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Table 33. Equivalents of Metric and British Imperial Weights and Measures

Table 33. Equivalents of Metric and British Imperial Weights and Measures

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65

T A B L E 33.-EQUIVALENTS

O F M E T R I C AND BRITISH I M P E R I A L W E I G H T S

AND MEASURES (continued)



(For U. S. Weights and Measures, see Table 32.)

P art 2.-Metric



t o imperial, multiples

Measure of capacity



Linear measure

~



Millimeters

to

inches



Meters

to

feet



Meters

to

yards



Liters

to

pints



Kilometers

tomiles



1

2

3

4

5



0.03937011 3.28084 1.09361

0.07874023 6.56169 2.18723

0.11811034 9.84253 3.28084

0.15748045 13.12337 4.37446

0.19685056 16.40421 5.46807



0.62137

1.24274

1.86412

2.48549

3.10686



1

2

3

4

5



6

7

8

9



0.23622068

0.27559079

0.31496090

0.35433102



3.72823

4.34960

4.97097

5.59235



6

7

8

9



19.68506

22.96590

26.24674

29.52758



6.56169

7.65530

8.74891

9.84253



Dekaliters to

gallons



Hectoliters to

bushels



Kiloliters to

quarters



1.75980 2.19975 2.74%9 3.43712

3.51961 4.39951 5.49938 6.87423

5.27941 6.59926 8.24908 10.31135

7.03921 8.79902 10.99877 13.74846

8.79902 10.99877 13.74846 17.18558

10.55882

12.31862

14.07842

15.83823



13.19852

15.39828

17.59803

19.79778



16.49815

19.24785

21.99754

24.74723



20.62269

24.05981

27.49692

30.93404



Square measure

<



A



Weight (Avoirdupois)



Square

centimeters

to

square

inches



Square

meters

to

square

feet



Square

meters

to

square

yards



Hectares

to

acres



1

2

3

4

5



0.15500

0.31000

0.46500

0.62000

0.77500



10.76393

21.52786

32.29179

43.05572

53.81965



1.19599

2.39198

3.58798

4.78397

5.97996



2.4711

4.9421

7.4132

9.8842

12.3553



1

2

3

4

5



0.01543 15432.356 2.20462

0.03086 30864.713 4.40924

0.04630 46297.069 6.61387

0.06173 61729.426 8.81849

0.07716 77161.782 11.02311



6

7

8

9



0.9300

i.08500

1.24000

1.39501



64.58357 7.17595

75.34750 8.37194

86.11143 9.56794

96.87536 10.76393



14.8263

i7.2974

19.7685

22.2395



6

7

8

9



0.09259 92594.138 13.22773 11.81048

0.10803 108026.495 15.43236 13.77889

0.12346 123458.851 17.63698 15.74730

0.13889 138891.208 19.84160 17.71572



CCibic measure



' Cubic



decimeters to

cubic

inches



CCubic

ubimeters

c'



'



f?



grains



Apothecaries'

measure



meters to

cubic

feet



to

cubic

yards



Cubic

centimeters

to fluid

drachms



1.30795

2.61591

3.92386

5.23182

6.53977



Milligrams



Kilograms



'?



grains



Kilograms

to

pounds



Avoirdupois



(cont.)



Troy weight



1



Quintals

to

hundredweights



1.96841

3.93683

5.90524

7.87365

9.84206



Apothecaries'

weight



Milliers

or

tonnes to

tons



Grams

to

ounces

troy



Grams

to

pennyweights



Grams

to

scruples



1

2

3

4

5



61.02390

122.04781

183.07171

244.09561

305.11952



35.31476

70.62952

105.94428

141.25904

176.57379



0.28157

0.56314

0.84471

1.12627

1.40784



1

2

3

4

5



0.98421

1.%841

2.95262

3.93683

4.92103



0.03215

0.06430

0.09645

0.12860

0.16075



0.64301

1.28603

1.92904

2.57206

3.21507



0.77162

1.54324

2.31485

3.08647

3.85809



6

7

8

9



366.14342

427.16732

488.19123

549.21513



211.88855 7.84772 1.68941

247.20331 9.15568 1.97098

282.51807 10.46363 2.25255

317.83283 11.77159 2.53412



6

7

8

9



5.90524

6.88944

7.87365

8.85786



0.19290

0.22506

0.25721

0.28936



3.85809

4.50110

5.14412

5.78713



4.62971

5.40132

6.17294

6.94456



(continued)



SMITHSONIAN PHYSICAL TABLES



66

TABLE 33.-EQUIVALENTS

O F BRITISH IMPERIAL A N D METRIC WEIGHTS

AND MEASURES (continued)



(For U. S. Weights and Measures, see Table 32.)

Part 3.-lmperial

to metric

MEASURE OF CAP.\CITY



LINEAR MEASURE



1 inch

. .

1 foot ( i 2 in.)

1 YARD (3 ft)

1 pole (54 yd)



. . = 1.42 deciliters

. .= 0.568 liter

. . = 1.136 liters

. .= 4.5459631liters

. . . = 9.0921iters

. .= 3.637 dekaliters

. .= 2.909 hectoliters



. .z

. .=

. .=



1 gill

.

1 pint (4 g'illi) .

1 quart (2 pt) .

1 GALLON (4 qt)

1 peck (2 gal)

1 bushel (8 gal)

1 quarter (8 bu)



. .={



1 grain

.

1dram

.

1 ounce (16 dr)



25.400 millimeters

0.30480 meter

0.914399meter

= 5.0292 meters

(" yd Or = 20.1168 meters

100 links)

1 furlong (220 yd) = 201.168 meters

1 mile (1,760 yd) .= 1.6093 kilometers

1420210. X CdrX

lyard .

.

(Tutton 1932)



.



in.2

....



.



AVOIRDUPOIS WEIGHT



. .



S Q U a R E MEASURE

. . . . . - 6.4516

-. .- .- rm2

-.-.



. . .



fts

YD'



. .



. .= 1.772 grams

. = 28.350grams



p o ~ ~ & ( l ~=r ~0.45359243

f ~ ~ kg

1 stone (14 lb) . = 6.350 kg

1 quarter (28 Ib) = 12.70 kg

1 hundredweight

(112 lb)

= G:%%quintal

1.0160 tonnes or

1016 kilo.=

1 ton (20 cwt)

grams



ft2 (144 in.zj

. = 9.2903 dm2

0.836126 m2

YD2 (9 ft2)

.

perch (304 yd2) = 25.293 m2

rood (40 perches) = 10.117 ares

ACRE (4840 yd2) = 0.40468 hectare

mi2 (640 acres) = 259.00 hectares

in?



. . .= 64.8 milligrams

.



}



.



CUBIC M E ' S U R E



. .= 16.387cm'

(1728 in?) = (,,,,,l7

msor 28.317

(27 ft*). .= 0.76455m8



TROY WEIGHT



troy OUNCE (480

grains av)

1 pennyweight (24

grains)



APOTHECARIES' MEASURE



i



= 31.1035 grams

= 1,5552grams



NoTE.-The troy grain is of the same weight as

the avoirdupois grain.



1 fluid ounce, f 5

drachms)

1 fluid drachm, f 3 = 3.5515 c m ~

(60 minims)

lminim, 1 (0.91146 = 0.05919

grain weight)



APOTHECARIES' WEIGHT



.



1 ounce (8 drachms) . = 31.1035 grams

1 drachm, 3i (3 scruples) = 3.888 grams

1 scruple, 3i (20 grains) = 1.296 grams



1

1



NoTE.-The a othecaries' ounce is of the same

weight as t i e troy ounce. The apothecaries'

grain is also of the same weight as the avoirdupois grain.



NoTE.-The apothecaries' gallon is of the same

capacity as the Imperial gallon.

