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Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Formula

GoDisplacement of Follower after Time t for Cycloidal Motion Formula

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Displacement of Follower is the linear movement of the follower in a cam-follower mechanism, which converts rotary motion into linear motion. Check FAQs

d follower = (r Base - r 1) \cdot (1 - \cos (θ turned))

d_follower - Displacement of Follower?r_Base - Base Radius of Truncated Cone?r₁ - Radius of the Base Circle?θ_turned - Angle Turned by Cam?

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Example

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Here is how the Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank equation looks like with Values.

Here is how the Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank equation looks like with Units.

Here is how the Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank equation looks like.

266.4045 = (139.45 - 3) \cdot (1 - \cos (2.8318))

266.4045m = (139.45m - 3m) \cdot (1 - \cos (2.8318rad))

266.4045 = (139.45 - 3) \cdot (1 - \cos (2.8318))

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Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Solution

Follow our step by step solution on how to calculate Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank?

FIRST Step Consider the formula

d follower = (r Base - r 1) \cdot (1 - \cos (θ turned))

Next Step Substitute values of Variables

∴

d follower = (139.45m - 3m) \cdot (1 - \cos (2.8318rad))

Next Step Prepare to Evaluate

∴

d follower = (139.45 - 3) \cdot (1 - \cos (2.8318))

Next Step Evaluate

∴

d follower = 266.404543663849m

LAST Step Rounding Answer

∴

d follower = 266.4045m

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Formula Elements

Variables

Functions

Displacement of Follower

Displacement of Follower is the linear movement of the follower in a cam-follower mechanism, which converts rotary motion into linear motion.

Symbol: d_follower

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Follower

Base Radius of Truncated Cone

Base Radius of Truncated Cone is the radius of the base of a truncated cone-shaped cam follower used in mechanical systems.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Truncated Cone

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

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 Displacement of Follower

Go Displacement of Follower after Time t for Cycloidal Motion

d follower = S \cdot (\frac{θ rotation}{θ o} \cdot \frac{180}{π} - \sin (\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 Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank?

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank evaluator uses Displacement of Follower = (Base Radius of Truncated Cone-Radius of the Base Circle)*(1-cos(Angle Turned by Cam)) to evaluate the Displacement of Follower, Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank formula is defined as the linear distance moved by the follower along the circular arc of the cam during a specific rotation angle, considering the radius of the cam and the initial position of the follower. Displacement of Follower is denoted by d_follower symbol.

How to evaluate Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank using this online evaluator? To use this online evaluator for Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank, enter Base Radius of Truncated Cone (r_Base), Radius of the Base Circle (r₁) & Angle Turned by Cam (θ_turned) and hit the calculate button.

FAQs on Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank

What is the formula to find Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank?

The formula of Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank is expressed as Displacement of Follower = (Base Radius of Truncated Cone-Radius of the Base Circle)*(1-cos(Angle Turned by Cam)). Here is an example- 283.0975 = (139.45-3)*(1-cos(2.8318)).

How to calculate Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank?

With Base Radius of Truncated Cone (r_Base), Radius of the Base Circle (r₁) & Angle Turned by Cam (θ_turned) we can find Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank using the formula - Displacement of Follower = (Base Radius of Truncated Cone-Radius of the Base Circle)*(1-cos(Angle Turned by Cam)). This formula also uses Cosine (cos) function(s).

What are the other ways to Calculate Displacement of Follower?

Here are the different ways to Calculate Displacement of Follower-

Displacement of Follower=Stroke of Follower*(Angle through Cam Rotates/Angular Displacement of Cam during Out Stroke*180/pi-sin((2*pi*Angle through Cam Rotates)/(Angular Displacement of Cam during Out Stroke)))

Can the Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank be negative?

Yes, the Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank, measured in Length can be negative.

Which unit is used to measure Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank?

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank can be measured.

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Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Formula

​GoDisplacement of Follower after Time t for Cycloidal Motion Formula

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Example

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Solution

Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank Formula Elements

Other Formulas to find Displacement of Follower

Other formulas in Follower Motion category

How to Evaluate Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank?

FAQs on Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank

Variable Name

GoDisplacement of Follower after Time t for Cycloidal Motion Formula