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Thread Angle given Ideal Wire Diameter Formula

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Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis. Check FAQs

θ = 2 \cdot a r c \sec (\frac{2 \cdot G m}{P})

θ - Thread Angle?G_m - Wire Diameter Metric Thread?P - Screw Pitch?

Thread Angle given Ideal Wire Diameter Example

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Here is how the Thread Angle given Ideal Wire Diameter equation looks like with Values.

Here is how the Thread Angle given Ideal Wire Diameter equation looks like with Units.

Here is how the Thread Angle given Ideal Wire Diameter equation looks like.

60.9006 = 2 \cdot a r c \sec (\frac{2 \cdot 1.74}{3})

60.9006° = 2 \cdot a r c \sec (\frac{2 \cdot 1.74mm}{3mm})

60.9006 = 2 \cdot a r c \sec (\frac{2 \cdot 1.74}{3})

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Thread Angle given Ideal Wire Diameter Solution

Follow our step by step solution on how to calculate Thread Angle given Ideal Wire Diameter?

FIRST Step Consider the formula

θ = 2 \cdot a r c \sec (\frac{2 \cdot G m}{P})

Next Step Substitute values of Variables

∴

θ = 2 \cdot a r c \sec (\frac{2 \cdot 1.74mm}{3mm})

Next Step Convert Units

∴

θ = 2 \cdot a r c \sec (\frac{2 \cdot 0.0017m}{0.003m})

Next Step Prepare to Evaluate

∴

θ = 2 \cdot a r c \sec (\frac{2 \cdot 0.0017}{0.003})

Next Step Evaluate

∴

θ = 1.0629164758777rad

Next Step Convert to Output's Unit

∴

θ = 60.9006280427227°

LAST Step Rounding Answer

∴

θ = 60.9006°

Thread Angle given Ideal Wire Diameter Formula Elements

Variables

Functions

Thread Angle

Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Thread Angle

Wire Diameter Metric Thread

Wire Diameter Metric Thread is any straight line segment that passes through the center of the wire circle and whose endpoints lie on the wire circle in the metric measurement system.

Symbol: G_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter Metric Thread

Screw Pitch

Screw Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

Symbol: P

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Screw Pitch

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

arcsec

Inverse trigonometric secant – Unary function.

Syntax: arcsec(x)

Other formulas in Metric Thread category

Go Ideal wire diameter in three wire system method

G m = (\frac{P}{2}) \cdot \sec (\frac{θ}{2})

Go Diameter of Wire used in Three Wire System Method

G m = \frac{M - D + \frac{P \cdot \cot (θ)}{2}}{1 + \cos e c (θ)}

Go Micrometer reading from three wire system method

M = D + G m \cdot (1 + \cos e c (θ)) - \frac{P \cdot \cot (θ)}{2}

Go Pitch diameter from three wire system method

D = M - (G m \cdot (1 + \cos e c (θ)) - \frac{P \cdot \cot (θ)}{2})

How to Evaluate Thread Angle given Ideal Wire Diameter?

Thread Angle given Ideal Wire Diameter evaluator uses Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch) to evaluate the Thread Angle, The Thread Angle given Ideal Wire Diameter formula is defined as the included angle between the thread flanks, measured in a plane containing the thread axis. Thread Angle is denoted by θ symbol.

How to evaluate Thread Angle given Ideal Wire Diameter using this online evaluator? To use this online evaluator for Thread Angle given Ideal Wire Diameter, enter Wire Diameter Metric Thread (G_m) & Screw Pitch (P) and hit the calculate button.

FAQs on Thread Angle given Ideal Wire Diameter

What is the formula to find Thread Angle given Ideal Wire Diameter?

The formula of Thread Angle given Ideal Wire Diameter is expressed as Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch). Here is an example- 3489.349 = 2*arcsec((2*0.00174)/0.003).

How to calculate Thread Angle given Ideal Wire Diameter?

With Wire Diameter Metric Thread (G_m) & Screw Pitch (P) we can find Thread Angle given Ideal Wire Diameter using the formula - Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch). This formula also uses Secant (sec), Inverse Trigonometric Secant (arcsec) function(s).

Can the Thread Angle given Ideal Wire Diameter be negative?

No, the Thread Angle given Ideal Wire Diameter, measured in Angle cannot be negative.

Which unit is used to measure Thread Angle given Ideal Wire Diameter?

Thread Angle given Ideal Wire Diameter is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Thread Angle given Ideal Wire Diameter can be measured.

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Thread Angle given Ideal Wire Diameter Formula

Thread Angle given Ideal Wire Diameter Example

Thread Angle given Ideal Wire Diameter Solution

Thread Angle given Ideal Wire Diameter Formula Elements

Other formulas in Metric Thread category

How to Evaluate Thread Angle given Ideal Wire Diameter?

FAQs on Thread Angle given Ideal Wire Diameter

Variable Name