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Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Formula

GoMaximum Acceleration of Follower on Outstroke when Follower Moves with SHM Formula

GoMaximum Acceleration of Follower on Return Stroke when Follower Moves with SHM Formula

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Maximum Acceleration is the rate of change of the velocity of an object with respect to time. Check FAQs

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

a_max - Maximum Acceleration?ω - Angular Velocity of Cam?S - Stroke of Follower?θ_o - Angular Displacement of Cam During Out Stroke?π - Archimedes' constant?

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Example

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Here is how the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion equation looks like with Values.

Here is how the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion equation looks like with Units.

Here is how the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion equation looks like.

189.2745 = \frac{2 \cdot 3.1416 \cdot 27^{2} \cdot 20}{22^{2}}

189.2745m/s² = \frac{2 \cdot 3.1416 \cdot {27rad/s}^{2} \cdot 20m}{{22rad}^{2}}

189.2745 = \frac{2 \cdot 3.1416 \cdot 27^{2} \cdot 20}{22^{2}}

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Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Solution

Follow our step by step solution on how to calculate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a max = \frac{2 \cdot π \cdot {27rad/s}^{2} \cdot 20m}{{22rad}^{2}}

Next Step Substitute values of Constants

∴

a max = \frac{2 \cdot 3.1416 \cdot {27rad/s}^{2} \cdot 20m}{{22rad}^{2}}

Next Step Prepare to Evaluate

∴

a max = \frac{2 \cdot 3.1416 \cdot 27^{2} \cdot 20}{22^{2}}

Next Step Evaluate

∴

a max = 189.274466484873m/s²

LAST Step Rounding Answer

∴

a max = 189.2745m/s²

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Formula Elements

Variables

Constants

Maximum Acceleration

Maximum Acceleration is the rate of change of the velocity of an object with respect to time.

Symbol: a_max

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Maximum Acceleration

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

Stroke of Follower

Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Stroke of Follower

Angular Displacement of Cam During Out Stroke

The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.

Symbol: θ_o

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angular Displacement of Cam During Out Stroke

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Maximum Acceleration

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}}

Go Maximum Uniform Acceleration of Follower during Return Stroke

a max = \frac{4 \cdot ω^{2} \cdot S}{{θ R}^{2}}

Go Max Acceleration of Follower during Outstroke if Stroke of Follower is known Uniform Acceleration

a max = \frac{4 \cdot ω \cdot S}{θ o \cdot t o}

Other formulas in Acceleration of the Follower category

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}}})

How to Evaluate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion evaluator uses Maximum Acceleration = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2) to evaluate the Maximum Acceleration, Maximum Acceleration of Follower during Outstroke for Cycloidal Motion formula is defined as the maximum acceleration experienced by the follower during the outstroke phase of cycloidal motion, which is a fundamental concept in mechanical systems and machine design, where the follower moves in a circular path. Maximum Acceleration is denoted by a_max symbol.

How to evaluate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion using this online evaluator? To use this online evaluator for Maximum Acceleration of Follower during Outstroke for Cycloidal Motion, enter Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o) and hit the calculate button.

FAQs on Maximum Acceleration of Follower during Outstroke for Cycloidal Motion

What is the formula to find Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

The formula of Maximum Acceleration of Follower during Outstroke for Cycloidal Motion is expressed as Maximum Acceleration = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2). Here is an example- 15.45098 = (2*pi*27^2*20)/(22^2).

How to calculate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

With Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o) we can find Maximum Acceleration of Follower during Outstroke for Cycloidal Motion using the formula - Maximum Acceleration = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Maximum Acceleration?

Here are the different ways to Calculate Maximum Acceleration-

Maximum Acceleration=(pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Out Stroke^2)
Maximum Acceleration=(pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Return Stroke^2)
Maximum Acceleration=(4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Return Stroke^2)

Can the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion be negative?

No, the Maximum Acceleration of Follower during Outstroke for Cycloidal Motion, measured in Acceleration cannot be negative.

Which unit is used to measure Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion 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 Maximum Acceleration of Follower during Outstroke for Cycloidal Motion can be measured.

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Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Formula

​GoMaximum Acceleration of Follower on Outstroke when Follower Moves with SHM Formula

​GoMaximum Acceleration of Follower on Return Stroke when Follower Moves with SHM Formula

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Example

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Solution

Maximum Acceleration of Follower during Outstroke for Cycloidal Motion Formula Elements

Other Formulas to find Maximum Acceleration

Other formulas in Acceleration of the Follower category

How to Evaluate Maximum Acceleration of Follower during Outstroke for Cycloidal Motion?

FAQs on Maximum Acceleration of Follower during Outstroke for Cycloidal Motion

Variable Name

GoMaximum Acceleration of Follower on Outstroke when Follower Moves with SHM Formula

GoMaximum Acceleration of Follower on Return Stroke when Follower Moves with SHM Formula