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Reference Guide

Permachart - Marketing Reference Guide: Cubic Yard, Nautical Mile, Fluid Ounce

4 Pages
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Fall 2015

Department
Physics
Course Code
PHYS 24300
Professor
All
Chapter
Permachart

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THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS LENGTH
AREA
VOLUME
LIQUID MEASURE
Weights & Measures
Weights & Measures
• Most of the United States system of
measurements is the same as that for the
United Kingdom
• The system was standardized in 1836,
with the main differences being liquid and
dry capacity measures
• These measures were originally defined by
physical standard measures, but are now
defined by reference to the SI
(The International System of Units),
the modern standard of the metric system
12 inches 1 foot
3 feet 1 yard
220 yards 1 furlong
3 land miles 1 league
6,076.11549 feet 1 international
nautical mile
1 mile 8 furlongs
1760 yards
5280 feet
1 square foot 144 square inches
1 square yard 9 square feet
1 acre 4840 square yards
1 square mile 640 acres
1 section 1 square mile
1 township 36 sections
1 cubic foot 1728 cubic inches
1 cubic yard 27 cubic feet
1 pint 16 fluid ounces
4 gills
2 pints 1 quart
1 gallon 4 quarts
CIRCULAR MEASURE
• A second (SI measurement) is defined
as the time duration of 9,192,631,770
periods of the radiation of the transition
between the two hyperfine levels of the
ground state of the Cesium-133 atom
MASS
MAT H E M AT I C A L N O TAT I O N S
LIQUID MEASURE
CONVERSION
1 ounce 437.5 grains
1 pound 16 ounces
14 pounds 1 stone
100 pounds 1 hundredweight (cwt)
20 cwt 1 ton
TROY WEIGHTS
• The troy system (named for Troyes,
France) is used only for precious metals
1 pennyweight 24 grains
1 ounce 20 pennyweights
12 ounces 1 pound
Second (‘’)
Minute (‘) 60 seconds
Degree (°) 60 minutes
30 degrees 1 sign
12 signs 360 degrees
Right angle 90 degrees
Straight angle 180 degrees
Circle 360 degrees
• Apothecaries’ weights are based on
troy weights; in addition to the pound,
ounce, and grain (which are equal to
the troy units of the same name), other
units are the dram and the scruple
1 scruple 20 grains
1 dram 3 scruples
1 ounce 8 drams
12 ounces 1 pound
1 fluid dram 60 minims
1 fluid ounce 8 fluid drams
1 pint 16 fluid ounces
APOTHECARIES WEIGHTS & MEASURES
• 1018 = 1,000,000,000,000,000,000
(one quintillion)
• 1015 = 1,000,000,000,000,000
(one quadrillion)
• 1012 = 1,000,000,000,000 (one trillion)
• 109= 1,000,000,000 (one billion)
• 106= 1,000,000 (one million)
• 103= 1000 (one thousand)
• 102= 100 (one hundred)
• 101 = 10 (ten)
• 100= 1 (one)
• 10-1 = 0.1 (one-tenth)
• 10-2 = 0.01 (one-hundredth)
• 10-3 = 0.001 (one-thousandth)
• 10-6 = 0.000 001 (one-millionth)
• 10-9 = 0.000 000 001 (one-billionth)
• 10-12 = 0.000 000 000 001
(one-trillionth)
• 10-15 = 0.000 000 000 000 001
(one-quadrillionth)
• 10-18 = 0.000 000 000 000 000 001
(one-quintillionth)
NUMERICAL PREFIXES
1/10 Deci
1/2 Semi, hemi, demi
1Uni
2Bi, di
3Tri, ter
4Tetra, tetr, quadri
5Penta, quint
6Sex, hex, hexa
7Hept, sept, septo
8Oct, octo
9Non, ennea
10 Dec, deca, deka
11 Hendeca, undeca
12 Dodeca
13 Quindeca
Imperial Metric (ml) U.S. units
1/6 fl oz 4.8 4.9 1 tsp
1/2 fl oz 14.2 14.8 1 tbsp
1 fl oz 28.4 29.6 1/8 cup
2 fl oz 56.8 59.2 1/4 cup
3 fl oz 85.2 88.7 3/8 cup
4 fl oz 113.7 118.3 1/2 cup
5 fl oz 142.1 158.5 2/3 cup
6 fl oz 170.5 177.4 3/4 cup
8 fl oz 227.3 236.6 1 cup
(1/2 pint)
10 fl oz 284.1 295.7 1 1/4cups
(1/2 pint)
12 fl oz 341.0 354.9 1 1/2cups
16 fl oz 454.6 473.2 2 cups
(1 pint)
20 fl oz 568.3 591.5 2 1/2cups
(1/2 pint)
1 1/2pints 852.4 887.2 3 3/4cups
1 3/4pints 937.6 946.4 4 cups
(33 fl oz) (1 quart)
2 pints 1137 1183 1 1/4quarts
2 1/3pints 1326 1420 3 pints
3 1/4pints 1847 1893 2 quarts
l e a r n r e f e r e n c e r e v i e w
TM
permacharts
WEIGHTS & MEASURES • A-716-11© 2002-2011 Mindsource Technologies Inc.
