Max Velocity 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_roller]			+10% -10%
✖Angle turned by the cam for contact of roller is the angle through which the cam turns while the follower remains stationary at the highest or the lowest position.ⓘ Angle turned by the cam for contact of roller [φ]			+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.ⓘ Max Velocity of Follower for Tangent Cam with Roller Follower [V_max]

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Max Velocity of Follower for Tangent Cam with Roller Follower

Formula

`"V"_{"max"} = "ω"*("r"_{"1"}+"r"_{"roller"})*sin("φ")/((cos("φ"))^2)`

Example

`"571.4627m/s"="27rad/s"*("3m"+"31m")*sin("0.5rad")/((cos("0.5rad"))^2)`

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Max Velocity of Follower for Tangent Cam with Roller Follower Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_max = ω*(r₁+r_roller)*sin(φ)/((cos(φ))^2)
This formula uses 2 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)

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 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 the cam for contact of roller - (Measured in Radian) - Angle turned by the cam for contact of roller is the angle through which the cam turns while the follower remains stationary 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: 3 Meter --> 3 Meter No Conversion Required
Radius of Roller: 31 Meter --> 31 Meter No Conversion Required
Angle turned by the cam for contact of roller: 0.5 Radian --> 0.5 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_max = ω*(r₁+r_roller)*sin(φ)/((cos(φ))^2) --> 27*(3+31)*sin(0.5)/((cos(0.5))^2)

Evaluating ... ...

V_max = 571.462683347219

STEP 3: Convert Result to Output's Unit

571.462683347219 Meter per Second --> No Conversion Required

FINAL ANSWER

571.462683347219 ≈ 571.4627 Meter per Second <-- Maximum velocity of follower

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Cams » Maximum Velocity of the Follower » Max Velocity of Follower for Tangent Cam with Roller Follower

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

Max Velocity of Follower for Tangent Cam with Roller Follower Formula

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 Max Velocity of Follower for Tangent Cam with Roller Follower?

Max Velocity of Follower for Tangent Cam with Roller Follower calculator uses 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) to calculate the Maximum velocity of follower, The Max velocity of follower for tangent cam with roller follower 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 Max Velocity of Follower for Tangent Cam with Roller Follower using this online calculator? To use this online calculator for Max Velocity of Follower for Tangent Cam with Roller Follower, enter Angular velocity of cam (ω), Radius of the base circle (r₁), Radius of Roller (r_roller) & Angle turned by the cam for contact of roller (φ) and hit the calculate button. Here is how the Max Velocity of Follower for Tangent Cam with Roller Follower calculation can be explained with given input values -> 571.4627 = 27*(3+31)*sin(0.5)/((cos(0.5))^2).

FAQ

What is Max Velocity of Follower for Tangent Cam with Roller Follower?

The Max velocity of follower for tangent cam with roller follower 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*(r₁+r_roller)*sin(φ)/((cos(φ))^2) or 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). 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 the cam for contact of roller is the angle through which the cam turns while the follower remains stationary at the highest or the lowest position.

How to calculate Max Velocity of Follower for Tangent Cam with Roller Follower?

The Max velocity of follower for tangent cam with roller follower 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 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). To calculate Max Velocity 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_roller) & Angle turned by the cam for contact of roller (φ). 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 the cam for contact 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 Maximum velocity of follower?

In this formula, Maximum velocity of follower uses Angular velocity of cam, Radius of the base circle, Radius of Roller & Angle turned by the cam for contact of roller. We can use 10 other way(s) to calculate the same, which is/are as follows -

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