GATE Exam > GATE Questions > A metric thread of pitch 3mm and diameter 30m...
Start Learning for Free
A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm is
- a)1.44 mm
- b)2.88 mm
- c)1.73 mm
- d)0.72 mm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A metric thread of pitch 3mm and diameter 30mm, inspected for its pitc...
For metric thread included angle is taken 600
Most Upvoted Answer
A metric thread of pitch 3mm and diameter 30mm, inspected for its pitc...
Finding the Best Size Wire for Inspecting Pitch Diameter using the 2-Wire Method
Given:
- Metric thread with a pitch of 3mm and a diameter of 30mm.
- Inspecting the pitch diameter using the 2-wire method.
To Find:
The diameter of the best size wire in mm.
Solution:
The 2-wire method is used to inspect the pitch diameter of a threaded object by placing two wires, typically of the same diameter, tangent to the flanks of the thread. The pitch diameter can then be calculated using the following formula:
Pitch Diameter = Thread Major Diameter - (2 x Wire Diameter)
Step 1: Calculate the thread major diameter:
The thread major diameter is the outer diameter of the threaded object. In this case, the given diameter is 30mm, so the thread major diameter is also 30mm.
Step 2: Choose the wire diameter:
The wire diameter should be chosen such that it is the best fit between the thread flanks. It should touch the flanks without any gaps or overlaps. The wire diameter can be calculated using the following formula:
Wire Diameter = Pitch / (2 x sin(30°))
Given that the pitch is 3mm, we can substitute the value into the formula:
Wire Diameter = 3 / (2 x sin(30°))
Step 3: Calculate the best size wire diameter:
To calculate the best size wire diameter, we need to consider the tolerance of the pitch diameter. The tolerance for the pitch diameter can be given by the formula:
Tolerance = 0.6134 x Wire Diameter
Substituting the calculated wire diameter into the formula, we get:
Tolerance = 0.6134 x (3 / (2 x sin(30°)))
Step 4: Calculate the best size wire diameter:
The best size wire diameter is given by the formula:
Best Size Wire Diameter = Wire Diameter - Tolerance
Substituting the values into the formula, we get:
Best Size Wire Diameter = (3 / (2 x sin(30°))) - 0.6134 x (3 / (2 x sin(30°)))
Simplifying the expression, we get:
Best Size Wire Diameter = 1.732 x (3 / (2 x sin(30°)))
Calculating the value, we find that the best size wire diameter is approximately 1.73mm.
Therefore, the correct answer is option C, 1.73mm.
Given:
- Metric thread with a pitch of 3mm and a diameter of 30mm.
- Inspecting the pitch diameter using the 2-wire method.
To Find:
The diameter of the best size wire in mm.
Solution:
The 2-wire method is used to inspect the pitch diameter of a threaded object by placing two wires, typically of the same diameter, tangent to the flanks of the thread. The pitch diameter can then be calculated using the following formula:
Pitch Diameter = Thread Major Diameter - (2 x Wire Diameter)
Step 1: Calculate the thread major diameter:
The thread major diameter is the outer diameter of the threaded object. In this case, the given diameter is 30mm, so the thread major diameter is also 30mm.
Step 2: Choose the wire diameter:
The wire diameter should be chosen such that it is the best fit between the thread flanks. It should touch the flanks without any gaps or overlaps. The wire diameter can be calculated using the following formula:
Wire Diameter = Pitch / (2 x sin(30°))
Given that the pitch is 3mm, we can substitute the value into the formula:
Wire Diameter = 3 / (2 x sin(30°))
Step 3: Calculate the best size wire diameter:
To calculate the best size wire diameter, we need to consider the tolerance of the pitch diameter. The tolerance for the pitch diameter can be given by the formula:
Tolerance = 0.6134 x Wire Diameter
Substituting the calculated wire diameter into the formula, we get:
Tolerance = 0.6134 x (3 / (2 x sin(30°)))
Step 4: Calculate the best size wire diameter:
The best size wire diameter is given by the formula:
Best Size Wire Diameter = Wire Diameter - Tolerance
Substituting the values into the formula, we get:
Best Size Wire Diameter = (3 / (2 x sin(30°))) - 0.6134 x (3 / (2 x sin(30°)))
Simplifying the expression, we get:
Best Size Wire Diameter = 1.732 x (3 / (2 x sin(30°)))
Calculating the value, we find that the best size wire diameter is approximately 1.73mm.
Therefore, the correct answer is option C, 1.73mm.
|
Explore Courses for GATE exam
|
|
Top Courses for GATEView all
Question Description
A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer?.
A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A metric thread of pitch 3mm and diameter 30mm, inspected for its pitch diameter using 2- wire method. The diameter of best size wire in mm isa)1.44 mmb)2.88 mmc)1.73 mmd)0.72 mmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup