The earth spins on its axis once a day and orbits the sun once ayear (365.24 day

Question

The earth spins on its axis once a day and orbits the sun once ayear (365.24 days). In each case take the positive direction forthe angular displacement to be the direction of the earth's motion. (a) Determine the average angular velocity ofthe earth as it spins on its axis.
1 rad/s

(b) Determine its angular velocity as it revolves around thesun.
2 rad/s (a) Determine the average angular velocity ofthe earth as it spins on its axis.
1 rad/s

(b) Determine its angular velocity as it revolves around thesun.
2 rad/s

Explanation / Answer

(a). the average angular velocity of the earth as it spins onits axis is w = 2 / T         w = 2 / 24h            =2 / ( 24 * 60 * 60 s )            =7.272 * 10 ^ -5 rad / s (b). angular velocity as it revolves around the sun w ' =2 / T '                              w ' = 2 / ( 365.24 days )                                    = 2 / ( 365.24 * 24*3600s )                                    = 1.9 * 10 ^ -7 rad / s

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