EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 28, Problem 7A
To determine

(a)

The measurement of a.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of a is (3 32).

Explanation of Solution

Given information:

The below figure represent the Metric steel Rule.

EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 28, Problem 7A

Figure-(1)

Write the expression for the measurement by the enlarged fractional rule.

  M=F+T(1 32) ........ (I)

Here, the measurement by the enlarged fractional rule is M, the total measurement of scale nearest of the point is F and the fractional measurement of scale nearest of the point is T.

Here, the total measurement of scale nearest of a is 0 and the fractional measurement of scale nearest of a is 3 as shown in Figure-(1).

Calculation:

Substitute 3 for T and 0 for F in Equation (I).

  M=0+(3)( 1 32)=(3)( 1 32)=( 3 32)

Conclusion:

The measurement of a is (3 32).

To determine

(b)

The measurement of b.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of b is (5 16).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of b is 0 and the fractional measurement of scale nearest of b is 10 as shown in Figure-(1).

Calculation:

Substitute 0 for T and 10 for F in Equation (I).

  M=(0)+(10)( 1 32)=(10)( 1 32)=( 5 16)

Conclusion:

The measurement of b is (5 16).

To determine

(c)

The measurement of c.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of c is 0.5.

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of c is 0 and the fractional measurement of scale nearest of c is 16 as shown in Figure-(1).

Calculation:

Substitute 0 for T and 16 for F in Equation (I).

  M=(0)+(16)( 1 32)=(16)( 1 32)=( 1 2)=0.5

Conclusion:

The measurement of c is 0.5.

To determine

(d)

The measurement of d.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of d is (58).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of d is 0.5 and the fractional measurement of scale nearest of d is 4 as shown in Figure-(1).

Calculation:

Substitute 0.5 for T and 4 for F in Equation (I).

  M=0.5+(4)( 1 32)=( 1 2)+( 1 8)=( 5 8)

Conclusion:

The measurement of d is (58).

To determine

(e)

The measurement of e.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of e is (34).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of e is 0.5 and the fractional measurement of scale nearest of e is 8 as shown in Figure-(1).

Calculation:

Substitute 0.5 for T and 8 for F in Equation (I).

  M=(0.5)+(8)( 1 32)=( 1 2)+( 1 4)=( 3 4)

Conclusion:

The measurement of e is (34).

To determine

(f)

The measurement of f.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of f is ( 29 32).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of f is 0.5 and the fractional measurement of scale nearest of f is 13 as shown in Figure-(1).

Calculation:

Substitute 0.5 for T and 13 for F in Equation (I).

  M=(0.5)+(13)( 1 32)=( 1 2)+( 13 32)=( 29 32)

Conclusion:

The measurement of f is ( 29 32).

To determine

(g)

The measurement of g.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of g is ( 35 32).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of g is 1 and the fractional measurement of scale nearest of g is 3 as shown in Figure-(1).

Calculation:

Substitute 1 for T and 3 for F in Equation (I).

  M=(1)+(3)( 1 32)=(1)+( 3 32)=( 35 32)

Conclusion:

The measurement of g is ( 35 32).

To determine

(h)

The measurement of h.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of h is ( 21 16).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of h is 1 and the fractional measurement of scale nearest of h is 10 as shown in Figure-(1).

Calculation:

Substitute 1 for T and 10 for F in Equation (I).

  M=(1)+(10)( 1 32)=(1)+( 5 16)=( 21 16)

Conclusion:

The measurement of h is ( 21 16).

To determine

(i)

The measurement of i.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of i is (5 64).

Explanation of Solution

Given information:

Write the expression of measurement of the enlarged decimal rule.

  M=F(1 32)+T(1 64) ........ (II)

Here, the total measurement of scale nearest of i is 2 and the fractional measurement of scale nearest of i is 1 as shown in Figure-(1).

Calculation:

Substitute 2 for F and 1 for T in Equation (II).

  M=2( 1 32)+( 1 64)=( 1 6)+( 1 64)=( 5 64)

Conclusion:

The measurement of i is (5 64).

To determine

(j)

The measurement of j.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of j is (7 32).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of j is 6 and the fractional measurement of scale nearest of c is 2 as shown in Figure-(1).

Calculation:

Substitute 6 for F and 2 for T in Equation (II).

  M=(6)( 1 32)+(2)( 1 64)=( 3 16)+( 1 32)=( 7 32)

Conclusion:

The measurement of j is (7 32).

To determine

(k)

The measurement of k.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of k is (38).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of k is 0 and the fractional measurement of scale nearest of k is 12 as shown in Figure-(1).

Calculation:

Substitute 0 for T and 12 for F in Equation (I).

  M=(0)+(12)( 1 32)=( 3 8)

Conclusion:

The measurement of k is (38).

To determine

(l)

The measurement of l.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of l is ( 35 64).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of l is 5 and the fractional measurement of scale nearest of l is 1 as shown in Figure-(1).

Write the expression for the enlarged decimal rule.

  M=T1+F(1 32)+T(1 64) ...... (III)

Here, the total measurement is T1.

Calculation:

Substitute (38) for T1, 5 for F and 1 for T in Equation (II).

  M=( 3 8)+5( 1 32)+(1)( 1 64)=( 3 8)+( 5 32)+( 1 64)=( 35 64)

Conclusion:

The measurement of l is ( 35 64).

To determine

(m)

The measurement of m.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of m is ( 51 64).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of m is 24 and the fractional measurement of scale nearest of m is 3 as shown in Figure-(1).

Calculation:

Substitute 24 for F and 3 for T in Equation (I).

  M=(24)( 1 32)+(3)( 1 64)=( 51 64)

Conclusion:

The measurement of m is ( 51 64).

To determine

(n)

The measurement of n.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of n is ( 31 32).

Explanation of Solution

Given information:

Write the expression of measurement of the enlarged decimal rule.

  M=T1T(1 64) ........ (IV)

Here, the total measurement is T1.

Here, the fractional measurement of scale nearest of n is 2 and the total measurement is 1 as shown in Figure-(1).

Calculation:

Substitute 1 for T1 and 2 for T in Equation (IV).

  M=(1)2( 1 64)=(1)( 1 32)=( 31 32)

Conclusion:

The measurement of n is ( 31 32).

To determine

(o)

The measurement of o.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of o is (1 15 64).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of m is 7, the fractional measurement of scale nearest of m is 1 and the total measurement is 1 as shown in Figure-(1).

Calculation:

Substitute 1 for T1, 7 for F and 1 for T in Equation (III).

  M=(1)+(7)( 1 32)+(1)( 1 64)=(1)+( 7 32)+( 1 64)=(1 15 64)

Conclusion:

The measurement of o is (1 15 64).

To determine

(o)

The measurement of p.

Expert Solution
Check Mark

Answer to Problem 7A

The measurement of p is (1 29 64).

Explanation of Solution

Given information:

Here, the total measurement of scale nearest of m is 4, the fractional measurement of scale nearest of m is 1 and the total measurement is ( 21 16) as shown in Figure-(1).

Calculation:

Substitute ( 21 16) for T1, 4 for F and 1 for F in Equation (IV).

  M=( 21 16)+(4)( 1 32)+(1)( 1 64)=( 21 16)+( 1 8)+( 1 64)=( 29 64)

Conclusion:

The measurement of p is (1 29 64).

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