Did I Calculate the Centripetal Force of the Earth Correctly?

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The centripetal force exerted on the Earth by the Sun was initially calculated using the formula Fcep = mVt^2/r, with the period of revolution set at 365.25 days and the average distance from the Sun at 1.5X10^8 km. The velocity was calculated as 29.86531 m/s, leading to a centripetal force of 3.5677X10^19 N. However, the calculation was incorrect due to not converting kilometers to meters. After recognizing this error, the user plans to recalculate the force with the correct unit conversion. Accurate unit conversion is crucial for proper calculations in physics.
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Calculate the centripital force exerted on the Earth by the Sun. Assume that the period of one revolution is 365.25 days. The average distance is 1.5X10^8 km and the Earth's mass is 6X10^24 kg.

ok so first I turned the time into seconds. Then I tried to find the velocity of the Earth using the equation:
Vt=2piR/T
so that became:
Vt=2pi(1.5X10^8km)/(31557600sec)
so the velocity was 29.86531 m/s
I then plugged it into the equation
Fcep=mVt^2/r
so F=(6X10^24)(29.86531)^2/(1.5X10^8)
F=3.5677X10^19

apparently that was the wrong answer. I was hoping that someone could see what I did wrong and help me out.
 
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BoldKnight399 said:
Calculate the centripital force exerted on the Earth by the Sun. Assume that the period of one revolution is 365.25 days. The average distance is 1.5X10^8 km and the Earth's mass is 6X10^24 kg.

ok so first I turned the time into seconds. Then I tried to find the velocity of the Earth using the equation:
Vt=2piR/T
so that became:
Vt=2pi(1.5X10^8km)/(31557600sec)

In the next line did you convert km to m?
 
no I did not. Lemme see if that works now
 
Thank you so much!
 
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