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

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Displacement of Needle is the linear movement of the needle in a cam and follower mechanism, indicating the follower's oscillatory motion. Check FAQs

d needle = (r 1 + r roller) \cdot (\frac{1 - \cos (θ)}{\cos (θ)})

d_needle - Displacement of Needle?r₁ - Radius of the Base Circle?r_roller - Radius of Roller?θ - Angle Turned by Cam from Beginning of Roller?

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

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Here is how the Displacement of Needle for Tangent Cam with Needle-Bearing Follower equation looks like with Values.

Here is how the Displacement of Needle for Tangent Cam with Needle-Bearing Follower equation looks like with Units.

Here is how the Displacement of Needle for Tangent Cam with Needle-Bearing Follower equation looks like.

2.4042 = (3 + 33.37) \cdot (\frac{1 - \cos (170)}{\cos (170)})

2.4042m = (3m + 33.37m) \cdot (\frac{1 - \cos (170rad)}{\cos (170rad)})

2.4042 = (3 + 33.37) \cdot (\frac{1 - \cos (170)}{\cos (170)})

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

Follow our step by step solution on how to calculate Displacement of Needle for Tangent Cam with Needle-Bearing Follower?

FIRST Step Consider the formula

d needle = (r 1 + r roller) \cdot (\frac{1 - \cos (θ)}{\cos (θ)})

Next Step Substitute values of Variables

∴

d needle = (3m + 33.37m) \cdot (\frac{1 - \cos (170rad)}{\cos (170rad)})

Next Step Prepare to Evaluate

∴

d needle = (3 + 33.37) \cdot (\frac{1 - \cos (170)}{\cos (170)})

Next Step Evaluate

∴

d needle = 2.40420413901074m

LAST Step Rounding Answer

∴

d needle = 2.4042m

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

Variables

Functions

Displacement of Needle

Displacement of Needle is the linear movement of the needle in a cam and follower mechanism, indicating the follower's oscillatory motion.

Symbol: d_needle

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Needle

Radius of the Base Circle

Radius of the Base Circle is the radius of the circular base of the cam follower, which is a crucial component in mechanical systems.

Symbol: r₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of the Base Circle

Radius of Roller

Radius of Roller is the distance from the center of the roller to its periphery in a cam and follower mechanism, affecting the motion of the follower.

Symbol: r_roller

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Roller

Angle Turned by Cam from Beginning of Roller

Angle Turned by Cam from Beginning of Roller is the rotation of the cam from the starting point of the roller in a cam-follower mechanism.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle Turned by Cam from Beginning of Roller

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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

Displacement of Needle for Tangent Cam with Needle-Bearing Follower evaluator uses Displacement of Needle = (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 evaluate the Displacement of Needle, Displacement of Needle for Tangent Cam with Needle-Bearing Follower formula is defined as the measure of the movement of the needle in a tangent cam with a needle-bearing follower, which is a critical component in mechanical systems, particularly in engines and gear mechanisms. Displacement of Needle is denoted by d_needle symbol.

How to evaluate Displacement of Needle for Tangent Cam with Needle-Bearing Follower using this online evaluator? To use this online evaluator for Displacement of Needle for Tangent Cam with Needle-Bearing Follower, enter Radius of the Base Circle (r₁), Radius of Roller (r_roller) & Angle Turned by Cam from Beginning of Roller (θ) and hit the calculate button.

FAQs on Displacement of Needle for Tangent Cam with Needle-Bearing Follower

What is the formula to find Displacement of Needle for Tangent Cam with Needle-Bearing Follower?

The formula of Displacement of Needle for Tangent Cam with Needle-Bearing Follower is expressed as Displacement of Needle = (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)). Here is an example- 2.404204 = (3+33.37)*((1-cos(170))/cos(170)).

How to calculate Displacement of Needle for Tangent Cam with Needle-Bearing Follower?

With Radius of the Base Circle (r₁), Radius of Roller (r_roller) & Angle Turned by Cam from Beginning of Roller (θ) we can find Displacement of Needle for Tangent Cam with Needle-Bearing Follower using the formula - Displacement of Needle = (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)). This formula also uses Cosine (cos) function(s).

Can the Displacement of Needle for Tangent Cam with Needle-Bearing Follower be negative?

Yes, the Displacement of Needle for Tangent Cam with Needle-Bearing Follower, measured in Length can be negative.

Which unit is used to measure Displacement of Needle for Tangent Cam with Needle-Bearing Follower?

Displacement of Needle for Tangent Cam with Needle-Bearing Follower is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Displacement of Needle for Tangent Cam with Needle-Bearing Follower can be measured.

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

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

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

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

Other formulas in Tangent Cam category

How to Evaluate Displacement of Needle for Tangent Cam with Needle-Bearing Follower?

FAQs on Displacement of Needle for Tangent Cam with Needle-Bearing Follower

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