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

GoVelocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks 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 \cdot (\sin (θ 1) + \frac{r \cdot \sin (2 \cdot θ 1)}{2 \cdot \sqrt{L^{2} - r^{2} \cdot {(\sin (θ 1))}^{2}}})

v - Velocity?ω - Angular Velocity of Cam?r - Distance b/w Cam Center and Nose Center?θ₁ - Angle Turned by Cam when Roller is at Nose Top?L - Distance b/w Roller Centre and Nose Centre?

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

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

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

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

386.8601 = 27 \cdot 15.192 \cdot (\sin (0.785) + \frac{15.192 \cdot \sin (2 \cdot 0.785)}{2 \cdot \sqrt{{33.89}^{2} - {15.192}^{2} \cdot {(\sin (0.785))}^{2}}})

386.8601m/s = 27rad/s \cdot 15.192m \cdot (\sin (0.785rad) + \frac{15.192m \cdot \sin (2 \cdot 0.785rad)}{2 \cdot \sqrt{{33.89m}^{2} - {15.192m}^{2} \cdot {(\sin (0.785rad))}^{2}}})

386.8601 = 27 \cdot 15.192 \cdot (\sin (0.785) + \frac{15.192 \cdot \sin (2 \cdot 0.785)}{2 \cdot \sqrt{{33.89}^{2} - {15.192}^{2} \cdot {(\sin (0.785))}^{2}}})

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

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

FIRST Step Consider the formula

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}}})

Next Step Substitute values of Variables

∴

v = 27rad/s \cdot 15.192m \cdot (\sin (0.785rad) + \frac{15.192m \cdot \sin (2 \cdot 0.785rad)}{2 \cdot \sqrt{{33.89m}^{2} - {15.192m}^{2} \cdot {(\sin (0.785rad))}^{2}}})

Next Step Prepare to Evaluate

∴

v = 27 \cdot 15.192 \cdot (\sin (0.785) + \frac{15.192 \cdot \sin (2 \cdot 0.785)}{2 \cdot \sqrt{{33.89}^{2} - {15.192}^{2} \cdot {(\sin (0.785))}^{2}}})

Next Step Evaluate

∴

v = 386.860109887093m/s

LAST Step Rounding Answer

∴

v = 386.8601m/s

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

Distance b/w Cam Center and Nose Center

Distance b/w cam center and nose center is the length between the center of the cam and the nose center in a cam-follower mechanism.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance b/w Cam Center and Nose Center

Angle Turned by Cam when Roller is at Nose Top

Angle Turned by cam when roller is at nose top is the rotational movement of the cam when the roller is positioned at the highest point of the cam's nose.

Symbol: θ₁

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by Cam when Roller is at Nose Top

Distance b/w Roller Centre and Nose Centre

Distance b/w Roller Centre and Nose Centre is the length between the centre of the roller and the nose centre in a cam and follower mechanism.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance b/w Roller Centre and Nose Centre

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Velocity

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

v = ω \cdot (r 1 + r roller) \cdot \frac{\sin (θ)}{{(\cos (θ))}^{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 of Roller Follower Tangent Cam for Contact with Nose?

Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose evaluator uses 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))) to evaluate the Velocity, Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose formula is defined as the velocity of the follower in a cam and follower system, which is a critical parameter in determining the performance and efficiency of the system, particularly when the follower is in contact with the nose of the cam. Velocity is denoted by v symbol.

How to evaluate Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose using this online evaluator? To use this online evaluator for Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose, enter Angular Velocity of Cam (ω), Distance b/w Cam Center and Nose Center (r), Angle Turned by Cam when Roller is at Nose Top (θ₁) & Distance b/w Roller Centre and Nose Centre (L) and hit the calculate button.

FAQs on Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose

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

The formula of Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose is expressed as 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))). Here is an example- 386.795 = 27*15.192*(sin(0.785)+(15.192*sin(2*0.785))/(2*sqrt(33.89^2-15.192^2*(sin(0.785))^2))).

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

With Angular Velocity of Cam (ω), Distance b/w Cam Center and Nose Center (r), Angle Turned by Cam when Roller is at Nose Top (θ₁) & Distance b/w Roller Centre and Nose Centre (L) we can find Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose using the formula - 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))). This formula also uses Sine, Square Root Function function(s).

What are the other ways to Calculate Velocity?

Here are the different ways to Calculate Velocity-

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)

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

Yes, the Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose, measured in Speed can be negative.

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

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

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

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

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

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

Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose Formula Elements

Other Formulas to find Velocity

Other formulas in Tangent Cam category

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

FAQs on Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose

Variable Name

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