Question

The distance between the Sun and the Earth is 1 AU (150 million km). Calculate the distance traveled by the Earth in one year. b. It takes 365 days for the Earth to complete one revolution around the Sun. Calculate the speed (in km/s) with which it is going around the Sun. (Hints: speed = distance/time, convert one year to seconds and 1AU to meters.)

Answer 1

Answer:

a.$9.42\times 10^{11} m$

b.29.9 Km/s

Explanation:

We are given that

The distance between the Sun and the Earth=1 AU=150 million=$150\times 10^9 m=1.5\times 10^{11}$m

1 million km=$10^9 m$

Time=365 days

a.Radius=r=$1.5\times 10^{11} m$

The distance traveled by Earth in in 1 year=$2\pi r=2\times 3.14\times 1.5\times 10^{11}=9.42\times 10^{11} m$

By using $\pi=3.14$

The distance traveled by Earth in in 1 year=$9.42\times 10^{11} m$

b.The distance traveled by Earth in in 1 year (365 days)=1 revolution=$9.42\times 10^{11} m=9.42\times 10^{11}\times 10^{-3}Km=9.42\times 10^8 km$

1 km=1000 m

Time =365 days=$365\times 24\times 60\times 60=31536000 s$

1 day=24 hours

1 hour=60 minutes

1 minute=60 seconds

Speed=$\frac{distance}{time}$

Using the formula

Speed of  Earth=$\frac{9.42\times 10^8}{31536000}=29.9 km/s$

Hence, the speed of Earth=29.9 km/s