(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Graph the relationship between the speed of a satellite orbiting a large mass in uniform circular motion. Also I need to learn how to properly write proportionality constant and proportionality equation.

2. Relevant equations

in the equation below, m is the mass of the larger mass. G is gravitational constant 6.67x10^-11.

v = [tex]\sqrt{Gm/r}[/tex]

3. The attempt at a solution

I think that:

V is directly proportional to sqrt of Gm (v [tex]\propto[/tex] [tex]\sqrt{Gm/r}[/tex]]

and

V is inversely proportional to sqrt of r ( v [tex]\propto[/tex] 1/r )

Now how do i graph these, i have ideas:

Remove the square root by making the y axis squared.

And first proportionality is linear and the second one is decreasing from value of 1 because its 1/r relationship and maximum y value is 1.

For writing proportionality statements is everything in the numerator directly proportional, and everything in the denominator inversely proportional?

Also how does the proportionality constants work? I know you have to introduce them with I believe every relationship. Do they go with the inverse relationships as well? And with equations with numerator and denominator is there a constant on both top and bottom or is it made into one value.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Orbital Velocity vs Mass and Orbital Velocity vs Radius

**Physics Forums | Science Articles, Homework Help, Discussion**