The earth may be treated as a sphere of radius 6.4 x 10⁶ m.  A boat sailing around the world sails along the equator heading west from the Galapagos Islands (about 600 miles west of Ecuador) at 90^o W longitude to Nauru, the world’s smallest republic, at 167^o E longitude.  It makes this journey in a time of 7.3 weeks.

(a) Through what total angle in degrees has the boat sailed?  (b) How far has the boat traveled during this time?  (c) What was the boat’s average linear speed?  (d) What was the boat’s average angular velocity?

Answers:   (a) 103^o   (b) 1.2 x 10⁷ m   (c) 2.7 m/s   (d) 4.2 x 10^-7 rad/s