Which statement is true about the process shown?
2 answers:
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Answer:
The magnitudes of the speed and acceleration of the Earth are approximately 66,661.217 miles per hour and 47.782 miles per square hour, respectively.
Explanation:
Given that the Earth has a circular orbit and make a revolution at constant speed around the Sun. Then, the kinematic formulas for the speed and acceleration of the planet are, respectively:
Speed
(1)
Acceleration
(2)
Where:
- Speed of the planet, measured in miles per hour.
- Acceleration of the planet, measured in miles per square hour.
- Radius of the orbit, measured in miles.
- Period of rotation, measured in hours.
If we know that and
, then the magnitudes of the speed and acceleration of the planet is:
The magnitudes of the speed and acceleration of the Earth are approximately 66,661.217 miles per hour and 47.782 miles per square hour, respectively.