Micrometer reading per measurement Solution

STEP 0: Pre-Calculation Summary
Formula Used
Micrometer Reading of Unsymmetrical Threads = Pitch Diameter of Unsymmetrical Threads-(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))
Mun = Dun-(Pt/(tan(a1)+tan(a2)))+Gun*(1+cosec((a1+a2)/2)*cos((a1-a2)/2))
This formula uses 4 Functions, 6 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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., sec(Angle)
cosec - The cosecant function is a trigonometric function that is the reciprocal of the sine function., cosec(Angle)
Variables Used
Micrometer Reading of Unsymmetrical Threads - (Measured in Meter) - Micrometer Reading of Unsymmetrical Threads is the reading of an instrument which can measure thickness of very small objects.
Pitch Diameter of Unsymmetrical Threads - (Measured in Meter) - Pitch Diameter of Unsymmetrical Threads is the diameter of the basic cylindrical shape on which threads are created.
Screw Pitch of Unsymmetrical Threads - (Measured in Meter) - Screw Pitch of Unsymmetrical Threads is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
Large Angle - (Measured in Radian) - Large angle is the angle specified by the manufacturer of given unsymmetrical thread.
Small Angle - (Measured in Radian) - A Small Angle is an angle specified by the manufacturer for the given thread.
Wire Diameter of Unsymmetrical Threads - (Measured in Meter) - The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements.
STEP 1: Convert Input(s) to Base Unit
Pitch Diameter of Unsymmetrical Threads: 6.99 Millimeter --> 0.00699 Meter (Check conversion here)
Screw Pitch of Unsymmetrical Threads: 2.99 Millimeter --> 0.00299 Meter (Check conversion here)
Large Angle: 0.5 Degree --> 0.00872664625997001 Radian (Check conversion here)
Small Angle: 0.2 Degree --> 0.003490658503988 Radian (Check conversion here)
Wire Diameter of Unsymmetrical Threads: 1.66 Millimeter --> 0.00166 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mun = Dun-(Pt/(tan(a1)+tan(a2)))+Gun*(1+cosec((a1+a2)/2)*cos((a1-a2)/2)) --> 0.00699-(0.00299/(tan(0.00872664625997001)+tan(0.003490658503988)))+0.00166*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2))
Evaluating ... ...
Mun = 0.0356663478661629
STEP 3: Convert Result to Output's Unit
0.0356663478661629 Meter -->35.6663478661629 Millimeter (Check conversion here)
FINAL ANSWER
35.6663478661629 35.66635 Millimeter <-- Micrometer Reading of Unsymmetrical Threads
(Calculation completed in 00.004 seconds)

Credits

Created by Rajat Vishwakarma
University Institute of Technology RGPV (UIT - RGPV), Bhopal
Rajat Vishwakarma has created this Calculator and 400+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

6 Unsymmetrical threads Calculators

Pitch diameter unsymmetrical threads
Go Pitch Diameter of Unsymmetrical Threads = Micrometer Reading of Unsymmetrical Threads+(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))-Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))
Pitch of screw unsymmetrical threads
Go Screw Pitch of Unsymmetrical Threads = (Pitch Diameter of Unsymmetrical Threads+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))-Micrometer Reading of Unsymmetrical Threads)*(tan(Large Angle)+tan(Small Angle))
Micrometer reading per measurement
Go Micrometer Reading of Unsymmetrical Threads = Pitch Diameter of Unsymmetrical Threads-(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))
Best size wire
Go Wire Diameter of Unsymmetrical Threads = Screw Pitch of Unsymmetrical Threads*((tan((Large Angle+Small Angle)/2)*sec(Large Angle))/(tan(Large Angle)+tan(Small Angle)))
Best wire size for modified buttress 45deg and 7deg
Go Wire Diameter of Unsymmetrical Threads = 0.54147*Screw Pitch of Unsymmetrical Threads
Pitch for modified buttress 45deg and 7deg
Go Screw Pitch of Unsymmetrical Threads = Wire Diameter of Unsymmetrical Threads/0.54147

Micrometer reading per measurement Formula

Micrometer Reading of Unsymmetrical Threads = Pitch Diameter of Unsymmetrical Threads-(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2))
Mun = Dun-(Pt/(tan(a1)+tan(a2)))+Gun*(1+cosec((a1+a2)/2)*cos((a1-a2)/2))

What is the use of Three wire method ?

The accurate measurement of thread pitch diameter, which may be perfect as to form and lead, presents certain difficulties which result in some uncertainty as to its true value. The adoption of a standard uniform practice in making such measurements is, therefore, desirable in order to reduce such uncertainty of measurement to a minimum. The “three-wire method” of measuring thread pitch diameter, has been found to be the most generally satisfactory method when properly carried out, and is recommended for universal use in the direct measurement of thread plug and thread setting plug gauges.

How to Calculate Micrometer reading per measurement?

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

How to calculate Micrometer reading per measurement using this online calculator? To use this online calculator for Micrometer reading per measurement, enter Pitch Diameter of Unsymmetrical Threads (Dun), Screw Pitch of Unsymmetrical Threads (Pt), Large Angle (a1), Small Angle (a2) & Wire Diameter of Unsymmetrical Threads (Gun) and hit the calculate button. Here is how the Micrometer reading per measurement calculation can be explained with given input values -> 35666.35 = 0.00699-(0.00299/(tan(0.00872664625997001)+tan(0.003490658503988)))+0.00166*(1+cosec((0.00872664625997001+0.003490658503988)/2)*cos((0.00872664625997001-0.003490658503988)/2)).

FAQ

What is Micrometer reading per measurement?
The Micrometer reading per measurement formula is defined as the reading of an instrument which can measure thickness of very small objects and is represented as Mun = Dun-(Pt/(tan(a1)+tan(a2)))+Gun*(1+cosec((a1+a2)/2)*cos((a1-a2)/2)) or Micrometer Reading of Unsymmetrical Threads = Pitch Diameter of Unsymmetrical Threads-(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2)). Pitch Diameter of Unsymmetrical Threads is the diameter of the basic cylindrical shape on which threads are created, Screw Pitch of Unsymmetrical Threads is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch, Large angle is the angle specified by the manufacturer of given unsymmetrical thread, A Small Angle is an angle specified by the manufacturer for the given thread & The Wire Diameter of Unsymmetrical Threads is the diameter of the wire in thread measurements.
How to calculate Micrometer reading per measurement?
The Micrometer reading per measurement formula is defined as the reading of an instrument which can measure thickness of very small objects is calculated using Micrometer Reading of Unsymmetrical Threads = Pitch Diameter of Unsymmetrical Threads-(Screw Pitch of Unsymmetrical Threads/(tan(Large Angle)+tan(Small Angle)))+Wire Diameter of Unsymmetrical Threads*(1+cosec((Large Angle+Small Angle)/2)*cos((Large Angle-Small Angle)/2)). To calculate Micrometer reading per measurement, you need Pitch Diameter of Unsymmetrical Threads (Dun), Screw Pitch of Unsymmetrical Threads (Pt), Large Angle (a1), Small Angle (a2) & Wire Diameter of Unsymmetrical Threads (Gun). With our tool, you need to enter the respective value for Pitch Diameter of Unsymmetrical Threads, Screw Pitch of Unsymmetrical Threads, Large Angle, Small Angle & Wire Diameter of Unsymmetrical Threads 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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