~



NoTE.-The YARDis the length at 62"F, marked on a bronze bar deposited with the

Board of Trade.

The POUND

is the weight of a piece of platinum weighed in vacuo at the temperature of

O"C, and which is also deposited with the Board of Trade.

The GALLONcontains 10 Ib weight of distilled water at the temperature of 62"F, the

barometer being at 30 inches.

(continued)



SMITHSONIAN PHYSICAL TABLES



67

T A B L E 33.-EQUIVALENTS

OF BRITISH I M P E R I A L A N D M E T R I C W E I G H T S

A N D MEASURES (concluded)



(For U. S. Weights and Measures, see Table 32.)

P a r t 4.-lmperial



t o metric, multiples



Linear measure

Feet

to

meters



Yards

to

meters



Miles

to

kilo.

meters



1

2

3

4

5



2.539998

5.079996

7.619993

10.159991

12.699989



0.30480

0.60960

0.91440

1.21920

1.52400



0.91440

1.82880

2.74320

3.65760

4.57200



1.60934

3.21869

4.82803

6.43737

8.04671



6

7

8



15.239987

17.779984

20.319982

22.859980



1.82880

2.13360

2.43840

2.74320



5.48640

6.40080

7.31519

8.22959



9.65606

11.26540

12.87474

14.48408



Square

inches

to square

centimeters



Square

feet t o

square

decimeters



9



Measure of capacity



-.



Inches

to

centimeters



Quarts

to

liters



1

2

3

4

5



1

2

3

4

5



32.25794



46.45144



6

7

8

9



38.70953

45.16112

51.61271

58.06430



55.74173

65.03201

74.32230

83.61259



27.27578

31.82174

36.36770

40,91367



6 6.81894

7 7.95544

8 9.09193

9 10.22842



1

2

3

4

5

6

7

8

9



Grajns

to milliarams



Acres to

hectares



Pounds

to kilograms



Ounces

to

grams



Hundredweights

to

quintals



4.18063 2.02342



0.50802

1.01605

1.52407

2.03209

2.54012



5.01676

5.85288

6.68901

7.52513



6

7

8

9



388.79351

453.59243

518.39135

583.19026



3.04814

3.55616

4.06419

4.57221



2.42811

2.83279

3.23748

3.64216

Apothecaries'

Measure



Avoirdupois

(cat.)



Cubic

yards

to cubic

meters



Fluid

drachms

tocubic

centimeters



81.93511 0.14158 3.82276

4.58732

5.35187

6.11642

6.88098



SMITHMNIAN PHYSICAL TABLES



170.09716

198.44669

226.79621

255.14574



2.72155

3.17515

3.62874

4.08233



Troy weight



Apothecaries'

weight



~



Tons to

milliers

or

tonnes



1 1.01605



98.32213 0.16990

0.i9822

131.0%17 0.22653

147.48319 0.25485



17.45650

20.36591

23.27533

26.18475



64.79892 28.34953 0.45359

129.59784 56.69905 0.90718

194.39675 85.04858 1.36078

259.19567 113.39811 1.81437

323.99459 141.74763 2.26796



Ounces

to

grams



17.75767



31.10348

62.20696

3 3.04814 93.31044

4 4.06419 124.41392

5 5.08024 155.51740



21.30920

24.86074

28.41227

31.96380



6

7

8

9



2 2.03209



ii4.709is



21.82062

25.45739

29.09416

32.73093



Weight (avoirdupois)



~



Cubic

feet

to cubic

meters



to



hecto.

