1. Various geometric formulas are given in Appendix E.
f f f f f f f
(a) Expressing the radius of the Earth as f f f f f f
R = (6.37 106 m)(10−3 km m)= 6.37 103 km,
f f f f f f f f f f f
its circumference is s = 2R =2(6.37 103 km) = 4.00104 km.
f f f f f f f f f f f f f f f f
= 4 (6.37 103 km)
2
(b) The surface area of Earth is A = 4R2
f f f f f f f f f f f f f f = 5.10 108 km2.
f f f
4 4
(6.37 103 km)
3
(c) The volume of Earth is V = R3 = = 1.08 1012 km3.
f f f
f f f f f f f f f f f f f f f f
3 3
2. The conversion factors are: 1 gry =1 /10 line , 1 line =1 /12 inch and 1 point = 1/72
f f f f f f f f f f f f f f f f f f f
inch. The factors imply that
f f f f f
1 gry = (1/10)(1/12)(72 points) = 0.60 point.
f f f f f f f
Thus, 1 gry2 = (0.60 point)2 = 0.36 point2, which means that 0.50 gry 2 = 0.18 point 2 .
f f f f f f f f f f f f f f f f f
3. The metric prefixes (micro, pico, nano, …) are given for ready reference on the inside
f f f f f f f f f f f f f f
front cover of the textbook (see also Table 1–2).
f f f f f f f f f
(a) Since 1 km = 1 103 m and 1 m = 1 106 m,
f f f f f f f f f f f f f f f
1km = 103 m = (103 m)(106 f f f f f f m m) = 109f f f m.
The given measurement is 1.0 km (two significant figures), which implies our
f f f f f f f f f f f
result should be written as 1.0 109 m.
f f f f f f f f f
(b) We calculate the number of microns in 1 centimeter. Since 1 cm = 10−2 m,
f f f f f f f f f f f f f f
1cm = 10−2 m = (10−2m)(106 m m)= 104
f f f f f f f f f m.
We conclude that the fraction of one centimeter equal to 1.0 m is 1.0 10−4.
f f f f f f f f f f f f f f f
(c) Since 1 yd = (3 ft)(0.3048 m/ft) = 0.9144 m,
f f f f f f f f f
1
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Ascorers. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $17.99. You're not tied to anything after your purchase.
