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Minimum Acceleration of Follower for Tangent Cam with Roller Follower 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)

a - Acceleration of Follower?ω - Angular Velocity of Cam?r₁ - Radius of the Base Circle?r_rol - Radius of Roller?

Minimum Acceleration of Follower for Tangent Cam with Roller Follower Example

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Here is how the Minimum Acceleration of Follower for Tangent Cam with Roller Follower equation looks like.

26229.42 = 27^{2} \cdot (4.98 + 31)

26229.42m/s² = {27rad/s}^{2} \cdot (4.98m + 31m)

26229.42 = 27^{2} \cdot (4.98 + 31)

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Theory of Machine » fx Minimum Acceleration of Follower for Tangent Cam with Roller Follower

Minimum Acceleration of Follower for Tangent Cam with Roller Follower Solution

Follow our step by step solution on how to calculate Minimum Acceleration of Follower for Tangent Cam with Roller Follower?

FIRST Step Consider the formula

a = ω^{2} \cdot (r 1 + r rol)

Next Step Substitute values of Variables

∴

a = {27rad/s}^{2} \cdot (4.98m + 31m)

Next Step Prepare to Evaluate

∴

a = 27^{2} \cdot (4.98 + 31)

LAST Step Evaluate

∴

a = 26229.42m/s²

Minimum Acceleration of Follower for Tangent Cam with Roller Follower Formula Elements

Variables

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

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 Tangent Cam with Roller Follower?

Minimum Acceleration of Follower for Tangent Cam with Roller Follower evaluator uses Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller) to evaluate the Acceleration of Follower, Minimum Acceleration of Follower for Tangent Cam with Roller Follower formula is defined as the measure of the minimum acceleration required for the follower to maintain contact with the cam during its rotation, ensuring smooth motion and preventing separation or jumping of the follower. Acceleration of Follower is denoted by a symbol.

How to evaluate Minimum Acceleration of Follower for Tangent Cam with Roller Follower using this online evaluator? To use this online evaluator for Minimum Acceleration of Follower for Tangent Cam with Roller Follower, enter Angular Velocity of Cam (ω), Radius of the Base Circle (r₁) & Radius of Roller (r_rol) and hit the calculate button.

FAQs on Minimum Acceleration of Follower for Tangent Cam with Roller Follower

What is the formula to find Minimum Acceleration of Follower for Tangent Cam with Roller Follower?

The formula of Minimum Acceleration of Follower for Tangent Cam with Roller Follower is expressed as Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller). Here is an example- 24786 = 27^2*(4.98+31).

How to calculate Minimum Acceleration of Follower for Tangent Cam with Roller Follower?

With Angular Velocity of Cam (ω), Radius of the Base Circle (r₁) & Radius of Roller (r_rol) we can find Minimum Acceleration of Follower for Tangent Cam with Roller Follower using the formula - Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller).

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 Tangent Cam with Roller Follower be negative?

Yes, the Minimum Acceleration of Follower for Tangent Cam with Roller Follower, measured in Acceleration can be negative.

Which unit is used to measure Minimum Acceleration of Follower for Tangent Cam with Roller Follower?

Minimum Acceleration of Follower for Tangent Cam with Roller Follower 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 Tangent Cam with Roller Follower can be measured.

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Minimum Acceleration of Follower for Tangent Cam with Roller Follower 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 Tangent Cam with Roller Follower Example

Minimum Acceleration of Follower for Tangent Cam with Roller Follower Solution

Minimum Acceleration of Follower for Tangent Cam with Roller Follower 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 Tangent Cam with Roller Follower?

FAQs on Minimum Acceleration of Follower for Tangent Cam with Roller Follower

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