Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 29, Problem 10A
To determine

(a)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 2.818.

The minimum limit is 2.806.

Explanation of Solution

Given information:

The bilateral tolerance is 2.812±0.006.

Write the expression for the maximum limit.

  Lmax=Bd+0.006   ...........(I)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.006   ...........(II)

Calculation:

Substitute 2.812 for Bd in Equation (I).

  Lmax=2.812+0.006=2.818

Substitute 2.812 for Bd in Equation (II).

  Lmin=2.8120.006=2.806

Conclusion:

The maximum limit is 2.818.

The minimum limit is 2.806.

To determine

(b)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 3.007.

The minimum limit is 2.999.

Explanation of Solution

Given information:

The bilateral tolerance is 3.003±0.004.

Write the expression for the maximum limit.

  Lmax=Bd+0.004   ...........(III)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.004   ...........(IV)

Calculation:

Substitute 3.003 for Bd in Equation (III).

  Lmax=3.003+0.004=3.007

Substitute 3.003 for Bd in Equation (IV).

  Lmin=3.0030.004=2.999

Conclusion:

The maximum limit is 3.007.

The minimum limit is 2.999.

To determine

(c)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 3.981.

The minimum limit is 3.961.

Explanation of Solution

Given information:

The bilateral tolerance is 3.971±0.010.

Write the expression for the maximum limit.

  Lmax=Bd+0.010   ...........(V)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.010   ...........(VI)

Calculation:

Substitute 3.971 for Bd in Equation (V).

  Lmax=3.971+0.010=3.981

Substitute 3.971 for Bd in Equation (VI).

  Lmin=3.9710.010=3.961

Conclusion:

The maximum limit is 3.981.

The minimum limit is 3.961.

To determine

(d)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 4.0574.

The minimum limit is 4.0550.

Explanation of Solution

Given information:

The bilateral tolerance is 4.0562±0.0012.

Write the expression for the maximum limit.

  Lmax=Bd+0.0012   ...........(VII)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.0012   ...........(VIII)

Calculation:

Substitute 4.0562 for Bd in Equation (VII).

  Lmax=4.0562+0.0012=4.0574

Substitute 4.0562 for Bd in Equation (VIII).

  Lmin=4.05620.0012=4.0550

Conclusion:

The maximum limit is 4.0574.

The minimum limit is 4.0550.

To determine

(e)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 1.3808.

The minimum limit is 1.3790.

Explanation of Solution

Given information:

The bilateral tolerance is 1.3799±0.0009.

Write the expression for the maximum limit.

  Lmax=Bd+0.0009   ...........(IX)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.0009   ...........(X)

Calculation:

Substitute 1.3799 for Bd in Equation (IX).

  Lmax=1.3799+0.0009=1.3808

Substitute 1.3799 for Bd in Equation (X).

  Lmin=1.37990.0009=1.3790

Conclusion:

The maximum limit is 1.3808.

The minimum limit is 1.3790.

To determine

(f)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 2.0007.

The minimum limit is 1.9993.

Explanation of Solution

Given information:

The bilateral tolerance is 2.0000±0.0007.

Write the expression for the maximum limit.

  Lmax=Bd+0.0007   ...........(XI)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.0007   ...........(XII)

Calculation:

Substitute 2.0000 for Bd in Equation (XI).

  Lmax=2.0000+0.0007=2.0007

Substitute 2.0000 for Bd in Equation (XII).

  Lmin=2.00000.0007=1.9993

Conclusion:

The maximum limit is 2.0007.

The minimum limit is 1.9993.

To determine

(g)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 43.51mm.

The minimum limit is 43.41mm.

Explanation of Solution

Given information:

The bilateral tolerance is 43.46mm±0.05mm.

Write the expression for the maximum limit.

  Lmax=Bd+0.05mm   ...........(XIII)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.05mm   ...........(XIV)

Calculation:

Substitute 43.46mm for Bd in Equation (XIII).

  Lmax=43.46mm+0.05mm=43.51mm

Substitute 43.46mm for Bd in Equation (XIV).

  Lmin=43.46mm0.05mm=43.41mm

Conclusion:

The maximum limit is 43.51mm.

The minimum limit is 43.41mm.

To determine

(h)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 107.15mm.

The minimum limit is 106.99mm.

Explanation of Solution

Given information:

The bilateral tolerance is 107.07mm±0.08mm.

Write the expression for the maximum limit.

  Lmax=Bd+0.08mm   ...........(XV)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.08mm   ...........(XVI)

Calculation:

Substitute 107.07mm for Bd in Equation (XV).

  Lmax=107.07mm+0.08mm=107.15mm

Substitute 107.07mm for Bd in Equation (XVI).

  Lmin=107.07mm0.08mm=106.99mm

Conclusion:

The maximum limit is 107.15mm.

The minimum limit is 106.99mm.

To determine

(i)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 62.14mm.

The minimum limit is 61.94mm.

Explanation of Solution

Given information:

The bilateral tolerance is 62.04mm±0.10mm.

Write the expression for the maximum limit.

  Lmax=Bd+0.10mm   ...........(XVII)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.10mm   ...........(XVIII)

Calculation:

Substitute 62.04mm for Bd in Equation (XVII).

  Lmax=62.04mm+0.10mm=62.14mm

Substitute 62.04mm for Bd in Equation (XVIII).

  Lmin=62.04mm0.10mm=61.94mm

Conclusion:

The maximum limit is 62.14mm.

The minimum limit is 61.94mm.

To determine

(j)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 10.227mm.

The minimum limit is 10.179mm.

Explanation of Solution

Given information:

The bilateral tolerance is 10.203mm±0.024mm.

Write the expression for the maximum limit.

  Lmax=Bd+0.024mm   ...........(XIX)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.024mm   ...........(XX)

Calculation:

Substitute 10.203mm for Bd in Equation (XIX).

  Lmax=10.203mm+0.024mm=10.227mm

Substitute 10.203mm for Bd in Equation (XX).

  Lmin=10.203mm0.024mm=10.179mm

Conclusion:

The maximum limit is 10.227mm.

The minimum limit is 10.179mm.

To determine

(k)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 289.012mm.

The minimum limit is 288.998mm.

Explanation of Solution

Given information:

The bilateral tolerance is 289.005mm±0.007mm.

Write the expression for the maximum limit.

  Lmax=Bd+0.007mm   ...........(XXI)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.007mm   ...........(XXII)

Calculation:

Substitute 289.005mm for Bd in Equation (XXI).

  Lmax=289.005mm+0.007mm=289.012mm

Substitute 289.005mm for Bd in Equation (XXII).

  Lmin=289.005mm0.007mm=288.998mm

Conclusion:

The maximum limit is 289.012mm.

The minimum limit is 288.998mm.

To determine

(l)

The maximum limit.

The minimum limit.

Expert Solution
Check Mark

Answer to Problem 10A

The maximum limit is 66.776mm.

The minimum limit is 66.746mm.

Explanation of Solution

Given information:

The bilateral tolerance is 66.761mm±0.015mm.

Write the expression for the maximum limit.

  Lmax=Bd+0.015mm   ...........(XXIII)

Here, the basic dimension is Bd.

Write the expression for the minimum limit.

  Lmin=Bd0.015mm   ...........(XXIV)

Calculation:

Substitute 66.761mm for Bd in Equation (XXIII).

  Lmax=66.761mm+0.015mm=66.776mm

Substitute 66.761mm for Bd in Equation (XXIV).

  Lmin=66.761mm0.015mm=66.746mm

Conclusion:

The maximum limit is 66.776mm.

The minimum limit is 66.746mm.

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