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Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Formula

GoMax Velocity of Follower for Tangent Cam with Roller Follower Formula

GoMaximum Velocity of Follower during Outstroke for Cycloidal Motion Formula

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Maximum Velocity of Follower is the rate of change of its position with respect to a frame of reference and is a function of time. Check FAQs

V m = \frac{π \cdot S \cdot ω}{2 \cdot θ R}

V_m - Maximum Velocity of Follower?S - Stroke of Follower?ω - Angular Velocity of Cam?θ_R - Angular Displacement of Cam During Return Stroke?π - Archimedes' constant?

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Example

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Here is how the Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM equation looks like with Values.

Here is how the Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM equation looks like with Units.

Here is how the Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM equation looks like.

62.8319 = \frac{3.1416 \cdot 20 \cdot 27}{2 \cdot 13.5}

62.8319m/s = \frac{3.1416 \cdot 20m \cdot 27rad/s}{2 \cdot 13.5rad}

62.8319 = \frac{3.1416 \cdot 20 \cdot 27}{2 \cdot 13.5}

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Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Solution

Follow our step by step solution on how to calculate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

FIRST Step Consider the formula

V m = \frac{π \cdot S \cdot ω}{2 \cdot θ R}

Next Step Substitute values of Variables

∴

V m = \frac{π \cdot 20m \cdot 27rad/s}{2 \cdot 13.5rad}

Next Step Substitute values of Constants

∴

V m = \frac{3.1416 \cdot 20m \cdot 27rad/s}{2 \cdot 13.5rad}

Next Step Prepare to Evaluate

∴

V m = \frac{3.1416 \cdot 20 \cdot 27}{2 \cdot 13.5}

Next Step Evaluate

∴

V m = 62.8318530717959m/s

LAST Step Rounding Answer

∴

V m = 62.8319m/s

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Formula Elements

Variables

Constants

Maximum Velocity of Follower

Maximum Velocity of Follower is the rate of change of its position with respect to a frame of reference and is a function of time.

Symbol: V_m

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum Velocity of Follower

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 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

Angular Displacement of Cam During Return Stroke

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

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 Velocity of Follower

Go Max Velocity of Follower for Tangent Cam with Roller Follower

V m = ω \cdot (r 1 + r r) \cdot \frac{\sin (φ)}{{\cos (φ)}^{2}}

Go Maximum Velocity of Follower during Outstroke for Cycloidal Motion

V m = \frac{2 \cdot ω \cdot S}{θ o}

Go Maximum Velocity of Follower during Outstroke at Uniform Acceleration given Time of Out Stroke

V m = \frac{2 \cdot S}{t o}

Go Maximum Velocity of Follower during Return Stroke for Cycloidal Motion

V m = \frac{2 \cdot ω \cdot S}{θ R}

How to Evaluate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM evaluator uses Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke) to evaluate the Maximum Velocity of Follower, Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM formula is defined as the highest speed attained by the follower during its return stroke while moving in simple harmonic motion, which is a critical parameter in designing and optimizing mechanical systems. Maximum Velocity of Follower is denoted by V_m symbol.

How to evaluate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM using this online evaluator? To use this online evaluator for Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM, enter Stroke of Follower (S), Angular Velocity of Cam (ω) & Angular Displacement of Cam During Return Stroke (θ_R) and hit the calculate button.

FAQs on Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM

What is the formula to find Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

The formula of Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM is expressed as Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke). Here is an example- 26.50719 = (pi*20*27)/(2*13.5).

How to calculate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

With Stroke of Follower (S), Angular Velocity of Cam (ω) & Angular Displacement of Cam During Return Stroke (θ_R) we can find Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM using the formula - Maximum Velocity of Follower = (pi*Stroke of Follower*Angular Velocity of Cam)/(2*Angular Displacement of Cam During Return Stroke). This formula also uses Archimedes' constant .

What are the other ways to Calculate Maximum Velocity of Follower?

Here are the different ways to Calculate Maximum Velocity of Follower-

Maximum Velocity of Follower=Angular Velocity of Cam*(Radius of The Base Circle+Radius of Roller)*sin(Angle Turned By The Cam For Contact of Roller)/(cos(Angle Turned By The Cam For Contact of Roller)^2)
Maximum Velocity of Follower=(2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Out Stroke
Maximum Velocity of Follower=(2*Stroke of Follower)/Time Required For The Outstroke

Can the Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM be negative?

No, the Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM, measured in Speed cannot be negative.

Which unit is used to measure Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM can be measured.

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Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Formula

​GoMax Velocity of Follower for Tangent Cam with Roller Follower Formula

​GoMaximum Velocity of Follower during Outstroke for Cycloidal Motion Formula

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Example

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Solution

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM Formula Elements

Other Formulas to find Maximum Velocity of Follower

How to Evaluate Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM?

FAQs on Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM

Variable Name

GoMax Velocity of Follower for Tangent Cam with Roller Follower Formula

GoMaximum Velocity of Follower during Outstroke for Cycloidal Motion Formula