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

✖Angular velocity of cam refers to how fast an object rotates or revolves relative to another point.ⓘ Angular velocity of cam [ω]			+10% -10%
✖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%

✖Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank [v]

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Formula

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

Formula

`"v" = "ω"*("R"-"r"_{"1"})*sin("θ"_{"turned"})`

Example

`"13.88235m/s"="27rad/s"*("5m"-"3m")*sin("0.26rad")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam)
v = ω*(R-r₁)*sin(θ_turned)
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Angular velocity of cam - (Measured in Radian per Second) - Angular velocity of cam refers to how fast an object rotates or revolves relative to another point.
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

Angular velocity of cam: 27 Radian per Second --> 27 Radian per Second No Conversion Required
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

v = ω*(R-r₁)*sin(θ_turned) --> 27*(5-3)*sin(0.26)

Evaluating ... ...

v = 13.8823498021764

STEP 3: Convert Result to Output's Unit

13.8823498021764 Meter per Second --> No Conversion Required

FINAL ANSWER

13.8823498021764 ≈ 13.88235 Meter per Second <-- Velocity

(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

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

Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam)
v = ω*(R-r₁)*sin(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 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 calculator uses Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam) to calculate the Velocity, The Velocity of follower for circular arc cam if contact is on circular flank formula is defined as the rate of change of its position with respect to a frame of reference. Velocity is denoted by v symbol.

How to calculate Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank using this online calculator? To use this online calculator 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. Here is how the Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank calculation can be explained with given input values -> -20.268231 = 27*(5-3)*sin(0.26).

FAQ

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

The Velocity of follower for circular arc cam if contact is on circular flank formula is defined as the rate of change of its position with respect to a frame of reference and is represented as v = ω*(R-r₁)*sin(θ_turned) or Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam). Angular velocity of cam refers to how fast an object rotates or revolves relative to another point, 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 Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank?

The Velocity of follower for circular arc cam if contact is on circular flank formula is defined as the rate of change of its position with respect to a frame of reference is calculated using Velocity = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Angle turned by cam). To calculate Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank, you need Angular velocity of cam (ω), 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 Angular velocity of cam, 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 Velocity?

In this formula, Velocity uses Angular velocity of cam, 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 -

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)))

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