Mechanical Engineering Exam > Mechanical Engineering Questions > A 175 mm log workpiece is to be machined on a...
Start Learning for Free
A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min?
Most Upvoted Answer
A 175 mm log workpiece is to be machined on a shaper which has a cutti...
Solution:
Given,
Length of workpiece (L) = 175 mm
Cutting speed (V) = 30 m/min
Cutting stroke to idle stroke velocity ratio = 0.84
We know that,
Cutting speed (V) = (2*L*S*N)/(60*1000)
Where S is the stroke length and N is the number of strokes per minute.
Rearranging the above equation, we get
N = (V*60*1000)/(2*L*S)
Substituting the given values, we get
N = (30*60*1000)/(2*175*S)
N = 514.29/S
Now, we need to find the stroke/min of the shaping tool. Let the idle stroke velocity be V1 and cutting stroke velocity be V2. Then,
Cutting stroke to idle stroke velocity ratio = V2/V1 = 0.84
V2 = 0.84*V1
We know that the total time for one stroke is given by
T = (2*S)/(V1+V2)
The time for cutting stroke and idle stroke are given by
T2 = (S/V2) and T1 = (S/V1)
Therefore, the number of strokes per minute is given by
N = 60/(T1+T2) = 60*V1*S/(V1^2-V2^2)
Substituting V2 = 0.84*V1, we get
N = 60*V1*S/(V1^2-0.7056*V1^2)
N = 60*V1*S/(0.2944*V1^2)
N = 203.252/S
Equating the above two expressions for N, we get
514.29/S = 203.252/S
S = 2.53 mm
Therefore, the stroke/min of the shaping tool is
N = 514.29/2.53
N = 203.14 strokes/min
Therefore, the stroke/min of the shaping tool is 203.14.
Given,
Length of workpiece (L) = 175 mm
Cutting speed (V) = 30 m/min
Cutting stroke to idle stroke velocity ratio = 0.84
We know that,
Cutting speed (V) = (2*L*S*N)/(60*1000)
Where S is the stroke length and N is the number of strokes per minute.
Rearranging the above equation, we get
N = (V*60*1000)/(2*L*S)
Substituting the given values, we get
N = (30*60*1000)/(2*175*S)
N = 514.29/S
Now, we need to find the stroke/min of the shaping tool. Let the idle stroke velocity be V1 and cutting stroke velocity be V2. Then,
Cutting stroke to idle stroke velocity ratio = V2/V1 = 0.84
V2 = 0.84*V1
We know that the total time for one stroke is given by
T = (2*S)/(V1+V2)
The time for cutting stroke and idle stroke are given by
T2 = (S/V2) and T1 = (S/V1)
Therefore, the number of strokes per minute is given by
N = 60/(T1+T2) = 60*V1*S/(V1^2-V2^2)
Substituting V2 = 0.84*V1, we get
N = 60*V1*S/(V1^2-0.7056*V1^2)
N = 60*V1*S/(0.2944*V1^2)
N = 203.252/S
Equating the above two expressions for N, we get
514.29/S = 203.252/S
S = 2.53 mm
Therefore, the stroke/min of the shaping tool is
N = 514.29/2.53
N = 203.14 strokes/min
Therefore, the stroke/min of the shaping tool is 203.14.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min?
Question Description
A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min?.
A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min?.
Solutions for A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? defined & explained in the simplest way possible. Besides giving the explanation of
A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min?, a detailed solution for A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? has been provided alongside types of A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? theory, EduRev gives you an
ample number of questions to practice A 175 mm log workpiece is to be machined on a shaper which has a cutting stroke to idle stroke velocity ratio of 0.84 calculate the stroke/min of the shaping tool if the cutting speed is 30 m min? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup