Answer to Question #204189 in Molecular Physics | Thermodynamics for Moon Srivastava

Question

With a 3-fold increase in the radius of the circular orbit of an artificial Earth

satellite, the period of its rotation increases by 6 times. How many times will

the satellite's orbital speed change?

Answer 1

as we know ,

$speed ={distance\over time}$

in circular orbit ,the relation between T,R,V is:

$V={2\pi R\over T}$

as given radius increased 3 times and time period by 6 times.

we get:

$V'={2\pi (3R)\over(6T)}={2 \pi R \over2T}$

$V'={V\over2}$

therefore speed will reduced to half the original.