Question

The orbital radius of Venus

is 10.8 x 1010 m. Its rotation
period is 224.7 days. What is its
orbital speed?
A 20 km s-1 C 35 km s-1
B 25 km s-1 D 62 km 5-1
​

Answer 1

v = 35 km/s

Step-by-step explanation:

Given that,

Orbital radius of Venus,
`r=10.8* 10^(10)\ m=10.8* 10^(10)* 10^(-3)=10.8* 10^(7)\ km`

The rotation period is,
`T = 224.7\ \text{days}=19414080\ s`

We need to find the orbital speed of the Venus. The formula for the orbital speed is given by :

`v=(2\pi r)/(T)\\\\v=(2\pi * 10.8* 10^(7))/(19414080)\\\\=34.95\ km/s`

or

v = 35 km/s

So, the orbital speed of Venus is 35 km/s.