I'm confused about how to start this question and what formula to use. Jupiter rotates on its axis once every 10 hours. Through how many radians does it turn in one week?

Answer 1

Answer 2

one week = 7 x 24 hours = 168 hours,

divide by 10 hours = 168/10 = 16.8 rotations

each rotation is 2pi radians

16.8 x 2pi = exactly 33.6pi radians in a week

= about 33.6(3.14159) = about 105.557 radians in a week

33.6 pi radians = 33.6pi(180/pi) = 33.6(180) = exactly 6,048 degrees in a week

Answer 3

Since a week is 168 hours it will rotate on its axis 168/10 = 16.8 times in a week.

The amount of radians it turns for each rotation is the circumference: 2 * PI radians = 6.28 radians

Therefore the amount of radians turned in a week is = 16.8 * 6.28 = 105.504 radians.