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What is the angular speed (in rev/min) of the Earth as it orbits about the Sun?
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1 revolution per year
\[\frac{2\pi\text{radians}}{\text{revolution}}\times\frac{\text{revolution}}{\text{year}}\times\frac{\text{year}}{365\text{days}}\times\frac{\text{day}}{24\text{hours}}\times\frac{\text{hour}}{60\text{minutes}}\]
or\[\frac{\text{revolution}}{\text{year}}\times\frac{\text{year}}{365\text{days}}\times\frac{\text{day}}{24\text{hours}}\times\frac{\text{hour}}{60\text{minutes}}\]since you just want it in terms of revolutions...
angular speed is \[1.90 \times 10 ^{-6} [{rev \over min}]\]
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