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

`29861.23\ \text{m/s}`

Step-by-step explanation:

`R=\text{Radius of Earth's orbit}=1.5*10^(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* 1.5*10^(11)\\\Rightarrow C=942477796076.938\ \text{m}`

Velocity is given by

`v=(C)/(T)\\\Rightarrow v=(942477796076.938)/(365.3* 24* 60* 60)\\\Rightarrow v=29861.23\ \text{m/s}`

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