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Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose 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 \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}}})

a - Acceleration of Follower?ω - Angular Velocity of Cam?r - Distance b/w Cam Center and Nose Center?θ₁ - Angle Turned by Cam When Roller is at Nose Top?L - Distance b/w Roller Centre and Nose Centre?

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

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

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

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

9.3529 = 27^{2} \cdot 0.012 \cdot (\cos (6.5) + \frac{{8.5}^{2} \cdot 0.012 \cdot \cos (2 \cdot 6.5) + {0.012}^{3} \cdot {(\sin (6.5))}^{4}}{\sqrt{{8.5}^{2} - {0.012}^{2} \cdot {(\sin (6.5))}^{2}}})

9.3529m/s² = {27rad/s}^{2} \cdot 0.012m \cdot (\cos (6.5rad) + \frac{{8.5m}^{2} \cdot 0.012m \cdot \cos (2 \cdot 6.5rad) + {0.012m}^{3} \cdot {(\sin (6.5rad))}^{4}}{\sqrt{{8.5m}^{2} - {0.012m}^{2} \cdot {(\sin (6.5rad))}^{2}}})

9.3529 = 27^{2} \cdot 0.012 \cdot (\cos (6.5) + \frac{{8.5}^{2} \cdot 0.012 \cdot \cos (2 \cdot 6.5) + {0.012}^{3} \cdot {(\sin (6.5))}^{4}}{\sqrt{{8.5}^{2} - {0.012}^{2} \cdot {(\sin (6.5))}^{2}}})

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

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

FIRST Step Consider the formula

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}}})

Next Step Substitute values of Variables

∴

a = {27rad/s}^{2} \cdot 0.012m \cdot (\cos (6.5rad) + \frac{{8.5m}^{2} \cdot 0.012m \cdot \cos (2 \cdot 6.5rad) + {0.012m}^{3} \cdot {(\sin (6.5rad))}^{4}}{\sqrt{{8.5m}^{2} - {0.012m}^{2} \cdot {(\sin (6.5rad))}^{2}}})

Next Step Prepare to Evaluate

∴

a = 27^{2} \cdot 0.012 \cdot (\cos (6.5) + \frac{{8.5}^{2} \cdot 0.012 \cdot \cos (2 \cdot 6.5) + {0.012}^{3} \cdot {(\sin (6.5))}^{4}}{\sqrt{{8.5}^{2} - {0.012}^{2} \cdot {(\sin (6.5))}^{2}}})

Next Step Evaluate

∴

a = 9.35289972431919m/s²

LAST Step Rounding Answer

∴

a = 9.3529m/s²

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

Distance b/w Cam Center and Nose Center

Distance b/w cam center and nose center is a numerical measurement of how far apart objects or points are.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance b/w Cam Center and Nose Center

Angle Turned by Cam When Roller is at Nose Top

Angle turned by cam when roller is at nose top is the angle turned by the cam measured from the position when the roller is at the top of the nose.

Symbol: θ₁

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by Cam When Roller is at Nose Top

Distance b/w Roller Centre and Nose Centre

Distance b/w roller centre and nose centre is a numerical measurement of how far apart objects or points are.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance b/w Roller Centre and Nose Centre

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)

cos

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

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose evaluator uses 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)) to evaluate the Acceleration of Follower, Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose formula is defined as the measure of the rate of change of velocity of the follower in a tangent cam system, which is essential in understanding the dynamics of the cam-follower mechanism. Acceleration of Follower is denoted by a symbol.

How to evaluate Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose using this online evaluator? To use this online evaluator for Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose, enter Angular Velocity of Cam (ω), Distance b/w Cam Center and Nose Center (r), Angle Turned by Cam When Roller is at Nose Top (θ₁) & Distance b/w Roller Centre and Nose Centre (L) and hit the calculate button.

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

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

The formula of Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose is expressed as 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)). Here is an example- 6.188944 = 27^2*0.012*(cos(6.5)+(8.5^2*0.012*cos(2*6.5)+0.012^3*(sin(6.5))^4)/sqrt(8.5^2-0.012^2*(sin(6.5))^2)).

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

With Angular Velocity of Cam (ω), Distance b/w Cam Center and Nose Center (r), Angle Turned by Cam When Roller is at Nose Top (θ₁) & Distance b/w Roller Centre and Nose Centre (L) we can find Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose using the formula - 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)). This formula also uses Sine (sin)Cosine (cos), Square Root (sqrt) 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 Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose be negative?

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

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

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

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

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

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

Other Formulas to find Acceleration of Follower

Other formulas in Acceleration of the Follower category

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

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

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