www.permacharts.com

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Description
l e a r n • r e f e r e n c e • r e v i e w permacharts TM Weights & Measures THE U.S./IMPERIAL SYSTEM OF MEASUREMENTS L ENGTH • Most of the United States system of • These measures were originally defined by 12 inches 1 foot measurements is the same as that for the physical standard measures, but are now 3 feet 1 yard United Kingdom defined by reference to the SI • The system was standardized in 1836, (The International System of Units), 220 yards 1 furlong with the main differences being liquid and the modern standard of the metric system 3 land miles 1 league dry capacity measures 6,076.11549 feet 1 international nautical mile 1 mile 8 furlongs 1760 yards MASS LIQUID MEASURE 5280 feet 1 ounce 437.5 grains CONVERSION 1 pound 16 ounces Imperial Metric (ml) U.S. units 14 pounds 1 stone 1/6 fl oz 4.8 4.9 1 tsp AREA 100 pounds 1 hundredweight (cwt) 1/2 fl oz 14.2 14.8 1 tbsp 1 square foot 144 square inches 20 cwt 1 ton 1 fl oz 28.4 29.6 1/8 cup 1 square yard 9 square feet 2 fl oz 56.8 59.2 1/4 cup 1 acre 4840 square yards TROY WEIGHTS 3 fl oz 85.2 88.7 3/8 cup • The troy system (named for Troyes, 1 square mile 640 acres 4 fl oz 113.7 118.3 1/2 cup 1 section 1 square mile France) is used only for precious metals 5 fl oz 142.1 158.5 2/3 cup 1 pennyweight 24 grains 1 township 36 sections 6 fl oz 170.5 177.4 3/4 cup 1 ounce 20 pennyweights 8 fl oz 227.3 236.6 1 cup 12 ounces 1 pound (1/2 pint) VOLUME 10 fl oz 284.1 295.7 1 / cu4s APOTHECARIES’ WEIGHTS & MEASURES (1/2 pint) 1 cubic foot 1728 cubic inches 1 • Apothecaries’ weights are based on 12 fl oz 341.0 354.9 1 / cu2s 1 cubic yard 27 cubic feet troy weights; in addition to the pound, 16 fl oz 454.6 473.2 2 cups ounce, and grain (which are equal to (1 pint) the troy units of the same name), other 1 units are the dram and the scruple 20 fl oz 568.3 591.5 2 / cu2s (1/2 pint) LIQUID MEASURE 1 scruple 20 grains 1 / pints 852.4 887.2 3 / cups 2 4 1 pint 16 fluid ounces 1 dram 3 scruples 1 / 4ints 937.6 946.4 4 cups 4 gills 1 ounce 8 drams (33 fl oz) (1 quart) 2 pints 1 quart 1 12 ounces 1 pound 2 pints 1137 1183 1 / 4uarts 1 gallon 4 quarts 1 fluid dram 60 minims 2 / pints 1326 1420 3 pints 3 1 fluid ounce 8 fluid drams 3 / 4ints 1847 1893 2 quarts 1 pint 16 fluid ounces CIRCULAR MEASURE • A second (SI measurement) is defined as the time duration of 9,192,631,770 MATHEMATICAL NOTATIONS periods of the radiation of the transition 18 -1 between the two hyperfine levels of the • 10 = 1,000,000,000,000,000,000 • 10 = 0.1 (one-tenth) ground state of the Cesium-133 atom (one quintillion) • 10 -2= 0.01 (one-hundredth) • 1015 = 1,000,000,000,000,000 -3 Second (‘’) — (one quadrillion) • 10 = 0.001 (one-thousandth) Minute (‘) 60 seconds 12 • 10 -6= 0.000 001 (one-millionth) • 10 = 1,000,000,000,000 (one trillion) • 10 -9= 0.000 000 001 (one-billionth) Degree (°) 60 minutes • 10 = 1,000,000,000 (one billion) -12 30 degrees 1 sign 6 • 10 = 0.000 000 000 001 • 10 = 1,000,000 (one million) (one-trillionth) 12 signs 360 degrees • 10 = 1000 (one thousand) • 10 -15= 0.000 000 000 000 001 Right angle 90 degrees • 102 = 100 (one hundred) (one-quadrillionth) 1 -18 Straight angle 180 degrees • 10 = 10 (ten) • 10 = 0.000 000 000 000 000 001 Circle 360 degrees • 10 = 1 (one) (one-quintillionth) NUMERICAL PREFIXES 1/10 Deci 2 Bi, di 5 Penta, quint 8 Oct, octo 11 Hendeca, undeca 1/2 Semi, hemi, demi 3 Tri, ter 6 Sex, hex, hexa 9 Non, ennea 12 Dodeca 1 Uni 4 Tetra, tetr, quadri 7 Hept, sept, septo 10 Dec, deca, deka 13 Quindeca 1 WEIGHTS & MEASURES • A-716-1 w ww.permacharts.com © 2002-2011 Mindsource Technologies Inc. l e a r n • r e f e r e n c e • r e v i e w permachartsM CONVERSION FACTORS Change To Multiply by Change To Multiply by Change To Multiply by acres hectares 0.4047 hectoliters bushels (U.S.) 2.8378 millimeters inches 0.0394 acres square feet 43,560 horsepower watts 745.7 ounces (avdp) grams 28.3495 acres square miles 0.001562 horsepower BTU/hour 0.001341 ounces pounds 0.0625 atmospheres cms. of 76 hours days 0.04167 ounces (troy) ounces (avdp) 1.09714 mercury inches millimeters 25.4000 pecks liters 8.8096 BTU/hour horsepower 0.0003930 inches centimeters 2.5400 pints (dry) liters 0.5506 BTU kilowatt-hour 0.0002931 kilograms pounds 2.2046 pints (liquid) liters 0.4732 BTU/hour watts 0.2931 (avdp or troy) pounds kilograms 0.3782 bushels cubic inches 2150.4 kilometers miles 0.6214 (ap or troy) bushels (U.S.) hectoliters 0.3524 kilowatt-hour BTU 3412 pounds kilograms 0.4536 centimeters inches 0.3937 knots nautical 1.0 (avdp) miles/hour pounds ounces 16 centimeters feet 0.03281 cubic feet cubic meters 0.0283 knots statute 1.151 quarts (dry) liters 1.1012 miles/hour quarts (liquid) liters 0.9463 cubic meters cubic feet 35.3145 liters gallons (U.S.) 0.2642 cubic meters cubic yards 1.3079 radians degrees 57.30 liters pecks 0.1135 rods meters 5.029 cubic yards cubic meters 0.7646 liters pints (dry) 1.8162 degrees radians 0.01745 rods feet 16.5 liters pints (liquid) 2.1134 square feet square meters 0.0929 dynes grams 0.00102 liters quarts (dry) 0.9081 fathoms feet 6.0 square square miles 0.3861 liters quarts (liquid)1.0567 kilometers feet meters 0.3048 meters feet 3.2808 square meters square feet 10.7639 feet miles (nautical) 0.0001645 meters miles 0.0006214 square meters square yards 1.1960 feet miles (statute)0.0001894 meters yards 1.0936 square square 2.5900 feet/second miles/hour 0.6818 metric tons tons (long) 0.9842 miles kilometers furlongs feet 660.0 metric tons tons (short) 1.1023 square yards square meters 0.8361 furlongs miles 0.125 miles kilometers 1.6093 tons (long) metric tons 1.016 gallons (U.S.) liters 3.7853 miles feet 5280 tons (short) metric tons 0.9072 grains grams 0.0648 miles miles 1.1516 tons (long) pounds 2240 grams grains 15.4324 (nautical) (statute) tons (short) pounds 2000 grams ounces (avdp) 0.0353 miles miles 0.8684 watts BTU/hour 3.4121 grams pounds 0.002205 (statute) (nautical) watts horsepower 0.001341 hectares acres 2.4710 miles/hour feet/minute 88 yards meters 0.9144 ELECTRIC CURRENT STANDARD BODY TEMPERATURE • Current is 110 volts, 60 cycles ENERGY BODY TEMPERATURE CONVERSION alternating current (A.C.) • Small appliances running on 220-240 1000 British Thermal 0.293 kWh units (BTU) ˚F ˚C ˚F ˚C volts will not work in the U.S. or Canada 100,000 BTU 1 therm 98.6 37.0 102.0 38.9 • Conversion kits can be purchased at 1 horsepower 0.7457 kilowatts 100.0 37.8 102.2 39.0 appliance or hardware stores 1 calorie (dietician’s4.1855 kilojoules 100.4 38.0 104.0 40.0 101.0 38.3 ULTRA VIOLET INDEX DRY MEASURE RANGE OF NORMAL BODY TEMPERATURE CONVERSION • The UV Index helps people to gauge sunlight Ear 35.8˚ - 38˚C (96.4˚ - 100.4˚F) exposure during outdoor activities and avoid Rectal 36.6˚ - 38˚C (97.9˚ - 100.4˚F) overexposure to the damaging rays of the sun oz tbsp tsp g 8 16 48 -- Oral 35.5˚C - 37.5˚C (93.9˚ - 99.5˚F) • Developed by the National Weather Service Armpit 34.7˚C - 37.3˚C (94.5˚ - 99.1˚F) and the Environmental Protection Agency 6 12 36 -- • The index is issued daily and predicts the next 5 / 10 /2 32 -- day’s amount of exposure to UV rays 3 3 4 8 24 113.4 Index Number Exposure Level 2 / 5 / 16 75.6 DRY MEASURE 3 3 0–2 Minimal 2 4 12 56.7 2 pints 1 quart (67.2006 cu in.) 3–4 Low 1 2 6 28.3 8 quarts 1 peck (pk) 5–6 Moderate 1/2 1 3 14.3 (537.605 cu in.) = 16 pints 7–9 High 1/6 1/3 1 5 4 pecks 1 bushel (bu) (2150.42 cu in.) = 32 quarts 10+ Very high 2 WEIGHTS & MEASURES • A-716-1 w w w . permacharts.com © 2002-2011 Mindsource Technologies Inc. l e a r n • r e f e r e n c e • r e v i e w permachartsM SAFFIR-SIMPSON HURRICANE SCALE Category Wind Speed Barometric Pressure Storm Surge Damage Potential 1 (Weak) 75 - 95 mph (65 - 82 kts) 28.94” or more • 980.02 mb or more 4.0’ - 5.0’ Minimal damage to vegetation 2 (Moderate) 96 - 110 mph (83 - 95 kts) 28.50” - 28.93” • 965.12 mb - 979.68 mb 6.0’ - 8.0’ Moderate damage to houses 3 (Strong) 111 - 130 mph (96 - 113 kts) 27.91” - 28.49” • 945.14 mb - 964.78 mb 9.0’ - 12.0’ Extensive damage to small buildings 4 (Very strong) 131 - 155 mph (114 - 135 kts) 27.17” - 27.90” • 920.08 mb - 944.80 mb 13.0’ - 18.0’ Extreme structural damage 5 (Devastating) Greater than 155 mph Less than 27.17” • Less than 920.08 mb Greater than Catastrophic building failures (greater than 135 kts) 18.0’ possible WIND CHILL BEAUFORT WIND SCALE • The new wind chill temperature ˚F is calculated as Force Wind WMO Appearance of Wind Effects follows (V = wind speed and T = temp): Knots Classification On the Water On Land Wind chill temperature = 35.74 + 0.6215T – 35.75V 0.16+ 0.4275TV 016
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