Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose 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%
✖Distance b/w cam center and nose center is a numerical measurement of how far apart objects or points are.ⓘ Distance b/w Cam Center and Nose Center [r]			+10% -10%
✖Angle turned by cam when roller is at nose top is the angle turned by the cam measured from the position when the roller is at the top of the nose.ⓘ Angle Turned by Cam When Roller is at Nose Top [θ₁]			+10% -10%
✖Distance b/w roller centre and nose centre is a numerical measurement of how far apart objects or points are.ⓘ Distance b/w Roller Centre and Nose Centre [L]			+10% -10%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
a = ω^2*r*(cos(θ₁)+(L^2*r*cos(2*θ₁)+r^3*(sin(θ₁))^4)/sqrt(L^2-r^2*(sin(θ₁))^2))
This formula uses 3 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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Distance b/w Cam Center and Nose Center - (Measured in Meter) - Distance b/w cam center and nose center is a numerical measurement of how far apart objects or points are.
Angle Turned by Cam When Roller is at Nose Top - (Measured in Radian) - Angle turned by cam when roller is at nose top is the angle turned by the cam measured from the position when the roller is at the top of the nose.
Distance b/w Roller Centre and Nose Centre - (Measured in Meter) - Distance b/w roller centre and nose centre is a numerical measurement of how far apart objects or points are.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity of Cam: 27 Radian per Second --> 27 Radian per Second No Conversion Required
Distance b/w Cam Center and Nose Center: 0.012 Meter --> 0.012 Meter No Conversion Required
Angle Turned by Cam When Roller is at Nose Top: 6.5 Radian --> 6.5 Radian No Conversion Required
Distance b/w Roller Centre and Nose Centre: 8.5 Meter --> 8.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = ω^2*r*(cos(θ₁)+(L^2*r*cos(2*θ₁)+r^3*(sin(θ₁))^4)/sqrt(L^2-r^2*(sin(θ₁))^2)) --> 27^2*0.012*(cos(6.5)+(8.5^2*0.012*cos(2*6.5)+0.012^3*(sin(6.5))^4)/sqrt(8.5^2-0.012^2*(sin(6.5))^2))

Evaluating ... ...

a = 9.35289972431919

STEP 3: Convert Result to Output's Unit

9.35289972431919 Meter per Square Second --> No Conversion Required

FINAL ANSWER

9.35289972431919 ≈ 9.3529 Meter per Square Second <-- Acceleration of Follower

(Calculation completed in 00.004 seconds)

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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 of Roller Follower Tangent Cam, there's Contact with Nose 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 center line of the cam shaft and hence they fall into a category of cams with specified contours. Tangent cams are symmetrical about the center line of the cam shaft.

How to Calculate Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose?

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose calculator uses 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)) to calculate the Acceleration of Follower, Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose formula is defined as the measure of the rate of change of velocity of the follower in a tangent cam system, which is essential in understanding the dynamics of the cam-follower mechanism. Acceleration of Follower is denoted by a symbol.

How to calculate Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose using this online calculator? To use this online calculator for Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose, enter Angular Velocity of Cam (ω), Distance b/w Cam Center and Nose Center (r), Angle Turned by Cam When Roller is at Nose Top (θ₁) & Distance b/w Roller Centre and Nose Centre (L) and hit the calculate button. Here is how the Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose calculation can be explained with given input values -> 6.188944 = 27^2*0.012*(cos(6.5)+(8.5^2*0.012*cos(2*6.5)+0.012^3*(sin(6.5))^4)/sqrt(8.5^2-0.012^2*(sin(6.5))^2)).

FAQ

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

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose formula is defined as the measure of the rate of change of velocity of the follower in a tangent cam system, which is essential in understanding the dynamics of the cam-follower mechanism and is represented as a = ω^2*r*(cos(θ₁)+(L^2*r*cos(2*θ₁)+r^3*(sin(θ₁))^4)/sqrt(L^2-r^2*(sin(θ₁))^2)) or 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)). Angular velocity of cam refers to how fast an object rotates or revolves relative to another point, Distance b/w cam center and nose center is a numerical measurement of how far apart objects or points are, Angle turned by cam when roller is at nose top is the angle turned by the cam measured from the position when the roller is at the top of the nose & Distance b/w roller centre and nose centre is a numerical measurement of how far apart objects or points are.

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

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose formula is defined as the measure of the rate of change of velocity of the follower in a tangent cam system, which is essential in understanding the dynamics of the cam-follower mechanism is calculated using 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)). To calculate Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose, you need Angular Velocity of Cam (ω), Distance b/w Cam Center and Nose Center (r), Angle Turned by Cam When Roller is at Nose Top (θ₁) & Distance b/w Roller Centre and Nose Centre (L). With our tool, you need to enter the respective value for Angular Velocity of Cam, Distance b/w Cam Center and Nose Center, Angle Turned by Cam When Roller is at Nose Top & Distance b/w Roller Centre and Nose Centre 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, Distance b/w Cam Center and Nose Center, Angle Turned by Cam When Roller is at Nose Top & Distance b/w Roller Centre and Nose Centre. 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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