Displacement of Needle for Tangent Cam with Needle-Bearing Follower Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
d = (r1+rroller)*((1-cos(θ))/cos(θ))
This formula uses 1 Functions, 4 Variables
Functions Used
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
Displacement - (Measured in Meter) - Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
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
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
d = (r1+rroller)*((1-cos(θ))/cos(θ)) --> (3+31)*((1-cos(0.43))/cos(0.43))
Evaluating ... ...
d = 3.40514976737129
STEP 3: Convert Result to Output's Unit
3.40514976737129 Meter --> No Conversion Required
FINAL ANSWER
3.40514976737129 3.40515 Meter <-- Displacement
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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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

Displacement of Needle for Tangent Cam with Needle-Bearing Follower Formula

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))
d = (r1+rroller)*((1-cos(θ))/cos(θ))

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 Displacement of Needle for Tangent Cam with Needle-Bearing Follower?

Displacement of Needle for Tangent Cam with Needle-Bearing Follower calculator uses 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)) to calculate the Displacement, The Displacement of needle for tangent cam with needle-bearing follower formula is defined as the change in position of an object. Displacement is denoted by d symbol.

How to calculate Displacement of Needle for Tangent Cam with Needle-Bearing Follower using this online calculator? To use this online calculator for Displacement of Needle for Tangent Cam with Needle-Bearing Follower, enter 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 Displacement of Needle for Tangent Cam with Needle-Bearing Follower calculation can be explained with given input values -> 0.901363 = (3+31)*((1-cos(0.43))/cos(0.43)).

FAQ

What is Displacement of Needle for Tangent Cam with Needle-Bearing Follower?
The Displacement of needle for tangent cam with needle-bearing follower formula is defined as the change in position of an object and is represented as d = (r1+rroller)*((1-cos(θ))/cos(θ)) or 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)). 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 Displacement of Needle for Tangent Cam with Needle-Bearing Follower?
The Displacement of needle for tangent cam with needle-bearing follower formula is defined as the change in position of an object is calculated using 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)). To calculate Displacement of Needle for Tangent Cam with Needle-Bearing Follower, you need 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 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 Displacement?
In this formula, Displacement uses 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 -
  • 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)
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