Temperature and Speed Conversions - Homeschool Giveaways

Temperature and Speed Conversions Many people are familiar with the U.S. Customary units of measure, either because they are using them now or have used them in the past. However, the metric system, while commonly used in many parts of the world, is not always as familiar to people in the United States. The metric system began as a result of the French National Assembly asking the French Academy of Sciences to try to standardize the system of weights and measures that had become so confused in France. In 1791, work on the new system was begun, and by 1795, all metric units had been set and identified in France. By 1799, the new units were declared the legal standards for every measurement used in France. In 1875, an international conference met in Paris to set up an International Bureau of Weights and Measures. Meetings are held to reconsider the way the units have been determined, and the system has been refined over the years. Today, the metric system, based on units of 10, has been officially adopted by most of the countries in the world. Below are two tables. The first shows the equivalency of 1° Fahrenheit to Celsius and Kelvin temperatures; the equivalency of 1° Celsius to Fahrenheit and Kelvin temperatures; and the equivalency of 1° Kelvin to Fahrenheit and Celsius temperatures. The second table shows the equivalency of miles per hour to kilometers per hour and kilometers per hour to miles per hour. For ease in use, we have rounded the measurements to two decimal places where possible.

1° Fahrenheit

Celsius

Kelvin

-17.22°

255.93°

1° Celsius 1° Kelvin

Fahrenheit

274.15°

33.80°

-272.15°

-457.87°

Temperature conversion can become confusing because of the negative numbers. Another way of converting temperatures is: (Fahrenheit temperature – 32) X 5/9 = Celsius temperature (Celsius temperature X 9/5) + 32 = Fahrenheit temperature (Fahrenheit temperature + 459.67) X 5/9 = Kelvin temperature (Kelvin temperature X 9/5) - 459.67 = Fahrenheit temperature Celsius temperature + 273.15 = Kelvin temperature Kelvin temperature - 273.15 = Celsius temperature Kilometer per hour 1 Mile per hour 1 Kilometer per hour

Mile per hour

1.61 .62

How do you convert between the two systems when the need arises? Use the standard methods of conversion shown in the tables or the temperature formulas above to solve the following practice problems. ©2016 Bonnie Rose Hudson WriteBonnieRose.com

Activity One: If we know that (Fahrenheit temperature –32) X 5/9 = Celsius temperature, convert the following, rounding your answers to two decimal places: 15° F = __________ C

4° F = __________ C

46° F = __________ C

89° F = __________ C

75° F = __________ C

103° F = __________ C

24° F = __________ C

37° F = __________ C

63° F = __________ C

58° F = __________ C

Activity Two: If we know that (Celsius temperature X 9/5) + 32 = Fahrenheit temperature, convert the following: 27° C = __________ F

16° C = __________ F

39° C = __________ F

42° C = __________ F

7° C = __________ F

61° C = __________ F

0° C = __________ F

53° C = __________ F

17° C= __________ F

22° C = __________ F

©2016 Bonnie Rose Hudson WriteBonnieRose.com

Activity Three: If we know that (Fahrenheit temperature + 459.67) X 5/9 = Kelvin temperature, convert the following, rounding your answers to two decimal places: 73° F = __________ K

2° F = __________ K

45° F = __________ K

55° F = __________ K

29° F = __________ K

109° F = __________ K

18° F = __________ K

5° F = __________ K

35° F = __________ K

12° F = __________ K

Activity Four: If we know that (Kelvin temperature X 9/5) - 459.67 = Fahrenheit temperature, convert the following: 107° K = __________ F

9° K = __________ F

65° K = __________ F

59° K = __________ F

25° K = __________ F

115° K = __________ F

32° K = __________ F

62° K = __________ F

51° K = __________ F

30° K = __________ F


Activity Five: Now, using the fact that Celsius temperature + 273.15 = Kelvin temperature, compute the following: 14° C = __________ K

3° C= __________ K

20° C= __________ K

21° C = __________ K

79° C = __________ K

48° C = __________ K

82° C = __________ K

70° C = __________ K

11° C = __________ K

67° C = __________ K

Activity Six: Using the fact that Kelvin temperature - 273.15 = Celsius temperature, compute the following: 110° K = __________ C

40° K = __________ C

76° K = __________ C

85° K = __________ C

66° K = __________ C

71° K = __________ C

31° K = __________ C

64° K = __________ C

81° K = __________ C

83° K = __________ C


Activity Seven: Knowing that 1 mile per hour (mph) equals 1.61 kilometers per hour (kph) and 1 kilometer per hour (kph) equals .62 miles per hour (mph), do the following problems, rounding your answers to whole mph (in other words, 34.937 kph would be 35 kph): 1. You are driving from the United States to Canada. At a particular point, the speed limit signs change from 55 miles per hour to 104.65 kilometers per hour. How many miles per hour can you now drive?

2. You return from Canada by a different route and are driving at 112.70 kilometers per hour. The speed limit sign you see as you cross the border and drive toward a small town in the United States says 45 miles per hour. How many miles per hour do you need to slow down?

3. Someone who is used to watching their speed in kilometers per hour is driving in the United States and is stopped for speeding. They are going 136.85 kilometers per hour in a 60 mile per hour zone. How many miles per hour were they driving over the speed limit?

4. I am driving in another country where the speed limit is 72 kilometers per hour. If I want to be especially cautious and keep my speed 5 miles per hour under the speed limit, how many kilometers per hour would I need to drive?

5.

How many kilometers per hour would you be driving if you were traveling 65 miles per hour?


Answer Key: Activity One: 15° F = -9.44° C

4° F = -15.56° C

46° F = 7.78° C

89° F = 31.67° C

75° F = 23.89° C

103° F = 39.44° C

24° F = -4.44° C

37° F = 2.78° C

63° F = 17.22° C

58° F = 14.44° C

Activity Two: 27° C = 80.6° F

16° C = 60.8° F

39° C = 102.2° F

42° C = 107.6° F

7° C = 44.6° F

61° C = 141.8° F

0° C = 32° F

53° C = 127.4° F

17° C= 62.6° F

22° C = 71.6° F

Activity Three: 73° F = 295.93° K

2° F = 256.48° K

45° F = 280.37° K

55° F = 285.93 K

29° F = 271.48° K

109° F = 315.93° K

18° F = 265.37° K

5° F = 258.15° K

35° F = 274.82° K

12° F = 262.04° K

Activity Four: 107° K = -267.07° F

9° K = -443.47° F

65° K = -342.67° F

59° K = -353.47° F

25° K = -414.67° F

115° K = -252.67° F

32° K = -402.07° F

62° K = -348.07° F

51° K = -367.87° F

30° K = -405.67° F


Activity Five: 14° C = 287.15° K

3° C= 276.15° K

20° C= 293.15° K

21° C = 294.15° K

79° C = 352.15° K

48° C = 321.15° K

82° C = 355.15° K

70° C = 343.15° K

11° C = 284.15° K

67° C = 340.15° K

Activity Six: 110° K = -163.15° C

40° K = -233.15° C

76° K = -197.15° C

85° K = -188.15°C

66° K = -207.15° C

71° K = -202.15° C

31° K = -242.15° C

64° K = -209.15° C

81° K = -192.15° C

83° K = -190.15° C

Activity Seven: 1.

65 mph

2.

25 mph

3.

25 mph (136.85 kph = 85 mph 85mph—60 mph = 25 mph over the speed limit)

4.

64 kph

5.

104.65 or 105 kph
