7) An astronomical unit (AU) is the average distance of the Earth from the Sun,

Question

7) An astronomical unit (AU) is the average distance of the Earth from the Sun, approximately 1.50 108 km. The speed of light is about 3.0 108 m/s. Express the speed of light in terms of astronomical units per minute.

8)The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 8.0 cubits and a diameter of 2.0 cubits. For the stated range, what are the lower value and the upper value, respectively, for the following?
(a) The cylinder's length in meters


lower value:





upper value:




(b) the cylinder's length in millimeters



lower value:



upper value:




(c) the cylinder's volume in cubic meters?



lower value:





upper value:


9) An old English children's rhyme states, "Little Miss Muffet sat on a tuffet, eating her curds and whey, when along came a spider who sat down beside her..." The spider sat down not because of the curds and whey but because Miss Muffet had a stash of 13 tuffets of dried flies. The volume measure of a tuffet is given by 1 tuffet = 2 pecks = 0.50 Imperial bushel, where 1 Imperial bushel = 36.3687 liters (L). What was Miss Muffet's stash in the following units?
(a) pecks


(b) imperial bushels


(c) liters

10) An old manuscript reveals that a landowner in the time of King Arthur held 5.00 acres of plowed land plus a livestock area of 25.0 perches by 4.00 perches. Here, 1 acre is an area of 40 perches by 4 perches, 1 rood is 40 perches by 1 perch, and 1 perch is 16.5 ft.
(a) What was the total area in the old unit of roods?


(b) What was the total area in the more modern unit of square meters?

Explanation / Answer

"...The speed of light is the speed that light travels in vacuum and a fundamental physical constant. It is normally denoted by c, and is approximately 300,000 kilometres (or 186,000 miles) per second, about a million times greater than the speed of sound..." http://en.wikipedia.org/wiki/Speed_of_li… (3.0 x 10^5 km/sec) x 1000m/km = 3.00 x 10^8m/sec "... 1 astronomical unit = SI units 149.60×10^6 km 149.60×10^9 m Astronomical units 4.8481 × 10-6 pc 15.813×10^-6 ly US customary / Imperial units 92.956×10^6 mi 490.81×10^9 ft An astronomical unit (abbreviated as AU, au, a.u., or sometimes ua) is a unit of length roughly equal to the mean distance between the Earth and the Sun. It is approximately 150 million kilometres (93 million miles). The symbol ua is recommended by the International Bureau of Weights and Measures,[1] but au is more common in Anglosphere countries. The International Astronomical Union recommends au,[2] while international standard ISO 31-1 uses AU. In general, capital letters are only used for the ..." http://en.wikipedia.org/wiki/Astronomica… 3.00 x 10^8m/sec /149.60×10^9 m/AU = 0.0020053475935828877005347593582888 AU/sec x 60 sec/min = 0.12032085561497326203208556149733 AU/minute

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