Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks 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%
✖Angle turned by cam from beginning of roller is the angle through which the cam turns while the follower remains stationery at the highest or the lowest position.ⓘ Angle Turned by Cam from Beginning of Roller [θ]			+10% -10%

✖Acceleration of follower is the rate of change in velocity to the change in time.ⓘ Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks [a]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
a = ω^2*(r₁+r_rol)*(2-cos(θ))^2/((cos(θ))^3)
This formula uses 1 Functions, 5 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

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.
Angle Turned by Cam from Beginning of Roller - (Measured in Radian) - Angle turned by cam from beginning of roller is the angle through which the cam turns while the follower remains stationery at the highest or the lowest position.

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
Angle Turned by Cam from Beginning of Roller: 0.43 Radian --> 0.43 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = ω^2*(r₁+r_rol)*(2-cos(θ))^2/((cos(θ))^3) --> 27^2*(4.98+31)*(2-cos(0.43))^2/((cos(0.43))^3)

Evaluating ... ...

a = 41574.1040740965

STEP 3: Convert Result to Output's Unit

41574.1040740965 Meter per Square Second --> No Conversion Required

FINAL ANSWER

41574.1040740965 ≈ 41574.1 Meter per Square Second <-- Acceleration of Follower

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Cams » Mechanical » Acceleration of the Follower » Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks

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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)

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

LaTeX Go

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

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks calculator uses 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) to calculate the Acceleration of Follower, Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks formula is defined as the measure of the acceleration of the follower in a tangent cam system with roller follower and straight flanks, which is essential in designing and analyzing cam-follower mechanisms in mechanical systems. Acceleration of Follower is denoted by a symbol.

How to calculate Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks using this online calculator? To use this online calculator for Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks, enter Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_rol) & Angle Turned by Cam from Beginning of Roller (θ) and hit the calculate button. Here is how the Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks calculation can be explained with given input values -> 39286.26 = 27^2*(4.98+31)*(2-cos(0.43))^2/((cos(0.43))^3).

FAQ

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

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks formula is defined as the measure of the acceleration of the follower in a tangent cam system with roller follower and straight flanks, which is essential in designing and analyzing cam-follower mechanisms in mechanical systems and is represented as a = ω^2*(r₁+r_rol)*(2-cos(θ))^2/((cos(θ))^3) or 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). 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 & Angle turned by cam from beginning of roller is the angle through which the cam turns while the follower remains stationery at the highest or the lowest position.

How to calculate Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks?

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks formula is defined as the measure of the acceleration of the follower in a tangent cam system with roller follower and straight flanks, which is essential in designing and analyzing cam-follower mechanisms in mechanical systems is calculated using 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). To calculate Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks, you need Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_rol) & Angle Turned by Cam from Beginning of Roller (θ). With our tool, you need to enter the respective value for Angular Velocity of Cam, Radius of the Base Circle, Radius of Roller & Angle Turned by Cam from Beginning 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 & Angle Turned by Cam from Beginning 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*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))

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