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Max Velocity of Follower for Tangent Cam with Roller Follower Formula

GoMaximum Velocity of Follower during Outstroke for Cycloidal Motion Formula

GoMaximum Velocity of Follower during Outstroke at Uniform Acceleration given Time of Out Stroke 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 = ω \cdot (r 1 + r r) \cdot \frac{\sin (φ)}{{\cos (φ)}^{2}}

V_m - Maximum Velocity of Follower?ω - Angular Velocity of Cam?r₁ - Radius of The Base Circle?r_r - Radius of Roller?φ - Angle Turned By The Cam For Contact of Roller?

Max Velocity of Follower for Tangent Cam with Roller Follower Example

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Here is how the Max Velocity of Follower for Tangent Cam with Roller Follower equation looks like with Values.

Here is how the Max Velocity of Follower for Tangent Cam with Roller Follower equation looks like with Units.

Here is how the Max Velocity of Follower for Tangent Cam with Roller Follower equation looks like.

80.0915 = 27 \cdot (3 + 31) \cdot \frac{\sin (0.0867)}{{\cos (0.0867)}^{2}}

80.0915m/s = 27rad/s \cdot (3m + 31m) \cdot \frac{\sin (0.0867rad)}{{\cos (0.0867rad)}^{2}}

80.0915 = 27 \cdot (3 + 31) \cdot \frac{\sin (0.0867)}{{\cos (0.0867)}^{2}}

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Max Velocity of Follower for Tangent Cam with Roller Follower Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V m = 27rad/s \cdot (3m + 31m) \cdot \frac{\sin (0.0867rad)}{{\cos (0.0867rad)}^{2}}

Next Step Prepare to Evaluate

∴

V m = 27 \cdot (3 + 31) \cdot \frac{\sin (0.0867)}{{\cos (0.0867)}^{2}}

Next Step Evaluate

∴

V m = 80.0914568682071m/s

LAST Step Rounding Answer

∴

V m = 80.0915m/s

Max Velocity of Follower for Tangent Cam with Roller Follower Formula Elements

Variables

Functions

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

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_r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Roller

Angle Turned By The Cam For Contact of Roller

Angle Turned By The Cam For Contact of Roller is the angle through which the cam turns while the follower remains stationary at the highest or the lowest position.

Symbol: φ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned By The Cam For Contact of Roller

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)

Other Formulas to find Maximum Velocity of Follower

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}

Go Maximum Velocity of Follower during Return Stroke for Uniform Acceleration

V m = \frac{2 \cdot S \cdot ω}{θ R}

How to Evaluate Max Velocity of Follower for Tangent Cam with Roller Follower?

Max Velocity of Follower for Tangent Cam with Roller Follower evaluator uses 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) to evaluate the Maximum Velocity of Follower, Max Velocity of Follower for Tangent Cam with Roller Follower formula is defined as the maximum speed at which the follower moves in a tangent cam with a roller follower, which is critical in designing and optimizing cam-follower systems for efficient mechanical performance. Maximum Velocity of Follower is denoted by V_m symbol.

How to evaluate Max Velocity of Follower for Tangent Cam with Roller Follower using this online evaluator? To use this online evaluator for Max Velocity of Follower for Tangent Cam with Roller Follower, enter Angular Velocity of Cam (ω), Radius of The Base Circle (r₁), Radius of Roller (r_r) & Angle Turned By The Cam For Contact of Roller (φ) and hit the calculate button.

FAQs on Max Velocity of Follower for Tangent Cam with Roller Follower

What is the formula to find Max Velocity of Follower for Tangent Cam with Roller Follower?

The formula of Max Velocity of Follower for Tangent Cam with Roller Follower is expressed as 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). Here is an example- 80.09146 = 27*(3+31)*sin(0.0867)/(cos(0.0867)^2).

How to calculate Max Velocity of Follower for Tangent Cam with Roller Follower?

With Angular Velocity of Cam (ω), Radius of The Base Circle (r₁), Radius of Roller (r_r) & Angle Turned By The Cam For Contact of Roller (φ) we can find Max Velocity of Follower for Tangent Cam with Roller Follower using the formula - 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). This formula also uses Sine (sin), Cosine (cos) function(s).

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=(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
Maximum Velocity of Follower=(2*Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam During Return Stroke

Can the Max Velocity of Follower for Tangent Cam with Roller Follower be negative?

No, the Max Velocity of Follower for Tangent Cam with Roller Follower, measured in Speed cannot be negative.

Which unit is used to measure Max Velocity of Follower for Tangent Cam with Roller Follower?

Max Velocity of Follower for Tangent Cam with Roller Follower 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 Max Velocity of Follower for Tangent Cam with Roller Follower can be measured.

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Max Velocity of Follower for Tangent Cam with Roller Follower Formula

​GoMaximum Velocity of Follower during Outstroke for Cycloidal Motion Formula

​GoMaximum Velocity of Follower during Outstroke at Uniform Acceleration given Time of Out Stroke Formula

Max Velocity of Follower for Tangent Cam with Roller Follower Example

Max Velocity of Follower for Tangent Cam with Roller Follower Solution

Max Velocity of Follower for Tangent Cam with Roller Follower Formula Elements

Other Formulas to find Maximum Velocity of Follower

How to Evaluate Max Velocity of Follower for Tangent Cam with Roller Follower?

FAQs on Max Velocity of Follower for Tangent Cam with Roller Follower

Variable Name

GoMaximum Velocity of Follower during Outstroke for Cycloidal Motion Formula

GoMaximum Velocity of Follower during Outstroke at Uniform Acceleration given Time of Out Stroke Formula