Calculate the angular velocity of the Earth
- in its orbit around the Sun, and
- about its axis.
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This is Giancoli Answers with Mr. Dychko. To find the angular velocity of the Earth's orbit, it goes through a total of 2π radians or one full circle every year, every 365 days— I suppose I could have done 365.25, it'd be maybe more precise but that's fine 365— and then we'll convert that into radians per second by multiplying by 1 day for every 24 hours and then times by 1 hour for every 3600 seconds and we are left with radians per second and that's 1.99 times 10 to the minus 7 radians per second. For the rotation of the Earth each day, it travels 2π radians per day and times by 1 day for every 24 hours and 1 hour for every 3600 seconds and then you get 7.27 times 10 to the minus 5 radians per second for the angular velocity of the Earth's rotation.
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