Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Calculator

✖Angular Velocity of Cam is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion.ⓘ Angular Velocity of Cam [ω]			+10% -10%
✖Radius of the Base Circle is the radius of the circular base of the cam follower, which is a crucial component in mechanical systems.ⓘ Radius of the Base Circle [r₁]			+10% -10%
✖Radius of Roller is the distance from the center of the roller to its periphery in a cam and follower mechanism, affecting the motion of the follower.ⓘ Radius of Roller [r_roller]			+10% -10%
✖Angle Turned by Cam from Beginning of Roller is the rotation of the cam from the starting point of the roller in a cam-follower mechanism.ⓘ Angle Turned by Cam from Beginning of Roller [θ]			+10% -10%

✖Velocity is the speed at which the follower moves in a specific direction, typically measured in meters per second, in a cam and follower mechanism.ⓘ Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks [v]

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Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity = Angular Velocity of Cam*(Radius of the Base Circle+Radius of Roller)*sin(Angle Turned by Cam from Beginning of Roller)/((cos(Angle Turned by Cam from Beginning of Roller))^2)
v = ω*(r₁+r_roller)*sin(θ)/((cos(θ))^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

Velocity - (Measured in Meter per Second) - Velocity is the speed at which the follower moves in a specific direction, typically measured in meters per second, in a cam and follower mechanism.
Angular Velocity of Cam - (Measured in Radian per Second) - Angular Velocity of Cam is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion.
Radius of the Base Circle - (Measured in Meter) - Radius of the Base Circle is the radius of the circular base of the cam follower, which is a crucial component in mechanical systems.
Radius of Roller - (Measured in Meter) - Radius of Roller is the distance from the center of the roller to its periphery in a cam and follower mechanism, affecting the motion of the follower.
Angle Turned by Cam from Beginning of Roller - (Measured in Radian) - Angle Turned by Cam from Beginning of Roller is the rotation of the cam from the starting point of the roller in a cam-follower mechanism.

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: 33.37 Meter --> 33.37 Meter No Conversion Required
Angle Turned by Cam from Beginning of Roller: 170 Radian --> 170 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = ω*(r₁+r_roller)*sin(θ)/((cos(θ))^2) --> 27*(3+33.37)*sin(170)/((cos(170))^2)

Evaluating ... ...

v = 386.898254480847

STEP 3: Convert Result to Output's Unit

386.898254480847 Meter per Second --> No Conversion Required

FINAL ANSWER

386.898254480847 ≈ 386.8983 Meter per Second <-- Velocity

(Calculation completed in 00.020 seconds)

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Home » Physics » Theory of Machine » Cams » Cam and Follower » Mechanical » Tangent Cam » Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks

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National Institute Of Technology (NIT), Hamirpur

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< Tangent Cam Calculators

Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose

LaTeX Go Velocity = Angular Velocity of Cam*Distance b/w Cam Center and Nose Center*(sin(Angle Turned by Cam when Roller is at Nose Top)+(Distance b/w Cam Center and Nose Center*sin(2*Angle Turned by Cam when Roller is at Nose Top))/(2*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)))

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

LaTeX Go Displacement of Roller = Distance b/w Roller Centre and Nose Centre+Distance b/w Cam Center and Nose Center-Distance b/w Cam Center and Nose Center*cos(Angle Turned by Cam when Roller is at Nose Top)-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)

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks

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

Distance between Roller Center and Nose Center of Tangent Cam with Roller Follower

LaTeX Go Distance b/w Roller Centre and Nose Centre = Radius of Roller+Radius of Nose

Velocity of Follower for Roller Follower Tangent Cam if Contact is 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 Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks calculator uses Velocity = Angular Velocity of Cam*(Radius of the Base Circle+Radius of Roller)*sin(Angle Turned by Cam from Beginning of Roller)/((cos(Angle Turned by Cam from Beginning of Roller))^2) to calculate the Velocity, Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks formula is defined as a measure of the velocity of the follower in a cam-follower system where the contact is with straight flanks, providing insight into the kinematics of the system and enabling the design of efficient mechanical systems. Velocity is denoted by v symbol.

How to calculate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks using this online calculator? To use this online calculator for Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks, enter Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_roller) & Angle Turned by Cam from Beginning of Roller (θ) and hit the calculate button. Here is how the Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks calculation can be explained with given input values -> -14862.166152 = 27*(3+33.37)*sin(170)/((cos(170))^2).

FAQ

What is Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks formula is defined as a measure of the velocity of the follower in a cam-follower system where the contact is with straight flanks, providing insight into the kinematics of the system and enabling the design of efficient mechanical systems and is represented as v = ω*(r₁+r_roller)*sin(θ)/((cos(θ))^2) or Velocity = Angular Velocity of Cam*(Radius of the Base Circle+Radius of Roller)*sin(Angle Turned by Cam from Beginning of Roller)/((cos(Angle Turned by Cam from Beginning of Roller))^2). Angular Velocity of Cam is the rate of change of angular displacement of the cam with respect to time, describing the cam's rotational motion, Radius of the Base Circle is the radius of the circular base of the cam follower, which is a crucial component in mechanical systems, Radius of Roller is the distance from the center of the roller to its periphery in a cam and follower mechanism, affecting the motion of the follower & Angle Turned by Cam from Beginning of Roller is the rotation of the cam from the starting point of the roller in a cam-follower mechanism.

How to calculate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?

Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks formula is defined as a measure of the velocity of the follower in a cam-follower system where the contact is with straight flanks, providing insight into the kinematics of the system and enabling the design of efficient mechanical systems is calculated using Velocity = Angular Velocity of Cam*(Radius of the Base Circle+Radius of Roller)*sin(Angle Turned by Cam from Beginning of Roller)/((cos(Angle Turned by Cam from Beginning of Roller))^2). To calculate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks, you need Angular Velocity of Cam (ω), Radius of the Base Circle (r₁), Radius of Roller (r_roller) & 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 Velocity?

In this formula, Velocity uses Angular Velocity of Cam, Radius of the Base Circle, Radius of Roller & Angle Turned by Cam from Beginning of Roller. We can use 1 other way(s) to calculate the same, which is/are as follows -

Velocity = Angular Velocity of Cam*Distance b/w Cam Center and Nose Center*(sin(Angle Turned by Cam when Roller is at Nose Top)+(Distance b/w Cam Center and Nose Center*sin(2*Angle Turned by Cam when Roller is at Nose Top))/(2*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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