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Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration 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{4 \cdot ω \cdot S}{θ R \cdot t R}

a_max - Maximum Acceleration?ω - Angular Velocity of Cam?S - Stroke of Follower?θ_R - Angular Displacement of Cam During Return Stroke?t_R - Time Required for the Return Stroke?

Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration Example

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Here is how the Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration equation looks like with Values.

Here is how the Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration equation looks like with Units.

Here is how the Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration equation looks like.

6.1935 = \frac{4 \cdot 27 \cdot 20}{77.5 \cdot 4.5}

6.1935m/s² = \frac{4 \cdot 27rad/s \cdot 20m}{77.5rad \cdot 4.5s}

6.1935 = \frac{4 \cdot 27 \cdot 20}{77.5 \cdot 4.5}

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Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration Solution

Follow our step by step solution on how to calculate Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a max = \frac{4 \cdot 27rad/s \cdot 20m}{77.5rad \cdot 4.5s}

Next Step Prepare to Evaluate

∴

a max = \frac{4 \cdot 27 \cdot 20}{77.5 \cdot 4.5}

Next Step Evaluate

∴

a max = 6.19354838709677m/s²

LAST Step Rounding Answer

∴

a max = 6.1935m/s²

Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration Formula Elements

Variables

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 Return Stroke

The angular displacement of cam during return stroke is the angle covered by the follower during the return stroke.

Symbol: θ_R

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angular Displacement of Cam During Return Stroke

Time Required for the Return Stroke

The time required for the return stroke is the time taken to cover angular displacement during the return stroke.

Symbol: t_R

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Required for the Return Stroke

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 Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration?

Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration evaluator uses Maximum Acceleration = (4*Angular Velocity of Cam*Stroke of Follower)/(Angular Displacement of Cam During Return Stroke*Time Required for the Return Stroke) to evaluate the Maximum Acceleration, Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration formula is defined as the maximum acceleration of the follower during its return stroke, which occurs when the follower stroke is known to have a uniform acceleration, and is a critical parameter in the design and analysis of mechanical systems. Maximum Acceleration is denoted by a_max symbol.

How to evaluate Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration using this online evaluator? To use this online evaluator for Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration, enter Angular Velocity of Cam (ω), Stroke of Follower (S), Angular Displacement of Cam During Return Stroke (θ_R) & Time Required for the Return Stroke (t_R) and hit the calculate button.

FAQs on Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration

What is the formula to find Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration?

The formula of Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration is expressed as Maximum Acceleration = (4*Angular Velocity of Cam*Stroke of Follower)/(Angular Displacement of Cam During Return Stroke*Time Required for the Return Stroke). Here is an example- 15 = (4*27*20)/(77.5*4.5).

How to calculate Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration?

With Angular Velocity of Cam (ω), Stroke of Follower (S), Angular Displacement of Cam During Return Stroke (θ_R) & Time Required for the Return Stroke (t_R) we can find Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration using the formula - Maximum Acceleration = (4*Angular Velocity of Cam*Stroke of Follower)/(Angular Displacement of Cam During Return Stroke*Time Required for the Return Stroke).

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 Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration be negative?

No, the Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration, measured in Acceleration cannot be negative.

Which unit is used to measure Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration?

Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration 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 Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration can be measured.

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Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration 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

Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration Example

Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration Solution

Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration Formula Elements

Other Formulas to find Maximum Acceleration

Other formulas in Acceleration of the Follower category

How to Evaluate Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration?

FAQs on Max Acceleration of Follower during Return Stroke if Follower Stroke is Known Uniform Acceleration

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