The earth makes one complete revolution around the sun in 365.24 days. Assuming that the orbit of the earth is circular and has a radius of 93,000,000 mi, determine the speedand magnitude of the acceleration of the earth, while treating earth as a point particle.[Hint: you can find the angular speed]Please be consistent with the units.

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.

are there answer choices to this question? this seems like a question where you have options to choose from.

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