Assume Earth orbit is circular with a radius of 149 million km, and its period i

Question

Assume Earth orbit is circular with a radius of 149 million km, and its period is exactly one year. Find the speed of the Earth in its orbit, in m/s, and the magnitude of its centripetal acceleration??

**Rules for soving problem fully:

1. draw a picture

2. define x and y axes and label the origin.

3. label the coordinates of your initial and final points; use letters only, no numbers.

4. make a table of the information for x and y dimentsions.

5. Write the final position equation for each dimension

6. Count your equations and unknows.... then solve!

Explanation / Answer

a)

here

speed = distance /time

v = 2 * 3.14 * 149000000000 / (3.15 * 10^7)

v = 29700 m/s

then centripetal acceleration is

ac = v^2 / r

ac = 29700^2 / 149000000000

ac = 5.92 * 10^-3 m/s^2

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