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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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.
- a)4.5W
- b)5.4W
- c)4.25W
- d)3.37W
Correct answer is option 'C'. Can you explain this answer?
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A machine vice whose length of the handle is 150mm and the coefficient...
Explanation: M₂=0.17 x W x (55+45)/4 or M₂=4.25W N-mm.
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A machine vice whose length of the handle is 150mm and the coefficient...
Problem Statement:
A machine vice has a handle length of 150mm, a coefficient of friction between thread and collar of 0.15 and 0.17 respectively, and a force of 125N applied at the handle. The collar has outer and inner diameters of 55mm and 45mm respectively, with a nominal diameter of 22mm and a pitch of 5mm. Find the collar torque in terms of clamping force W assuming uniform wear theory.
Solution:
Given,
Length of handle, L = 150mm
Coefficient of friction between thread and collar, μt = 0.15
Coefficient of friction between collar and vice body, μc = 0.17
Force applied at handle, F = 125N
Outer diameter of collar, D2 = 55mm
Inner diameter of collar, D1 = 45mm
Nominal diameter, d = 22mm
Pitch, p = 5mm
We know that the torque required to clamp the workpiece is given by:
T = W × R
where W is the clamping force and R is the effective radius.
Effective radius of collar, r = (D1 + D2)/4 = 0.025m
Clamping force, W = F × μc × μt
W = 125 × 0.17 × 0.15 = 3.1875N
Using uniform wear theory, the effective diameter of the collar is given by:
De = d - 0.5k
where k is the wear allowance.
Assuming a wear allowance of 0.05mm, k = 0.05mm = 0.00005m
De = 22 - 0.5 × 0.00005 = 21.999975mm = 0.021999975m
The pitch circumference of the collar is given by:
Cp = πdp
Cp = π × 0.022m × 5 = 0.03491m
The torque required to clamp the workpiece is given by:
T = W × Cp/2πDe
T = 3.1875 × 0.03491/2π × 0.021999975
T ≈ 4.25W
Therefore, the collar torque in terms of clamping force W assuming uniform wear theory is 4.25W.
A machine vice has a handle length of 150mm, a coefficient of friction between thread and collar of 0.15 and 0.17 respectively, and a force of 125N applied at the handle. The collar has outer and inner diameters of 55mm and 45mm respectively, with a nominal diameter of 22mm and a pitch of 5mm. Find the collar torque in terms of clamping force W assuming uniform wear theory.
Solution:
Given,
Length of handle, L = 150mm
Coefficient of friction between thread and collar, μt = 0.15
Coefficient of friction between collar and vice body, μc = 0.17
Force applied at handle, F = 125N
Outer diameter of collar, D2 = 55mm
Inner diameter of collar, D1 = 45mm
Nominal diameter, d = 22mm
Pitch, p = 5mm
We know that the torque required to clamp the workpiece is given by:
T = W × R
where W is the clamping force and R is the effective radius.
Effective radius of collar, r = (D1 + D2)/4 = 0.025m
Clamping force, W = F × μc × μt
W = 125 × 0.17 × 0.15 = 3.1875N
Using uniform wear theory, the effective diameter of the collar is given by:
De = d - 0.5k
where k is the wear allowance.
Assuming a wear allowance of 0.05mm, k = 0.05mm = 0.00005m
De = 22 - 0.5 × 0.00005 = 21.999975mm = 0.021999975m
The pitch circumference of the collar is given by:
Cp = πdp
Cp = π × 0.022m × 5 = 0.03491m
The torque required to clamp the workpiece is given by:
T = W × Cp/2πDe
T = 3.1875 × 0.03491/2π × 0.021999975
T ≈ 4.25W
Therefore, the collar torque in terms of clamping force W assuming uniform wear theory is 4.25W.
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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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. Can you explain this answer?
Question Description
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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. 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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. 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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. 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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. 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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. 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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. Can you explain this answer?.
Solutions 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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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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 collar torque in terms of clamping force W assuming uniform wear theory if nominal diameter=22mm and pitch=5mm.a)4.5Wb)5.4Wc)4.25Wd)3.37WCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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