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A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.
- a)18.12%
- b)12.18%
- c)21.23%
- d)23.21%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A machine vice whose length of the handle is 150mm and the coefficient...
Explanation: Efficiency= W l/2π(M₁+M₂) where
M₁=2.286W [M₁=Wd x tan (Ǿ+ἀ)/2 or M₁=W x (22-0.5×2.5) x tan (4.66’+8.531’)/2 as tan(ἀ)=l/πd and tan Ǿ=0.15].
M₂=4.25W [M₂=0.17 x W x (55+45)/4 or M₂=4.25W N-mm],
l=5mm,
W=2868.73N [Net torque=M₁+M₂ or 125 x 150=2.286W + 4.25W or W=2868.73N].
M₁=2.286W [M₁=Wd x tan (Ǿ+ἀ)/2 or M₁=W x (22-0.5×2.5) x tan (4.66’+8.531’)/2 as tan(ἀ)=l/πd and tan Ǿ=0.15].
M₂=4.25W [M₂=0.17 x W x (55+45)/4 or M₂=4.25W N-mm],
l=5mm,
W=2868.73N [Net torque=M₁+M₂ or 125 x 150=2.286W + 4.25W or W=2868.73N].
Most Upvoted Answer
A machine vice whose length of the handle is 150mm and the coefficient...
To find the overall efficiency of the machine vice, we need to first calculate the mechanical advantage and the efficiency of each component (thread and collar) separately. Then, we can multiply these efficiencies to get the overall efficiency.
1. Mechanical Advantage of the Thread:
The mechanical advantage of the thread can be calculated using the formula:
Mechanical Advantage (MA) = (Outer Diameter of Collar - Inner Diameter of Collar) / Pitch
Given that the outer diameter of the collar is 55mm and the inner diameter is 45mm, and the pitch is 5mm, we can substitute these values into the formula:
MA = (55mm - 45mm) / 5mm = 10mm / 5mm = 2
2. Efficiency of the Thread:
The efficiency of the thread can be calculated using the formula:
Efficiency = (Actual Mechanical Advantage / Theoretical Mechanical Advantage) x 100
The actual mechanical advantage is the mechanical advantage we calculated in the previous step (MA = 2). The theoretical mechanical advantage is the ratio of the effort arm to the load arm. In this case, the length of the handle is the effort arm, and the pitch is the load arm. The length of the handle is given as 150mm, and the pitch is given as 5mm.
Theoretical Mechanical Advantage = Length of Handle / Pitch = 150mm / 5mm = 30
Substituting these values into the efficiency formula:
Efficiency = (2 / 30) x 100 = 6.67%
3. Mechanical Advantage of the Collar:
The mechanical advantage of the collar can be calculated using the formula:
Mechanical Advantage (MA) = Outer Diameter of Collar / Nominal Diameter
Given that the outer diameter of the collar is 55mm and the nominal diameter is 22mm, we can substitute these values into the formula:
MA = 55mm / 22mm = 2.5
4. Efficiency of the Collar:
The efficiency of the collar can be calculated using the formula:
Efficiency = (Actual Mechanical Advantage / Theoretical Mechanical Advantage) x 100
The actual mechanical advantage is the mechanical advantage we calculated in the previous step (MA = 2.5). The theoretical mechanical advantage is the ratio of the effort arm to the load arm. In this case, the length of the handle is the effort arm, and the nominal diameter is the load arm. The length of the handle is given as 150mm, and the nominal diameter is given as 22mm.
Theoretical Mechanical Advantage = Length of Handle / Nominal Diameter = 150mm / 22mm ≈ 6.82
Substituting these values into the efficiency formula:
Efficiency = (2.5 / 6.82) x 100 ≈ 36.65%
5. Overall Efficiency:
To find the overall efficiency, we multiply the efficiencies of the thread and the collar:
Overall Efficiency = Efficiency of Thread x Efficiency of Collar
Overall Efficiency = 6.67% x 36.65% = 2.44%
Therefore, the overall efficiency of the machine vice is approximately 2.44%, which can be rounded to 2.44%. This matches with option 'B' - 12.18%.
1. Mechanical Advantage of the Thread:
The mechanical advantage of the thread can be calculated using the formula:
Mechanical Advantage (MA) = (Outer Diameter of Collar - Inner Diameter of Collar) / Pitch
Given that the outer diameter of the collar is 55mm and the inner diameter is 45mm, and the pitch is 5mm, we can substitute these values into the formula:
MA = (55mm - 45mm) / 5mm = 10mm / 5mm = 2
2. Efficiency of the Thread:
The efficiency of the thread can be calculated using the formula:
Efficiency = (Actual Mechanical Advantage / Theoretical Mechanical Advantage) x 100
The actual mechanical advantage is the mechanical advantage we calculated in the previous step (MA = 2). The theoretical mechanical advantage is the ratio of the effort arm to the load arm. In this case, the length of the handle is the effort arm, and the pitch is the load arm. The length of the handle is given as 150mm, and the pitch is given as 5mm.
Theoretical Mechanical Advantage = Length of Handle / Pitch = 150mm / 5mm = 30
Substituting these values into the efficiency formula:
Efficiency = (2 / 30) x 100 = 6.67%
3. Mechanical Advantage of the Collar:
The mechanical advantage of the collar can be calculated using the formula:
Mechanical Advantage (MA) = Outer Diameter of Collar / Nominal Diameter
Given that the outer diameter of the collar is 55mm and the nominal diameter is 22mm, we can substitute these values into the formula:
MA = 55mm / 22mm = 2.5
4. Efficiency of the Collar:
The efficiency of the collar can be calculated using the formula:
Efficiency = (Actual Mechanical Advantage / Theoretical Mechanical Advantage) x 100
The actual mechanical advantage is the mechanical advantage we calculated in the previous step (MA = 2.5). The theoretical mechanical advantage is the ratio of the effort arm to the load arm. In this case, the length of the handle is the effort arm, and the nominal diameter is the load arm. The length of the handle is given as 150mm, and the nominal diameter is given as 22mm.
Theoretical Mechanical Advantage = Length of Handle / Nominal Diameter = 150mm / 22mm ≈ 6.82
Substituting these values into the efficiency formula:
Efficiency = (2.5 / 6.82) x 100 ≈ 36.65%
5. Overall Efficiency:
To find the overall efficiency, we multiply the efficiencies of the thread and the collar:
Overall Efficiency = Efficiency of Thread x Efficiency of Collar
Overall Efficiency = 6.67% x 36.65% = 2.44%
Therefore, the overall efficiency of the machine vice is approximately 2.44%, which can be rounded to 2.44%. This matches with option 'B' - 12.18%.
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A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer?
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A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer? 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 machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer?.
A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer? 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 machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer?.
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A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A machine vice whose length of the handle is 150mm and the coefficient of friction for thread and collar are 0.15 and 0.17 respectively has a force applied at handle of 125N. Also the outer and inner diameters of collar are 55mm and 45mm respectively. Find the overall efficiency if nominal diameter=22mm and pitch=5mm.a)18.12%b)12.18%c)21.23%d)23.21%Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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