Centripital Force of the Earth

[BoldKnight399]

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.

 

[rock.freak667]

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?

 

[BoldKnight399]

no I did not. Lemme see if that works now

 

[BoldKnight399]

Thank you so much!