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

✖Radius of circular flank is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of circular flank [R]			+10% -10%
✖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.ⓘ Radius of the base circle [r₁]			+10% -10%
✖Angle turned by cam is obtained for rotation of the cam.ⓘ Angle turned by cam [θ_turned]			+10% -10%

✖Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.ⓘ Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank [d]

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

Formula

`"d" = ("R"-"r"_{"1"})*(1-cos("θ"_{"turned"}))`

Example

`"0.06722m"=("5m"-"3m")*(1-cos("0.26rad"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam))
d = (R-r₁)*(1-cos(θ_turned))
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Displacement - (Measured in Meter) - Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Radius of circular flank - (Measured in Meter) - Radius of circular flank is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.
Radius of the base circle - (Measured in Meter) - 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.
Angle turned by cam - (Measured in Radian) - Angle turned by cam is obtained for rotation of the cam.

STEP 1: Convert Input(s) to Base Unit

Radius of circular flank: 5 Meter --> 5 Meter No Conversion Required
Radius of the base circle: 3 Meter --> 3 Meter No Conversion Required
Angle turned by cam: 0.26 Radian --> 0.26 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (R-r₁)*(1-cos(θ_turned)) --> (5-3)*(1-cos(0.26))

Evaluating ... ...

d = 0.0672200437309736

STEP 3: Convert Result to Output's Unit

0.0672200437309736 Meter --> No Conversion Required

FINAL ANSWER

0.0672200437309736 ≈ 0.06722 Meter <-- Displacement

(Calculation completed in 00.004 seconds)

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< 13 Cam and Follower Calculators

Displacement of Follower after Time t for Cycloidal Motion

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

Velocity of Follower after Time t for Cycloidal Motion

Go Velocity = (Angular velocity of cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke*(1-cos((2*pi*Angle through which cam rotates)/(Angular Displacement of Cam during Out Stroke)))

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

Go Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam)

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

Go Peripheral Speed = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke)

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

Go Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam))

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

Go Peripheral Speed = (pi*Stroke of Follower)/(2*Time required for the outstroke)

Time Required by Follower for Return Stroke at Uniform Acceleration

Go Time required for the return stroke = Angular displacement of cam during return stroke/Angular velocity of cam

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

Go Time required for the outstroke = Angular Displacement of Cam during Out Stroke/Angular velocity of cam

Time Required for Follower during Outstroke for Uniform Acceleration

Go Time required for the outstroke = Angular Displacement of Cam during Out Stroke/Angular velocity of cam

Mean Velocity of Follower during Return Stroke at Uniform Acceleration

Go Mean Velocity = Stroke of Follower/Time required for the return stroke

Mean Velocity of Follower during Outstroke at Uniform Acceleration

Go Mean Velocity = Stroke of Follower/Time required for the outstroke

Condition for Maximum Acceleration of Follower Exhibiting Cycloidal Motion

Go Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/4

Condition for Maximum Velocity of Follower Exhibiting Cycloidal Motion

Go Angle through which cam rotates = Angular Displacement of Cam during Out Stroke/2

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

Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam))
d = (R-r₁)*(1-cos(θ_turned))

what is circular arc cam?

When the flanks of the cam connecting the nose and base circles are of a convex circular arc, such cams are referred to as circular arc cams.

How to Calculate 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 calculator uses Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam)) to calculate the Displacement, The Displacement of follower for circular arc cam, there's contact on circular flank formula is defined as the change in position of the follower. Displacement is denoted by d symbol.

How to calculate Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank using this online calculator? To use this online calculator for Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank, enter Radius of circular flank (R), Radius of the base circle (r₁) & Angle turned by cam (θ_turned) and hit the calculate button. Here is how the Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank calculation can be explained with given input values -> -0.098141 = (5-3)*(1-cos(0.26)).

FAQ

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

The Displacement of follower for circular arc cam, there's contact on circular flank formula is defined as the change in position of the follower and is represented as d = (R-r₁)*(1-cos(θ_turned)) or Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam)). Radius of circular flank is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length, 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 & Angle turned by cam is obtained for rotation of the cam.

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

The Displacement of follower for circular arc cam, there's contact on circular flank formula is defined as the change in position of the follower is calculated using Displacement = (Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam)). To calculate Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank, you need Radius of circular flank (R), Radius of the base circle (r₁) & Angle turned by cam (θ_turned). With our tool, you need to enter the respective value for Radius of circular flank, Radius of the base circle & Angle turned by cam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Displacement?

In this formula, Displacement uses Radius of circular flank, Radius of the base circle & Angle turned by cam. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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