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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 screw torque in terms of clamping force W if nominal diameter=22mm and pitch=5mm.
  • a)
    3.567W N-mm
  • b)
    2.286W N-mm
  • c)
    3.564W N-mm
  • d)
    None of the mentioned
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A machine vice whose length of the handle is 150mm and the coefficient...
Explanation: 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 tanǾ=0.15.
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Most Upvoted Answer
A machine vice whose length of the handle is 150mm and the coefficient...
Screw torque can be calculated using the formula:

Torque = Force * Radius * Coefficient of friction

To calculate the radius (r), we need to find the mean diameter (d) of the collar, which can be calculated as:

Mean diameter (d) = (outer diameter + inner diameter) / 2

Given that the outer diameter (D) is 55mm and the inner diameter (d) is 45mm, we can substitute these values into the formula to find the mean diameter:

d = (55 + 45) / 2 = 50mm = 0.05m

The radius (r) is half the mean diameter, so:

r = d / 2 = 0.05 / 2 = 0.025m

Now we can calculate the screw torque:

Torque = Force * Radius * Coefficient of friction

Given that the force (F) is 125N and the coefficient of friction (μ) is 0.17, we can substitute these values into the formula:

Torque = 125 * 0.025 * 0.17

Simplifying the equation:

Torque = 2.125 N-m

Therefore, the screw torque in terms of the clamping force W is 2.125W N-m. However, none of the given options match this answer, so there may be an error in the options provided.
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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 screw torque in terms of clamping force W if nominal diameter=22mm and pitch=5mm.a)3.567W N-mmb)2.286W N-mmc)3.564W N-mmd)None of the mentionedCorrect answer is option 'B'. Can you explain this answer?
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