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Micrometer reading per measurement Formula

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Micrometer Reading is the reading of an instrument which can measure thickness of very small objects. Check FAQs

M = D u - (\frac{P}{\tan (a 1) + \tan (a 2)}) + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2}))

M - Micrometer Reading?D_u - Thickness of Screw?P - Screw Pitch?a₁ - Large Angle?a₂ - Small Angle?G - Wire Diameter?

Micrometer reading per measurement Example

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Here is how the Micrometer reading per measurement equation looks like with Values.

Here is how the Micrometer reading per measurement equation looks like with Units.

Here is how the Micrometer reading per measurement equation looks like.

8.2946 = 56.2 - (\frac{3}{\tan (0.5) + \tan (0.2)}) + 1.2 \cdot (1 + \cos e c (\frac{0.5 + 0.2}{2}) \cdot \cos (\frac{0.5 - 0.2}{2}))

8.2946mm = 56.2mm - (\frac{3mm}{\tan (0.5°) + \tan (0.2°)}) + 1.2mm \cdot (1 + \cos e c (\frac{0.5° + 0.2°}{2}) \cdot \cos (\frac{0.5° - 0.2°}{2}))

8.2946 = 56.2 - (\frac{3}{\tan (0.5) + \tan (0.2)}) + 1.2 \cdot (1 + \cos e c (\frac{0.5 + 0.2}{2}) \cdot \cos (\frac{0.5 - 0.2}{2}))

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Micrometer reading per measurement Solution

Follow our step by step solution on how to calculate Micrometer reading per measurement?

FIRST Step Consider the formula

M = D u - (\frac{P}{\tan (a 1) + \tan (a 2)}) + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2}))

Next Step Substitute values of Variables

∴

M = 56.2mm - (\frac{3mm}{\tan (0.5°) + \tan (0.2°)}) + 1.2mm \cdot (1 + \cos e c (\frac{0.5° + 0.2°}{2}) \cdot \cos (\frac{0.5° - 0.2°}{2}))

Next Step Convert Units

∴

M = 0.0562m - (\frac{0.003m}{\tan (0.0087rad) + \tan (0.0035rad)}) + 0.0012m \cdot (1 + \cos e c (\frac{0.0087rad + 0.0035rad}{2}) \cdot \cos (\frac{0.0087rad - 0.0035rad}{2}))

Next Step Prepare to Evaluate

∴

M = 0.0562 - (\frac{0.003}{\tan (0.0087) + \tan (0.0035)}) + 0.0012 \cdot (1 + \cos e c (\frac{0.0087 + 0.0035}{2}) \cdot \cos (\frac{0.0087 - 0.0035}{2}))

Next Step Evaluate

∴

M = 0.0082946177473647m

Next Step Convert to Output's Unit

∴

M = 8.2946177473647mm

LAST Step Rounding Answer

∴

M = 8.2946mm

Micrometer reading per measurement Formula Elements

Variables

Functions

Micrometer Reading

Micrometer Reading is the reading of an instrument which can measure thickness of very small objects.

Symbol: M

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Micrometer Reading

Thickness of Screw

Thickness of Screw in threaded fasteners, is the diameter at which the width of the thread ridge and the groove are equal.

Symbol: D_u

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Screw

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

Large Angle

Large Angle is the angle specified by the manufacturer of given unsymmetrical thread.

Symbol: a₁

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Large Angle

Small Angle

A Small Angle is an angle specified by the manufacturer for the given thread.

Symbol: a₂

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Small Angle

Wire Diameter

Wire Diameter is the diameter of the wire in thread measurements.

Symbol: G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wire Diameter

cos

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

Syntax: cos(Angle)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Other formulas in Unsymmetrical Threads category

Go Pitch diameter unsymmetrical threads

D u = M + (\frac{P}{\tan (a 1) + \tan (a 2)}) - G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2}))

Go Pitch of Screw Unsymmetrical Threads

P = (D u + G \cdot (1 + \cos e c (\frac{a 1 + a 2}{2}) \cdot \cos (\frac{a 1 - a 2}{2})) - M) \cdot (\tan (a 1) + \tan (a 2))

Go Best size wire

G = P \cdot (\frac{\tan (\frac{a 1 + a 2}{2}) \cdot \sec (a 1)}{\tan (a 1) + \tan (a 2)})

Go Best wire size for modified buttress 45deg and 7deg

G = 0.54147 \cdot P

How to Evaluate Micrometer reading per measurement?

Micrometer reading per measurement evaluator uses Micrometer Reading = Thickness of Screw-(Screw Pitch/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2)) to evaluate the Micrometer Reading, The Micrometer Reading per Measurement formula is defined as the reading of an instrument which can measure thickness of very small objects. Micrometer Reading is denoted by M symbol.

How to evaluate Micrometer reading per measurement using this online evaluator? To use this online evaluator for Micrometer reading per measurement, enter Thickness of Screw (D_u), Screw Pitch (P), Large Angle (a₁), Small Angle (a₂) & Wire Diameter (G) and hit the calculate button.

FAQs on Micrometer reading per measurement

What is the formula to find Micrometer reading per measurement?

The formula of Micrometer reading per measurement is expressed as Micrometer Reading = Thickness of Screw-(Screw Pitch/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2)). Here is an example- 22094.62 = 0.0562-(0.003/(tan(0.00872664625997001)+tan(0.003490658503988)))+0.0012*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2)).

How to calculate Micrometer reading per measurement?

With Thickness of Screw (D_u), Screw Pitch (P), Large Angle (a₁), Small Angle (a₂) & Wire Diameter (G) we can find Micrometer reading per measurement using the formula - Micrometer Reading = Thickness of Screw-(Screw Pitch/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2)). This formula also uses Cosine (cos)Tangent (tan)Secant (sec), Cosecant (cosec) function(s).

Can the Micrometer reading per measurement be negative?

No, the Micrometer reading per measurement, measured in Length cannot be negative.

Which unit is used to measure Micrometer reading per measurement?

Micrometer reading per measurement is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Micrometer reading per measurement can be measured.

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Micrometer reading per measurement Formula

Micrometer reading per measurement Example

Micrometer reading per measurement Solution

Micrometer reading per measurement Formula Elements

Other formulas in Unsymmetrical Threads category

How to Evaluate Micrometer reading per measurement?

FAQs on Micrometer reading per measurement

Variable Name