liters



1

2

3

4

5



Cubic measure

kubic

inches

to pubic

centimeters



Quarters



1.13649 4.54596 3.63677 2.90942

2.27298 9.09193 7.27354 5.81883

3.40947 13.63789 10.91031 8.72825

4.545% 18.18385 14.54708 11.63767

5.68245 22.72982 18.18385 14.54708



Souare measure

Square

yards to

square

meters



Bushels

to

dekaliters



Gallons

to

liters



6.09628

7.11233

8.12838

9.14442



Pennyweights

to

grams



Scruples

to

grams



1.55517

3.11035

4.66552

6.22070

7.77587



1.29598

2.591%

3.88794

5.18391

6.47989



186.62088 9.33104 7.77587

217.72437 10.88622 9.07185

248.82785 12.44139 10.36783

279.93133 13.9%57 11.66381



68

TABLE 34.-VOLUME

O F A GLASS VESSEL FROM T H E WEIGHT O F ITS

EQUIVALENT VOLUME OF MERCURY OR WATER



If a glass vessel contains a t t"C, P grams of mercury, weighed with brass weights in air

a t 760 mmHg pressure, then its volume in cm'



P

at the same temperature, t : V = P R = P-J

d



P



+



at another temperature, f l : V = P R , = P d (1 Y (ti - f ) )

p = t h e weight, reduced to vacuum, of the mass of mercury or water which, weighed with

brass weights, equals 1 gram;

d = the density of mercury or water at t"C,

and y the cubical expansion coefficient of glass.

Ternpe ra

ture



-



Water



Mercury

L



t



R



= 10"



R1,tl = 20"



0"

1

2

3

4

5



1.001192

1133

1092

1068

1060

1068



1.001443

1358

1292

1243

1210

1193



1.001693

1609

1542

1493

1460

1443



0.0735499

5633

5766

5900

6033

6167



0.0735683

5798

5914

6029

6144

6259



0.0735867

5982

6098

6213

6328

6443



6

7

8

9

10



1.001092

1131

1184

1252

1333



1.001192

1206

1234

1277

1333



1.001442

1456

1485

1527

1584



0.0736301

6434

6568

6702

6835



0.0736374

6490

6605

6720

6835



0.0736558

6674

6789

6904

7020



11

12

13

14

15



1.001428

1536

1657

1790

1935



1.001403

1486

1582

1690

1810



1.001653

1736

1832

1940

2060



0.0736969

7103

7236

7370

7504



0.0736951

7066

7181

7297

7412



0.0737135

7250

7365

7481

7596



16

17

18

19

20



1.002092

2261

2441

2633

2835



1.001942

2086

2241

2407

2584



1.002193

2337

249 1

2658

2835



0.0737637

7771

7905

8039

8172



0.0737527

7642

7757

7872

7988



0.073771 1

7826

7941

8057

8172



21

22

23

24

25



1.003048

3271

3504

3748

4001



1.002772

2970

3178

33%

3624



1.003023

3220

3429

3647

3875



0.0738306

8440

8573

8707

8841



0.0738103

8218

8333

8449

8564



0.0738288

8403

8518

8633

8748



26

27

28

29

30



1.oO4264

4537

4818

5110

5410



1.003862

4110

4366

4632

4908



1.004113

4361

4616

4884

5159



0.0738974

9108

9242

9376

9510



0.0738679

8794

8910

9025

9140



0.0738864

8979

9094

9210

9325



R1,tl = 10' R,.t?- = 20'

_I



SMITHSONIAW PHYSICAL TABLES



R



R1,tl



O F AIR ON WEIGHING



T A B L E 35.-EFFECT



69



Reductions of weighings in a i r to vacuo



When the weight M in grams of a body is determined in air, a correction is necessary for

the buoyancy of the air equal to M6(l / d - I/&) where 6 = the density (wt. of 1 cms in

grams = 0.0012) of the air during the weighing, d the density of the body, d~ that of the

weights. 6 for various barometric values and humidities may be determined from Tables

631-632. The following table is computed for 6 = 0.0012. The corrected weight =



M



+ kM/1000.



Densitv

of hod;

weighed

d



.5

.6

.7

.75

.80

.85

.90

.95

1.00

1.1

1.2

1.3

1.4

1.5



Correction factor. k

,

Brass

'Pt. Ir.

