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Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Formula

GoVelocity of Follower of Roller Follower Tangent Cam for Contact with Nose Formula

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Velocity is the speed at which the follower moves in a specific direction, typically measured in meters per second, in a cam and follower mechanism. Check FAQs

v = ω \cdot (r 1 + r roller) \cdot \frac{\sin (θ)}{{(\cos (θ))}^{2}}

v - Velocity?ω - Angular Velocity of Cam?r₁ - Radius of the Base Circle?r_roller - Radius of Roller?θ - Angle Turned by Cam from Beginning of Roller?

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Example

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Here is how the Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks equation looks like with Values.

Here is how the Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks equation looks like with Units.

Here is how the Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks equation looks like.

386.8983 = 27 \cdot (3 + 33.37) \cdot \frac{\sin (170)}{{(\cos (170))}^{2}}

386.8983m/s = 27rad/s \cdot (3m + 33.37m) \cdot \frac{\sin (170rad)}{{(\cos (170rad))}^{2}}

386.8983 = 27 \cdot (3 + 33.37) \cdot \frac{\sin (170)}{{(\cos (170))}^{2}}

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Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Solution

Follow our step by step solution on how to calculate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

FIRST Step Consider the formula

v = ω \cdot (r 1 + r roller) \cdot \frac{\sin (θ)}{{(\cos (θ))}^{2}}

Next Step Substitute values of Variables

∴

v = 27rad/s \cdot (3m + 33.37m) \cdot \frac{\sin (170rad)}{{(\cos (170rad))}^{2}}

Next Step Prepare to Evaluate

∴

v = 27 \cdot (3 + 33.37) \cdot \frac{\sin (170)}{{(\cos (170))}^{2}}

Next Step Evaluate

∴

v = 386.898254480847m/s

LAST Step Rounding Answer

∴

v = 386.8983m/s

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Formula Elements

Variables

Functions

Velocity

Velocity is the speed at which the follower moves in a specific direction, typically measured in meters per second, in a cam and follower mechanism.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity

Angular Velocity of Cam

Angular Velocity of Cam is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion.

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 the radius of the circular base of the cam follower, which is a crucial component in mechanical systems.

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 the distance from the center of the roller to its periphery in a cam and follower mechanism, affecting the motion of the follower.

Symbol: r_roller

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Roller

Angle Turned by Cam from Beginning of Roller

Angle Turned by Cam from Beginning of Roller is the rotation of the cam from the starting point of the roller in a cam-follower mechanism.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by Cam from Beginning 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 Velocity

Go Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose

v = ω \cdot r \cdot (\sin (θ 1) + \frac{r \cdot \sin (2 \cdot θ 1)}{2 \cdot \sqrt{L^{2} - r^{2} \cdot {(\sin (θ 1))}^{2}}})

Other formulas in Tangent Cam category

Go Distance between Roller Center and Nose Center of Tangent Cam with Roller Follower

L = r roller + r nose

Go Displacement of Roller of Tangent Cam with Roller Follower, when there's Nose Contact

d roller = L + r - r \cdot \cos (θ 1) - \sqrt{L^{2} - r^{2} \cdot {(\sin (θ 1))}^{2}}

Go Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower

θ 1 = α - φ

Go Displacement of Needle for Tangent Cam with Needle-Bearing Follower

d needle = (r 1 + r roller) \cdot (\frac{1 - \cos (θ)}{\cos (θ)})

How to Evaluate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks evaluator uses Velocity = Angular Velocity of Cam*(Radius of the Base Circle+Radius of Roller)*sin(Angle Turned by Cam from Beginning of Roller)/((cos(Angle Turned by Cam from Beginning of Roller))^2) to evaluate the Velocity, Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks formula is defined as a measure of the velocity of the follower in a cam-follower system where the contact is with straight flanks, providing insight into the kinematics of the system and enabling the design of efficient mechanical systems. Velocity is denoted by v symbol.

How to evaluate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks using this online evaluator? To use this online evaluator for Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks, enter Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_roller) & Angle Turned by Cam from Beginning of Roller (θ) and hit the calculate button.

FAQs on Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks

What is the formula to find Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

The formula of Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks is expressed as Velocity = Angular Velocity of Cam*(Radius of the Base Circle+Radius of Roller)*sin(Angle Turned by Cam from Beginning of Roller)/((cos(Angle Turned by Cam from Beginning of Roller))^2). Here is an example- -14862.166152 = 27*(3+33.37)*sin(170)/((cos(170))^2).

How to calculate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

With Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_roller) & Angle Turned by Cam from Beginning of Roller (θ) we can find Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks using the formula - Velocity = Angular Velocity of Cam*(Radius of the Base Circle+Radius of Roller)*sin(Angle Turned by Cam from Beginning of Roller)/((cos(Angle Turned by Cam from Beginning of Roller))^2). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Velocity?

Here are the different ways to Calculate Velocity-

Velocity=Angular Velocity of Cam*Distance b/w Cam Center and Nose Center*(sin(Angle Turned by Cam when Roller is at Nose Top)+(Distance b/w Cam Center and Nose Center*sin(2*Angle Turned by Cam when Roller is at Nose Top))/(2*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)))

Can the Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks be negative?

Yes, the Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks, measured in Speed can be negative.

Which unit is used to measure Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks 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 Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks can be measured.

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Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Formula

​GoVelocity of Follower of Roller Follower Tangent Cam for Contact with Nose Formula

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Example

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Solution

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Formula Elements

Other Formulas to find Velocity

Other formulas in Tangent Cam category

How to Evaluate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

FAQs on Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks

Variable Name

GoVelocity of Follower of Roller Follower Tangent Cam for Contact with Nose Formula