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

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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. Check FAQs

θ 1 = α - φ

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

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

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Here is how the Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower equation looks like with Values.

Here is how the Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower equation looks like with Units.

Here is how the Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower equation looks like.

0.785 = 1.285 - 0.5

0.785rad = 1.285rad - 0.5rad

0.785 = 1.285 - 0.5

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Theory of Machine » fx 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 Solution

Follow our step by step solution on how to calculate Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower?

FIRST Step Consider the formula

θ 1 = α - φ

Next Step Substitute values of Variables

∴

θ 1 = 1.285rad - 0.5rad

Next Step Prepare to Evaluate

∴

θ 1 = 1.285 - 0.5

LAST Step Evaluate

∴

θ 1 = 0.785rad

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

Variables

Angle Turned by Cam when Roller is at Nose Top

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.

Symbol: θ₁

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by Cam when Roller is at Nose Top

Angle of Ascent

Angle of Ascent is the angle between the tangent to the cam profile and the direction of follower motion at a particular point.

Symbol: α

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle of Ascent

Angle Turned by the Cam for Contact of Roller

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.

Symbol: φ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by the Cam for Contact of Roller

Other formulas in Tangent Cam category

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

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}}})

Go Velocity of Follower for Roller Follower Tangent Cam if Contact is with Straight Flanks

v = ω \cdot (r 1 + r roller) \cdot \frac{\sin (θ)}{{(\cos (θ))}^{2}}

Go Distance between Roller Center and Nose Center of Tangent Cam with Roller Follower

L = r roller + r nose

Go Displacement of Roller of Tangent Cam with Roller Follower, when there's Nose Contact

d roller = L + r - r \cdot \cos (θ 1) - \sqrt{L^{2} - r^{2} \cdot {(\sin (θ 1))}^{2}}

How to Evaluate 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 evaluator uses Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller to evaluate 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 evaluate Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower using this online evaluator? To use this online evaluator 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.

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

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

The formula of Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower is expressed as Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller. Here is an example- 0.547 = 1.285-0.5.

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

With Angle of Ascent (α) & Angle Turned by the Cam for Contact of Roller (φ) we can find Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower using the formula - Angle Turned by Cam when Roller is at Nose Top = Angle of Ascent-Angle Turned by the Cam for Contact of Roller.

Can the Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower be negative?

No, the Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower, measured in Angle cannot be negative.

Which unit is used to measure 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 is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Condition for Contact of Roller if Straight Flank Merges into Nose Tangent Cam with Roller Follower can be measured.

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

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

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

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

Other formulas in Tangent Cam category

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

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

Variable Name