Engineering Fundamentals: An Introduction to Engineering
Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357112311
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 3, Problem 15P
To determine

Create a Table that shows wrench size in metric and U.S. units.

Expert Solution & Answer
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Explanation of Solution

Calculation:

Consider the general U.S. standard wrench sizes in ‘in.’:

The sizes are listed below which are normally used in U.S.

1/4'',5/16'',7/16'',1/2'',9/16'',5/8'',3/4'',13/16'',15/16'',1-1/8'',1-5/16'',1-1/2''

,1-11/16'',1-7/8''

The calculation for wrench size in metric and U.S. units are shown below:

For the wrench size 1/4'':

Convert the wrench size from inch to mm,

1/4''=0.25in.=0.25in.×25.4mm1in.[1in.=25.4mm]=6.35mm

Convert the wrench size from inch to foot as,

1/4''=0.25in.=0.25in.×0.0833ft1in[1in=0.0833ft]=0.0208ft

For the wrench size 5/16'':

Convert the wrench size from inch to mm,

5/16''=0.3125in.=0.3125in.×25.4mm1in.=7.937mm

Convert the wrench size from inch to foot as,

5/16''=0.25in.=0.3125in.×0.0833ft1in=0.026ft

For the wrench size 7/16'':

Convert the wrench size from inch to mm,

7/16''=0.4375in.=0.4375in.×25.4mm1in.=11.11mm

Convert the wrench size from inch to foot as,

7/16''=0.4375in.=0.4375in.×0.0833ft1in=0.036ft

For the wrench size 1/2'':

Convert the wrench size from inch to mm,

1/2''=0.5in.=0.5in.×25.4mm1in.=12.7mm

Convert the wrench size from inch to foot as,

1/2''=0.5in.=0.5in.×0.0833ft1in=0.042ft

For the wrench size 9/16'':

Convert the wrench size from inch to mm,

9/16''=0.5625in.=0.5625in.×25.4mm1in.=14.28mm

Convert the wrench size from inch to foot as,

9/16''=0.5625in.=0.5625in.×0.0833ft1in=0.046ft

For the wrench size 5/8'':

Convert the wrench size from inch to mm,

5/8''=0.625in.=0.625in.×25.4mm1in.=15.87mm

Convert the wrench size from inch to foot as,

5/8''=0.625in.=0.625in.×0.0833ft1in=0.052ft

For the wrench size 3/4'':

Convert the wrench size from inch to mm,

3/4''=0.75in.=0.75in.×25.4mm1in.=19.05mm

Convert the wrench size from inch to foot as,

3/4''=0.75in.=0.75in.×0.0833ft1in=0.062ft

For the wrench size 13/16'':

Convert the wrench size from inch to mm

13/16''=0.8125in.=0.8125in.×25.4mm1in.=20.63mm

Convert the wrench size from inch to foot

13/16''=0.8125in.=0.8125in.×0.0833ft1in=0.067ft

For the wrench size 1516":

Convert the wrench size from inch to mm,

15/16''=0.9375in.=0.9375in.×25.4mm1in.=23.81mm

Convert the wrench size from inch to foot as,

15/16''=0.9375in.=0.9375in.×0.0833ft1in=0.078ft

For the wrench size 1-1/8'':

Convert the wrench size from inch to mm

1-1/8''=98"=1.125in.×25.4mm1in.=28.57mm

Convert the wrench size from inch to foot

1-1/8''=98"=1.125in.×0.0833ft1in=0.093ft

For the wrench size 1-5/16'':

Convert the wrench size from inch to mm

1-5/16''=2116"=1.3125in.×25.4mm1in.=33.33mm

Convert the wrench size from inch to foot

1-5/16''=2116"=1.3125in.×0.0833ft1in=0.109ft

For the wrench size 1-1/2'':

Convert the wrench size from inch to mm

1-1/2''=32"=1.5in.×25.4mm1in.=38.1mm

Convert the wrench size from inch to foot as,

1-1/2''=32"=1.5in.×0.0833ft1in=0.124ft

For the wrench size 1-11/16'':

Convert the wrench size from inch to mm,

1-11/16''=2716"=1.6875in.×25.4mm1in.=42.86mm

Convert the wrench size from inch to foot as,

1-11/16''=2716"=1.6875in.×0.0833ft1in=0.14ft

For wrench size 1-7/8'':

Convert the wrench size from inch to mm

1-7/8''=158"=1.875in.×25.4mm1in.=47.62mm

Convert the wrench size from inch to foot

1-7/8''=158"=1.875in.×0.0833ft1in=0.156ft

Tthe calculated wrench sizes in metric and U.S. units are tabulated in Table 1.

Table 1

U.S. standard wrench sizes (in.)Metric (mm)U.S. units (ft)
1/4"6.350.0208
5/16"7.9370.026
7/16"11.110.036
1/2"12.70.042
9/16"14.280.046
5/8"15.870.052
3/4"19.050.062
13/16"20.630.067
15/16"23.810.078
1-1/8"28.570.093
1-5/16"33.330.109
1-1/2"38.10.124
1-11/16"42.860.14
1-7/8"47.620.156

Conclusion:

Thus, the standard wrench sizes in metric and U.S. units are calculated and tabulated in Table 1.

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