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

✖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.ⓘ Angular Velocity of Cam [ω]			+10% -10%
✖Radius of Circular Flank is the radius of the circular portion of a cam follower that interacts with the cam during motion.ⓘ Radius of Circular Flank [R]			+10% -10%
✖Radius of the Base Circle is the radius of the circular base of the cam follower, which is a crucial component in mechanical systems.ⓘ Radius of the Base Circle [r₁]			+10% -10%
✖Angle Turned by Cam is the rotation of the cam around its axis, which determines the movement of the follower in a mechanical system.ⓘ Angle Turned by Cam [θ_turned]			+10% -10%

✖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.ⓘ Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank [v]

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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 the speed at which the follower moves in a specific direction, typically measured in meters per second, in a cam and follower mechanism.
Angular Velocity of Cam - (Measured in Radian per Second) - 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.
Radius of Circular Flank - (Measured in Meter) - Radius of Circular Flank is the radius of the circular portion of a cam follower that interacts with the cam during motion.
Radius of the Base Circle - (Measured in Meter) - Radius of the Base Circle is the radius of the circular base of the cam follower, which is a crucial component in mechanical systems.
Angle Turned by Cam - (Measured in Radian) - Angle Turned by Cam is the rotation of the cam around its axis, which determines the movement of the follower in a mechanical system.

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: 50 Meter --> 50 Meter No Conversion Required
Radius of the Base Circle: 3 Meter --> 3 Meter No Conversion Required
Angle Turned by Cam: 2.8318 Radian --> 2.8318 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = ω*(R-r₁)*sin(θ_turned) --> 27*(50-3)*sin(2.8318)

Evaluating ... ...

v = 386.868820847116

STEP 3: Convert Result to Output's Unit

386.868820847116 Meter per Second --> No Conversion Required

FINAL ANSWER

386.868820847116 ≈ 386.8688 Meter per Second <-- Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Cams » Cam and Follower » Mechanical » Follower Motion » Velocity of Follower for Circular Arc Cam if Contact is on Circular Flank

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< Follower Motion Calculators

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

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

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

LaTeX Go Peripheral Speed = (pi*Stroke of Follower)/(2*Time Required for the Outstroke)

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

LaTeX 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

LaTeX Go Mean Velocity = Stroke of Follower/Time Required for the Return Stroke

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

LaTeX Go

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, 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 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 -> -690.36279 = 27*(50-3)*sin(2.8318).

FAQ

What is 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 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 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 is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion, Radius of Circular Flank is the radius of the circular portion of a cam follower that interacts with the cam during motion, Radius of the Base Circle is the radius of the circular base of the cam follower, which is a crucial component in mechanical systems & Angle Turned by Cam is the rotation of the cam around its axis, which determines the movement of the follower in a mechanical system.

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 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 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 Cam Rotates)/(Angular Displacement of Cam during Out Stroke)))

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