Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose 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%
✖Distance b/w cam center and nose center is the length between the center of the cam and the nose center in a cam-follower mechanism.ⓘ Distance b/w cam center and nose center [r]			+10% -10%
✖Angle turned by cam when roller is at nose top is the rotational movement of the cam when the roller is positioned at the highest point of the cam's nose.ⓘ Angle turned by cam when roller is at nose top [θ₁]			+10% -10%
✖Distance b/w Roller Centre and Nose Centre is the length between the centre of the roller and the nose centre in a cam and follower mechanism.ⓘ Distance b/w Roller Centre and Nose Centre [L]			+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 of Roller Follower Tangent Cam for Contact with Nose [v]

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Formula

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

Formula

v = ω \cdot r \cdot (\sin (θ 1) + \frac{r \cdot \sin (2 \cdot θ 1)}{2 \cdot \sqrt{L^{2} - r^{2} \cdot {(\sin (θ 1))}^{2}}})

Example

386.8601 m/s = 27 rad/s \cdot 15.192 m \cdot (\sin (0.785 rad) + \frac{15.192 m \cdot \sin (2 \cdot 0.785 rad)}{2 \cdot \sqrt{{33.89 m}^{2} - {15.192 m}^{2} \cdot {(\sin (0.785 rad))}^{2}}})

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
v = ω*r*(sin(θ₁)+(r*sin(2*θ₁))/(2*sqrt(L^2-r^2*(sin(θ₁))^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)
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

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.
Distance b/w cam center and nose center - (Measured in Meter) - Distance b/w cam center and nose center is the length between the center of the cam and the nose center in a cam-follower mechanism.
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 rotational movement of the cam when the roller is positioned at the highest point of the cam's nose.
Distance b/w Roller Centre and Nose Centre - (Measured in Meter) - Distance b/w Roller Centre and Nose Centre is the length between the centre of the roller and the nose centre in a cam and 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
Distance b/w cam center and nose center: 15.192 Meter --> 15.192 Meter No Conversion Required
Angle turned by cam when roller is at nose top: 0.785 Radian --> 0.785 Radian No Conversion Required
Distance b/w Roller Centre and Nose Centre: 33.89 Meter --> 33.89 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = ω*r*(sin(θ₁)+(r*sin(2*θ₁))/(2*sqrt(L^2-r^2*(sin(θ₁))^2))) --> 27*15.192*(sin(0.785)+(15.192*sin(2*0.785))/(2*sqrt(33.89^2-15.192^2*(sin(0.785))^2)))

Evaluating ... ...

v = 386.860109887093

STEP 3: Convert Result to Output's Unit

386.860109887093 Meter per Second --> No Conversion Required

FINAL ANSWER

386.860109887093 ≈ 386.8601 Meter per Second <-- Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Cams » Cam and Follower » Mechanical » Tangent Cam » Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< Tangent Cam Calculators

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

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

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

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

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

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

Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose calculator uses 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))) to calculate the Velocity, Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose formula is defined as the velocity of the follower in a cam and follower system, which is a critical parameter in determining the performance and efficiency of the system, particularly when the follower is in contact with the nose of the cam. Velocity is denoted by v symbol.

How to calculate Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose using this online calculator? To use this online calculator for Velocity of Follower of Roller Follower Tangent Cam for 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 Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose calculation can be explained with given input values -> 386.795 = 27*15.192*(sin(0.785)+(15.192*sin(2*0.785))/(2*sqrt(33.89^2-15.192^2*(sin(0.785))^2))).

FAQ

What is Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose?

Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose formula is defined as the velocity of the follower in a cam and follower system, which is a critical parameter in determining the performance and efficiency of the system, particularly when the follower is in contact with the nose of the cam and is represented as v = ω*r*(sin(θ₁)+(r*sin(2*θ₁))/(2*sqrt(L^2-r^2*(sin(θ₁))^2))) or 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))). 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, Distance b/w cam center and nose center is the length between the center of the cam and the nose center in a cam-follower mechanism, Angle turned by cam when roller is at nose top is the rotational movement of the cam when the roller is positioned at the highest point of the cam's nose & Distance b/w Roller Centre and Nose Centre is the length between the centre of the roller and the nose centre in a cam and follower mechanism.

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

Velocity of Follower of Roller Follower Tangent Cam for Contact with Nose formula is defined as the velocity of the follower in a cam and follower system, which is a critical parameter in determining the performance and efficiency of the system, particularly when the follower is in contact with the nose of the cam is calculated using 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))). To calculate Velocity of Follower of Roller Follower Tangent Cam for 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 Velocity?

In this formula, Velocity 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 1 other way(s) to calculate the same, which is/are as follows -

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)

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