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+rroller)*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 a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to 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 cam from beginning of roller - (Measured in Radian) - Angle turned by cam from beginning of roller is the angle through which the cam turns while the follower remains stationery 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 cam from beginning of roller: 0.43 Radian --> 0.43 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = ω*(r1+rroller)*sin(θ)/((cos(θ))^2) --> 27*(3+31)*sin(0.43)/((cos(0.43))^2)
Evaluating ... ...
v = 463.179277888442
STEP 3: Convert Result to Output's Unit
463.179277888442 Meter per Second --> No Conversion Required
FINAL ANSWER
463.179277888442 463.1793 Meter per Second <-- Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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6 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 = 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)
Displacement of Needle for Tangent Cam with Needle-Bearing Follower
Go Displacement = (Radius of the base circle+Radius of Roller)*((1-cos(Angle turned by cam from beginning of roller))/cos(Angle turned by cam from beginning of roller))
Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower
Go Angle turned by cam when roller is at nose top = Angle of ascent-Angle turned by the cam for contact of roller
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 for Roller Follower Tangent Cam if Contact is with Straight Flanks Formula

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+rroller)*sin(θ)/((cos(θ))^2)

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, The Velocity of follower for roller follower tangent cam if contact is with straight flanks formula is defined as the rate of change of its position with respect to a frame of reference. 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 (rroller) & 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 -> 463.1793 = 27*(3+31)*sin(0.43)/((cos(0.43))^2).

FAQ

What is Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?
The Velocity of follower for roller follower tangent cam if contact is with straight flanks formula is defined as the rate of change of its position with respect to a frame of reference and is represented as v = ω*(r1+rroller)*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 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 cam from beginning of roller is the angle through which the cam turns while the follower remains stationery at the highest or the lowest position.
How to calculate Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks?
The Velocity of follower for roller follower tangent cam if contact is with straight flanks formula is defined as the rate of change of its position with respect to a frame of reference 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 (rroller) & 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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