol.

How to evaluate Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks using this online evaluator? To use this online evaluator for Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks, enter Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_rol) & Angle Turned by Cam from Beginning of Roller (θ) and hit the calculate button.

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

What is the formula to find Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks?

The formula of Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks is expressed as 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). Here is an example- 39286.26 = 27^2*(4.98+31)*(2-cos(0.43))^2/((cos(0.43))^3).

How to calculate Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks?

With Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_rol) & Angle Turned by Cam from Beginning of Roller (θ) we can find Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks using the formula - 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). This formula also uses Cosine (cos) 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*Distance b/w Cam Center and Nose Center*(cos(Angle Turned by Cam When Roller is at Nose Top)+(Distance b/w Roller Centre and Nose Centre^2*Distance b/w Cam Center and Nose Center*cos(2*Angle Turned by Cam When Roller is at Nose Top)+Distance b/w Cam Center and Nose Center^3*(sin(Angle Turned by Cam When Roller is at Nose Top))^4)/sqrt(Distance b/w Roller Centre and Nose Centre^2-Distance b/w Cam Center and Nose Center^2*(sin(Angle Turned by Cam When Roller is at Nose Top))^2))

Can the Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks be negative?

Yes, the Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks, measured in Acceleration can be negative.

Which unit is used to measure Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks?

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks 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 Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks can be measured.

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

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

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

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

Other Formulas to find Acceleration of Follower

Other formulas in Acceleration of the Follower category

How to Evaluate Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks?

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

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