Quartz or

weights

Al. weights

weights

d,= 21.5

8.4

2.65



+ 2.34

+ 1.94

+ 1.66

+ 1.55

+ 1.44

+ 1.28

1.36

+

+ 1.21

+ 1.14

+

1.04

+ 0.94

+ .87

+ .SO

+ .75



+ 2.26 + 1.95

+

1.86

+ 1.55

+ 1.57 + 1.26

+

1.46

+ 1.15

+ 1.36 + 1.05

+ 1.27 + 0.96

+

1.19

+ .88

+ 1.12 + .81

+ 1.06 + .75

+ 0.95 + .64

+

.86

+ .55

+ .78 + .47

+

.71

+ .40

+ .66 + .35



T A B L E 36.-REDUCTlONS



Correction factor, k



Density

of body

weighed

d



A.



Pt. Ir.

weights

d,= 21.5



+ 0.69

+ .65



1.6

1.7

1.8

1.9

2.0

2.5

3.0

4.0

6.0

8.0

10.0

15.0

20.0

22.0



+ .62

+ .58

+ .54

+ .43

+ .34

+ .24

+ .14

+ .09

+ .06

+ .03

+ .004

- .001



Brass

weights



Ouartz or



8.4



2.65



+ 0.61

+ .56

+ .52

+

.49

+ .46

+ .34

+ .26

+ .16

.06

+

.01

+

- .02



+ 0.30

+ .25

+ .21

+ .18

+ .15

+ .03



-



- .06

- .08



-



,



Ai.weights



.09



.05

.15

.25

.30

.33

.37

.39

.40



O F D E N S I T I E S I N A I R TO VACUO



(This correction may be accomplished through the use of the above table for each separate weighing.)

If s is the density of the substance as ca!culated from the uncorrected weights, S its true

density, and L the true density of the liquid used, then the vacuum correction to be applied

to the uncorrected density, s, is 0.0012 (1 - s/L).

Let W. = uncorrected weight of substance, W I= uncorrected weight of the liquid displaced by the substance, then by definition, s = LW./Wz. Assuming D to be the

density of the balance of weights, W.{1

0.0012(1/S - l/D)} and Wt{l

0.0012

(1/L - l/D)} are the true weights of the substance and liquid respectively (assuming

that the weighings are made under normal atmospheric corrections, so that the weight

of 1 cm' of air is 0.0012 gram).



+



+



+

+



W,{1 0.0012(1/s- 1/D)}

Wl{1 O.O012(1/L - 1/D)}

But from above WJWI = s/L, and since L is always large compared with 0.0012,

s- s = 0.0012( 1 - s / L )

The values of 0.0012(1 - s/L) for densities up to 20 and for liquids of density 1 (water),

0.852 (xylene), and 13.55 (mercury) follow :

Then the true density S =



Density

of substance

z



0.8

0.9

1.

2.

3.

4.



5.



6.

7.

8.

9.

10.



-,



Corrections



L=l

Water



+ 0.00024



+



.00012

0.0000

- .0012

- .0024

- .0036

- .0048

- .0060

- .0072

- .0084

- .0096

- .0108



L



= 0.852



Xylene



L = 13.55

Mercury



-



- 0.0002



- .0016

- .0030



-



.0044



- .0058

- .0073



-



.0087

.0101

.0115

- .0129



SMITHSONIAN PHYSICAL TABLES



+ 0.001 1

+

+ .0010

.om9

+

.0008

+

.oO08

+

+ .0007

.om



+

+

+



.om5



.OM4

.0003



Density

of suhStance

S



11.

12.

13.

14.

15.

16.

17.

18.

19.

20.



Corrections



L=13.5r;

L=l

Water



-0.0120

- .0132

- .0144

- .0156

- .0168

- ,0180

- .0192

- .0204

- .0216

- .0228



Mercury



+0.0002

.OOO1



+



O.oo00



0.0000

- .0001



- .0002

- .OW3

- .OW4

- .OW5

- .0006



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Table 33. Equivalents of Metric and British Imperial Weights and Measures

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