Question

Help!!

Earth has a radius R = 1.5 x 1011 m, T= 365.3 days, and m= 5.97 x 1024 kg. Calculate the
speed of Earth around the sun, assuming a circular orbit.

Answer 1

Answer:

$29861.23\ \text{m/s}$

Explanation:

$R=\text{Radius of Earth's orbit}=1.5\times10^{11}\ \text{m}$

$T=\text{Time taken by the Earth to complete the orbit}=365.3\ \text{days}$

Assuming the orbit is of circular shape the distance the Earth has to travel is the circumference

$C=2\pi R\\\Rightarrow C=2\pi\times 1.5\times10^{11}\\\Rightarrow C=942477796076.938\ \text{m}$

Velocity is given by

$v=\dfrac{C}{T}\\\Rightarrow v=\dfrac{942477796076.938}{365.3\times 24\times 60\times 60}\\\Rightarrow v=29861.23\ \text{m/s}$

The speed of the Earth around the Sun is $29861.23\ \text{m/s}$