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

✖Angle of ascent is defined as the angle moved by the cam from the instant the follower begins to rise, till it reaches its highest position.ⓘ Angle of ascent [α]			+10% -10%
✖Angle turned by the cam for contact of roller is the angle through which the cam turns while the follower remains stationary at the highest or the lowest position.ⓘ Angle turned by the cam for contact of roller [φ]			+10% -10%

✖Angle turned by cam when roller is at nose top is the angle turned by the cam measured from the position when the roller is at the top of the 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

`"0.547rad"="1.047rad"-"0.5rad"`

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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 angle turned by the cam measured from the position when the roller is at the top of the nose.
Angle of ascent - (Measured in Radian) - Angle of ascent is defined as the angle moved by the cam from the instant the follower begins to rise, till it reaches its highest position.
Angle turned by the cam for contact of roller - (Measured in Radian) - Angle turned by the cam for contact of roller is the angle through which the cam turns while the follower remains stationary at the highest or the lowest position.

STEP 1: Convert Input(s) to Base Unit

Angle of ascent: 1.047 Radian --> 1.047 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 --> 1.047-0.5

Evaluating ... ...

θ₁ = 0.547

STEP 3: Convert Result to Output's Unit

0.547 Radian --> No Conversion Required

FINAL ANSWER

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

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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

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, The Condition for contact of roller if straight flank merges into nose tangent cam with roller follower is defined as the relationship between angle turned by the cam measured from the position when the roller is at the top of the nose, angle of ascent, and angle turned by the cam for a contact of roller with the straight flank. 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 = 1.047-0.5.

FAQ

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

The Condition for contact of roller if straight flank merges into nose tangent cam with roller follower is defined as the relationship between angle turned by the cam measured from the position when the roller is at the top of the nose, angle of ascent, and angle turned by the cam for a contact of roller with the straight flank 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 defined as the angle moved by the cam from the instant the follower begins to rise, till it reaches its highest position & Angle turned by the cam for contact of roller is the angle through which the cam turns while the follower remains stationary at the highest or the lowest position.

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

The Condition for contact of roller if straight flank merges into nose tangent cam with roller follower is defined as the relationship between angle turned by the cam measured from the position when the roller is at the top of the nose, angle of ascent, and angle turned by the cam for a contact of roller with the straight flank 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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