Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank 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 circular flank is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.ⓘ Radius of circular flank [R]			+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%
✖The total angle of action of cam is the total angle moved by the cam during the time between the beginning of rising and the end of return of the follower.ⓘ Total angle of action of cam [2α]			+10% -10%

✖Maximum velocity of follower is the rate of change of its position with respect to a frame of reference and is a function of time.ⓘ Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank [V_max]

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Formula

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Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank

Formula

`"V"_{"max"} = "ω"*("R"-"r"_{"1"})*sin("2α")`

Example

`"53.93035m/s"="27rad/s"*("5m"-"3m")*sin("1.52rad")`

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Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam)
V_max = ω*(R-r₁)*sin(2α)
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

Maximum velocity of follower - (Measured in Meter per Second) - Maximum velocity of follower is the rate of change of its position with respect to a frame of reference and is a function of 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 circular flank - (Measured in Meter) - Radius of circular flank 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 - (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.
Total angle of action of cam - (Measured in Radian) - The total angle of action of cam is the total angle moved by the cam during the time between the beginning of rising and the end of return of the follower.

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: 5 Meter --> 5 Meter No Conversion Required
Radius of the base circle: 3 Meter --> 3 Meter No Conversion Required
Total angle of action of cam: 1.52 Radian --> 1.52 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_max = ω*(R-r₁)*sin(2α) --> 27*(5-3)*sin(1.52)

Evaluating ... ...

V_max = 53.9303477746815

STEP 3: Convert Result to Output's Unit

53.9303477746815 Meter per Second --> No Conversion Required

FINAL ANSWER

53.9303477746815 ≈ 53.93035 Meter per Second <-- Maximum velocity of follower

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Cams » Maximum Velocity of the Follower » Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank

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National Institute Of Technology (NIT), Hamirpur

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< 11 Maximum Velocity of the Follower Calculators

Max Velocity of Follower for Tangent Cam with Roller Follower

Go Maximum velocity of follower = Angular velocity of cam*(Radius of the base circle+Radius of Roller)*sin(Angle turned by the cam for contact of roller)/((cos(Angle turned by the cam for contact of roller))^2)

Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank

Go Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam)

Maximum Velocity of Follower on Return Stroke when Follower Moves with SHM

Go Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular displacement of cam during return stroke)

Maximum Velocity of Follower on Outstroke when Follower Moves with SHM

Go Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke)

Maximum Velocity of Follower during Return Stroke for Uniform Acceleration

Go Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular displacement of cam during return stroke

Maximum Velocity of Follower during Return Stroke for Cycloidal Motion

Go Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular displacement of cam during return stroke

Maximum Velocity of Follower during Outstroke at Uniform Acceleration

Go Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular Displacement of Cam during Out Stroke

Maximum Velocity of Follower during Outstroke for Cycloidal Motion

Go Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke

Maximum Velocity of Follower on Outstroke given Time Stroke

Go Maximum velocity of follower = (pi*Stroke of Follower)/(2*Time required for the outstroke)

Maximum Velocity of Follower during Return Stroke at Uniform Acceleration given Time of Stroke

Go Maximum velocity of follower = (2*Stroke of Follower)/Time required for the return stroke

Maximum Velocity of Follower during Outstroke at Uniform Acceleration given Time of Out Stroke

Go Maximum velocity of follower = (2*Stroke of Follower)/Time required for the outstroke

Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank Formula

Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam)
V_max = ω*(R-r₁)*sin(2α)

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 Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?

Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank calculator uses Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam) to calculate the Maximum velocity of follower, The Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular flank formula is defined as the rate of change of its position with respect to a frame of reference. Maximum velocity of follower is denoted by V_max symbol.

How to calculate Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank using this online calculator? To use this online calculator for Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank, enter Angular velocity of cam (ω), Radius of circular flank (R), Radius of the base circle (r₁) & Total angle of action of cam (2α) and hit the calculate button. Here is how the Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank calculation can be explained with given input values -> -78.738308 = 27*(5-3)*sin(1.52).

FAQ

What is Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?

The Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular flank formula is defined as the rate of change of its position with respect to a frame of reference and is represented as V_max = ω*(R-r₁)*sin(2α) or Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam). Angular velocity of cam refers to how fast an object rotates or revolves relative to another point, Radius of circular flank 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 is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length & The total angle of action of cam is the total angle moved by the cam during the time between the beginning of rising and the end of return of the follower.

How to calculate Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank?

The Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular flank formula is defined as the rate of change of its position with respect to a frame of reference is calculated using Maximum velocity of follower = Angular velocity of cam*(Radius of circular flank-Radius of the base circle)*sin(Total angle of action of cam). To calculate Maximum Velocity of Follower for Circular Arc Cam Contacting with Circular Flank, you need Angular velocity of cam (ω), Radius of circular flank (R), Radius of the base circle (r₁) & Total angle of action of cam (2α). With our tool, you need to enter the respective value for Angular velocity of cam, Radius of circular flank, Radius of the base circle & Total angle of action of 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 Maximum velocity of follower?

In this formula, Maximum velocity of follower uses Angular velocity of cam, Radius of circular flank, Radius of the base circle & Total angle of action of cam. We can use 10 other way(s) to calculate the same, which is/are as follows -

Maximum velocity of follower = Angular velocity of cam*(Radius of the base circle+Radius of Roller)*sin(Angle turned by the cam for contact of roller)/((cos(Angle turned by the cam for contact of roller))^2)
Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular Displacement of Cam during Out Stroke
Maximum velocity of follower = (2*Stroke of Follower)/Time required for the outstroke
Maximum velocity of follower = (2*Angular velocity of cam*Stroke of Follower)/Angular displacement of cam during return stroke
Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular displacement of cam during return stroke
Maximum velocity of follower = (2*Stroke of Follower)/Time required for the return stroke
Maximum velocity of follower = (2*Stroke of Follower*Angular velocity of cam)/Angular Displacement of Cam during Out Stroke
Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular Displacement of Cam during Out Stroke)
Maximum velocity of follower = (pi*Stroke of Follower*Angular velocity of cam)/(2*Angular displacement of cam during return stroke)
Maximum velocity of follower = (pi*Stroke of Follower)/(2*Time required for the outstroke)

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