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

✖Base Radius of Truncated Cone is the radius of the base of a truncated cone-shaped cam follower used in mechanical systems.ⓘ Base Radius of Truncated Cone [r_Base]			+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%

✖Displacement of Follower is the linear movement of the follower in a cam-follower mechanism, which converts rotary motion into linear motion.ⓘ Displacement of Follower for Circular Arc Cam, there's Contact on Circular Flank [d_follower]

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Formula

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

Formula

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

Example

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

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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 of Follower = (Base Radius of Truncated Cone-Radius of the Base Circle)*(1-cos(Angle Turned by Cam))
d_follower = (r_Base-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 of Follower - (Measured in Meter) - Displacement of Follower is the linear movement of the follower in a cam-follower mechanism, which converts rotary motion into linear motion.
Base Radius of Truncated Cone - (Measured in Meter) - Base Radius of Truncated Cone is the radius of the base of a truncated cone-shaped cam follower used in mechanical systems.
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

Base Radius of Truncated Cone: 139.45 Meter --> 139.45 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

d_follower = (r_Base-r₁)*(1-cos(θ_turned)) --> (139.45-3)*(1-cos(2.8318))

Evaluating ... ...

d_follower = 266.404543663849

STEP 3: Convert Result to Output's Unit

266.404543663849 Meter --> No Conversion Required

FINAL ANSWER

266.404543663849 ≈ 266.4045 Meter <-- Displacement of Follower

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Cams » Cam and Follower » Mechanical » Follower Motion » Displacement of Follower for Circular Arc Cam, there's Contact 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

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

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

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

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

Displacement of Follower = (Base Radius of Truncated Cone-Radius of the Base Circle)*(1-cos(Angle Turned by Cam))
d_follower = (r_Base-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 of Follower = (Base Radius of Truncated Cone-Radius of the Base Circle)*(1-cos(Angle Turned by Cam)) to calculate 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 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 Base Radius of Truncated Cone (r_Base), 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 -> 283.0975 = (139.45-3)*(1-cos(2.8318)).

FAQ

What is 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 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 and is represented as d_follower = (r_Base-r₁)*(1-cos(θ_turned)) or Displacement of Follower = (Base Radius of Truncated Cone-Radius of the Base Circle)*(1-cos(Angle Turned by Cam)). Base Radius of Truncated Cone is the radius of the base of a truncated cone-shaped cam follower used in mechanical systems, 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 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 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 is calculated using Displacement of Follower = (Base Radius of Truncated Cone-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 Base Radius of Truncated Cone (r_Base), Radius of the Base Circle (r₁) & Angle Turned by Cam (θ_turned). With our tool, you need to enter the respective value for Base Radius of Truncated Cone, 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 of Follower?

In this formula, Displacement of Follower uses Base Radius of Truncated Cone, 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 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)))

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