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Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank Formula

GoVelocity of Follower after Time t for Cycloidal Motion 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 - r 1) \cdot \sin (θ turned)

v - Velocity?ω - Angular Velocity of Cam?R - Radius of Circular Flank?r₁ - Radius of the Base Circle?θ_turned - Angle Turned by Cam?

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank Example

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Here is how the Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank equation looks like with Values.

Here is how the Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank equation looks like with Units.

Here is how the Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank equation looks like.

386.8688 = 27 \cdot (50 - 3) \cdot \sin (2.8318)

386.8688m/s = 27rad/s \cdot (50m - 3m) \cdot \sin (2.8318rad)

386.8688 = 27 \cdot (50 - 3) \cdot \sin (2.8318)

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Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank Solution

Follow our step by step solution on how to calculate Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank?

FIRST Step Consider the formula

v = ω \cdot (R - r 1) \cdot \sin (θ turned)

Next Step Substitute values of Variables

∴

v = 27rad/s \cdot (50m - 3m) \cdot \sin (2.8318rad)

Next Step Prepare to Evaluate

∴

v = 27 \cdot (50 - 3) \cdot \sin (2.8318)

Next Step Evaluate

∴

v = 386.868820847116m/s

LAST Step Rounding Answer

∴

v = 386.8688m/s

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank 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 Circular Flank

Radius of Circular Flank is the radius of the circular portion of a cam follower that interacts with the cam during motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Flank

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

Angle Turned by Cam

Angle Turned by Cam is the rotation of the cam around its axis, which determines the movement of the follower in a mechanical system.

Symbol: θ_turned

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by Cam

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)

Other Formulas to find Velocity

Go Velocity of Follower after Time t for Cycloidal Motion

v = \frac{ω \cdot S}{θ o} \cdot (1 - \cos (\frac{2 \cdot π \cdot θ rotation}{θ o}))

Other formulas in Follower Motion category

Go Time Required for Out Stroke of Follower when Follower Moves with SHM

t o = \frac{θ o}{ω}

Go Peripheral Speed of Projection of Point P on Diameter for SHM of Follower

P s = \frac{π \cdot S}{2 \cdot t o}

Go Peripheral Speed of Projection of Point P' (Projection of Point P on Dia) for SHM of Follower

P s = \frac{π \cdot S \cdot ω}{2 \cdot θ o}

Go Mean Velocity of Follower during Return Stroke at Uniform Acceleration

V mean = \frac{S}{t R}

How to Evaluate Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank?

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank evaluator uses Velocity = Angular Velocity of Cam*(Radius of Circular Flank-Radius of the Base Circle)*sin(Angle Turned by Cam) to evaluate the Velocity, Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank formula is defined as the measure of the velocity of the follower in a circular arc cam mechanism when the contact point is on the circular flank, which is a critical parameter in designing and optimizing cam-follower systems. Velocity is denoted by v symbol.

How to evaluate Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank using this online evaluator? To use this online evaluator for Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank, enter Angular Velocity of Cam (ω), Radius of Circular Flank (R), Radius of the Base Circle (r₁) & Angle Turned by Cam (θ_turned) and hit the calculate button.

FAQs on Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank

What is the formula to find Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank?

The formula of Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank is expressed as Velocity = Angular Velocity of Cam*(Radius of Circular Flank-Radius of the Base Circle)*sin(Angle Turned by Cam). Here is an example- -690.36279 = 27*(50-3)*sin(2.8318).

How to calculate Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank?

With Angular Velocity of Cam (ω), Radius of Circular Flank (R), Radius of the Base Circle (r₁) & Angle Turned by Cam (θ_turned) we can find Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank using the formula - Velocity = Angular Velocity of Cam*(Radius of Circular Flank-Radius of the Base Circle)*sin(Angle Turned by Cam). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Velocity?

Here are the different ways to Calculate Velocity-

Velocity=(Angular Velocity of Cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through Cam Rotates)/(Angular Displacement of Cam during Out Stroke)))

Can the Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank be negative?

Yes, the Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank, measured in Speed can be negative.

Which unit is used to measure Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank?

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank 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 Circular Arc Cam if Contact is on Circular Flank can be measured.

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Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank Formula

​GoVelocity of Follower after Time t for Cycloidal Motion Formula

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank Example

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank Solution

Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank Formula Elements

Other Formulas to find Velocity

Other formulas in Follower Motion category

How to Evaluate Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank?

FAQs on Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank

Variable Name

GoVelocity of Follower after Time t for Cycloidal Motion Formula