Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower Calculator

✖Angle of Ascent is the angle between the tangent to the cam profile and the direction of follower motion at a particular point.ⓘ Angle of Ascent [α]			+10% -10%
✖Angle Turned by the Cam for Contact of Roller is the angle at which the cam turns to make contact with the roller in a cam-follower system.ⓘ Angle Turned by the Cam for Contact of Roller [φ]			+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.ⓘ Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower [θ₁]

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Formula

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Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower

Formula

θ 1 = α - φ

Example

0.785 rad = 1.285 rad - 0.5 rad

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Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller
θ₁ = α-φ
This formula uses 3 Variables

Variables Used

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.
Angle of Ascent - (Measured in Radian) - Angle of Ascent is the angle between the tangent to the cam profile and the direction of follower motion at a particular point.
Angle Turned by the Cam for Contact of Roller - (Measured in Radian) - Angle Turned by the Cam for Contact of Roller is the angle at which the cam turns to make contact with the roller in a cam-follower system.

STEP 1: Convert Input(s) to Base Unit

Angle of Ascent: 1.285 Radian --> 1.285 Radian 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

θ₁ = α-φ --> 1.285-0.5

Evaluating ... ...

θ₁ = 0.785

STEP 3: Convert Result to Output's Unit

0.785 Radian --> No Conversion Required

FINAL ANSWER

0.785 Radian <-- Angle Turned by Cam when Roller is at Nose Top

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Cams » Cam and Follower » Mechanical » Tangent Cam » Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower

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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

Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower Formula

Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller
θ₁ = α-φ

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 center line of the cam shaft and hence they fall into a category of cams with specified contours. Tangent cams are symmetrical about the center line of the cam shaft.

How to Calculate Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower?

Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower calculator uses Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller to calculate the Angle Turned by Cam when Roller is at Nose Top, Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower formula is defined as a critical parameter in cam and follower design, specifying the angle at which the roller starts to contact the cam's nose tangent, ensuring smooth motion and preventing interference. Angle Turned by Cam when Roller is at Nose Top is denoted by θ₁ symbol.

How to calculate Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower using this online calculator? To use this online calculator for Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower, enter Angle of Ascent (α) & Angle Turned by the Cam for Contact of Roller (φ) and hit the calculate button. Here is how the Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower calculation can be explained with given input values -> 0.547 = 1.285-0.5.

FAQ

What is Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower?

Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower formula is defined as a critical parameter in cam and follower design, specifying the angle at which the roller starts to contact the cam's nose tangent, ensuring smooth motion and preventing interference and is represented as θ₁ = α-φ or Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller. Angle of Ascent is the angle between the tangent to the cam profile and the direction of follower motion at a particular point & Angle Turned by the Cam for Contact of Roller is the angle at which the cam turns to make contact with the roller in a cam-follower system.

How to calculate Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower?

Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower formula is defined as a critical parameter in cam and follower design, specifying the angle at which the roller starts to contact the cam's nose tangent, ensuring smooth motion and preventing interference is calculated using Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller. To calculate Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower, you need Angle of Ascent (α) & Angle Turned by the Cam for Contact of Roller (φ). With our tool, you need to enter the respective value for Angle of Ascent & 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.

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