Micrometer reading from three wire system method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Micrometer Reading of Metric Thread = Pitch Diameter of Metric Thread+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2
Mm = Dm+Gm*(1+cosec(θ))-(Pm*cot(θ))/2
This formula uses 3 Functions, 5 Variables
Functions Used
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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 Metric Thread - (Measured in Meter) - Micrometer Reading of Metric Thread is the reading of an instrument which can measure thickness of very small objects.
Pitch Diameter of Metric Thread - (Measured in Meter) - Pitch Diameter of Metric Thread is the diameter of the basic cylindrical shape on which threads are created.
Wire Diameter Metric Thread - (Measured in Meter) - 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.
Thread Angle - (Measured in Radian) - Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis.
Screw Pitch of Metric Thread - (Measured in Meter) - Screw Pitch of Metric Thread is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
STEP 1: Convert Input(s) to Base Unit
Pitch Diameter of Metric Thread: 7 Millimeter --> 0.007 Meter (Check conversion here)
Wire Diameter Metric Thread: 5.5 Millimeter --> 0.0055 Meter (Check conversion here)
Thread Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Screw Pitch of Metric Thread: 1.5 Millimeter --> 0.0015 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mm = Dm+Gm*(1+cosec(θ))-(Pm*cot(θ))/2 --> 0.007+0.0055*(1+cosec(1.0471975511964))-(0.0015*cot(1.0471975511964))/2
Evaluating ... ...
Mm = 0.0184178402591942
STEP 3: Convert Result to Output's Unit
0.0184178402591942 Meter -->18.4178402591942 Millimeter (Check conversion here)
FINAL ANSWER
18.4178402591942 18.41784 Millimeter <-- Micrometer Reading of Metric Thread
(Calculation completed in 00.020 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!

7 Metric Thread Calculators

Diameter of wire used in three wire system method
Go Wire Diameter Metric Thread = (Micrometer Reading of Metric Thread-Pitch Diameter of Metric Thread+(Screw Pitch of Metric Thread*cot(Thread Angle))/2)/(1+cosec(Thread Angle))
Pitch of thread from three wire system method
Go Screw Pitch of Metric Thread = (Pitch Diameter of Metric Thread+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-Micrometer Reading of Metric Thread)/(cot(Thread Angle)/2)
Pitch diameter from three wire system method
Go Pitch Diameter of Metric Thread = Micrometer Reading of Metric Thread-(Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2)
Micrometer reading from three wire system method
Go Micrometer Reading of Metric Thread = Pitch Diameter of Metric Thread+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2
Thread angle given ideal wire diameter
Go Thread Angle = 2*arcsec((2*Wire Diameter Metric Thread)/Screw Pitch of Metric Thread)
Ideal wire diameter in three wire system method
Go Wire Diameter Metric Thread = (Screw Pitch of Metric Thread/2)*sec(Thread Angle/2)
Pitch of thread given ideal wire diameter
Go Screw Pitch of Metric Thread = (2*Wire Diameter Metric Thread)/sec(Thread Angle/2)

Micrometer reading from three wire system method Formula

Micrometer Reading of Metric Thread = Pitch Diameter of Metric Thread+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2
Mm = Dm+Gm*(1+cosec(θ))-(Pm*cot(θ))/2

What is pitch? What is pitch diameter?

Pitch is the distance from a point on the screw thread to a corresponding point on the next thread measured parallel to the axis. Pitch Diameter is the simple effective diameter of the screw thread, approximately halfway between the major and minor diameters.

How to Calculate Micrometer reading from three wire system method?

Micrometer reading from three wire system method calculator uses Micrometer Reading of Metric Thread = Pitch Diameter of Metric Thread+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2 to calculate the Micrometer Reading of Metric Thread, The Micrometer reading from three wire system method formula is defined as the reading taken using a width measuring instrument. Micrometer Reading of Metric Thread is denoted by Mm symbol.

How to calculate Micrometer reading from three wire system method using this online calculator? To use this online calculator for Micrometer reading from three wire system method, enter Pitch Diameter of Metric Thread (Dm), Wire Diameter Metric Thread (Gm), Thread Angle (θ) & Screw Pitch of Metric Thread (Pm) and hit the calculate button. Here is how the Micrometer reading from three wire system method calculation can be explained with given input values -> 18417.84 = 0.007+0.0055*(1+cosec(1.0471975511964))-(0.0015*cot(1.0471975511964))/2.

FAQ

What is Micrometer reading from three wire system method?
The Micrometer reading from three wire system method formula is defined as the reading taken using a width measuring instrument and is represented as Mm = Dm+Gm*(1+cosec(θ))-(Pm*cot(θ))/2 or Micrometer Reading of Metric Thread = Pitch Diameter of Metric Thread+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2. Pitch Diameter of Metric Thread is the diameter of the basic cylindrical shape on which threads are created, 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, Thread angle of a screw is the included angle between the thread flanks, measured in a plane containing the thread axis & Screw Pitch of Metric Thread is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.
How to calculate Micrometer reading from three wire system method?
The Micrometer reading from three wire system method formula is defined as the reading taken using a width measuring instrument is calculated using Micrometer Reading of Metric Thread = Pitch Diameter of Metric Thread+Wire Diameter Metric Thread*(1+cosec(Thread Angle))-(Screw Pitch of Metric Thread*cot(Thread Angle))/2. To calculate Micrometer reading from three wire system method, you need Pitch Diameter of Metric Thread (Dm), Wire Diameter Metric Thread (Gm), Thread Angle (θ) & Screw Pitch of Metric Thread (Pm). With our tool, you need to enter the respective value for Pitch Diameter of Metric Thread, Wire Diameter Metric Thread, Thread Angle & Screw Pitch of Metric Thread 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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