Minimum Acceleration of Follower for Tangent Cam with Roller Follower 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 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%
✖Radius of Roller is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of Roller [r_rol]			+10% -10%

✖Acceleration of follower is the rate of change in velocity to the change in time.ⓘ Minimum Acceleration of Follower for Tangent Cam with Roller Follower [a]

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Minimum Acceleration of Follower for Tangent Cam with Roller Follower Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller)
a = ω^2*(r₁+r_rol)
This formula uses 4 Variables

Variables Used

Acceleration of Follower - (Measured in Meter per Square Second) - Acceleration of follower is the rate of change in velocity to the change in 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 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.
Radius of Roller - (Measured in Meter) - Radius of Roller is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

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 the Base Circle: 4.98 Meter --> 4.98 Meter No Conversion Required
Radius of Roller: 31 Meter --> 31 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = ω^2*(r₁+r_rol) --> 27^2*(4.98+31)

Evaluating ... ...

a = 26229.42

STEP 3: Convert Result to Output's Unit

26229.42 Meter per Square Second --> No Conversion Required

FINAL ANSWER

26229.42 Meter per Square Second <-- Acceleration of Follower

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Acceleration of the Follower Calculators

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose

LaTeX Go Acceleration of Follower = Angular Velocity of Cam^2*Distance b/w Cam Center and Nose Center*(cos(Angle Turned by Cam When Roller is at Nose Top)+(Distance b/w Roller Centre and Nose Centre^2*Distance b/w Cam Center and Nose Center*cos(2*Angle Turned by Cam When Roller is at Nose Top)+Distance b/w Cam Center and Nose Center^3*(sin(Angle Turned by Cam When Roller is at Nose Top))^4)/sqrt(Distance b/w Roller Centre and Nose Centre^2-Distance b/w Cam Center and Nose Center^2*(sin(Angle Turned by Cam When Roller is at Nose Top))^2))

Acceleration of Follower after Time t for Cycloidal Motion

LaTeX Go Acceleration of Follower = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2)*sin((2*pi*Angle Through Which Cam Rotates)/(Angular Displacement of Cam During Out Stroke))

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks

LaTeX Go Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller)*(2-cos(Angle Turned by Cam from Beginning of Roller))^2/((cos(Angle Turned by Cam from Beginning of Roller))^3)

Acceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank

LaTeX Go Acceleration of Follower = Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Angle Turned by Cam)

Minimum Acceleration of Follower for Tangent Cam with Roller Follower Formula

LaTeX Go

Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller)
a = ω^2*(r₁+r_rol)

What is tangent cam with reciprocating roller follower?

Tangent cam with reciprocating followers is an example of cams with specified contours. Tangent cams are symmetric about the centerline of the camshaft and hence they fall into a category of cams with specified contours. Tangent cams are symmetrical about the centerline of the camshaft.

How to Calculate Minimum Acceleration of Follower for Tangent Cam with Roller Follower?

Minimum Acceleration of Follower for Tangent Cam with Roller Follower calculator uses Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller) to calculate the Acceleration of Follower, Minimum Acceleration of Follower for Tangent Cam with Roller Follower formula is defined as the measure of the minimum acceleration required for the follower to maintain contact with the cam during its rotation, ensuring smooth motion and preventing separation or jumping of the follower. Acceleration of Follower is denoted by a symbol.

How to calculate Minimum Acceleration of Follower for Tangent Cam with Roller Follower using this online calculator? To use this online calculator for Minimum Acceleration of Follower for Tangent Cam with Roller Follower, enter Angular Velocity of Cam (ω), Radius of the Base Circle (r₁) & Radius of Roller (r_rol) and hit the calculate button. Here is how the Minimum Acceleration of Follower for Tangent Cam with Roller Follower calculation can be explained with given input values -> 24786 = 27^2*(4.98+31).

FAQ

What is Minimum Acceleration of Follower for Tangent Cam with Roller Follower?

Minimum Acceleration of Follower for Tangent Cam with Roller Follower formula is defined as the measure of the minimum acceleration required for the follower to maintain contact with the cam during its rotation, ensuring smooth motion and preventing separation or jumping of the follower and is represented as a = ω^2*(r₁+r_rol) or Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller). Angular velocity of cam refers to how fast an object rotates or revolves relative to another point, 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 Roller is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

How to calculate Minimum Acceleration of Follower for Tangent Cam with Roller Follower?

Minimum Acceleration of Follower for Tangent Cam with Roller Follower formula is defined as the measure of the minimum acceleration required for the follower to maintain contact with the cam during its rotation, ensuring smooth motion and preventing separation or jumping of the follower is calculated using Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller). To calculate Minimum Acceleration of Follower for Tangent Cam with Roller Follower, you need Angular Velocity of Cam (ω), Radius of the Base Circle (r₁) & Radius of Roller (r_rol). With our tool, you need to enter the respective value for Angular Velocity of Cam, Radius of the Base Circle & Radius of Roller 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 Acceleration of Follower?

In this formula, Acceleration of Follower uses Angular Velocity of Cam, Radius of the Base Circle & Radius of Roller. We can use 3 other way(s) to calculate the same, which is/are as follows -

Acceleration of Follower = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2)*sin((2*pi*Angle Through Which Cam Rotates)/(Angular Displacement of Cam During Out Stroke))
Acceleration of Follower = Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Angle Turned by Cam)
Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller)*(2-cos(Angle Turned by Cam from Beginning of Roller))^2/((cos(Angle Turned by Cam from Beginning of Roller))^3)

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