Keplers third law: why kg doesn't cancel in the radius equation

[channel1]

Homework Statement

find the radius
R³=((T²GM/(4∏²))^1/3

The Attempt at a Solution

simple enough, my only question is when I plug in T (units: sec) G (units: m/s^2) and M (units: kg) there is nothing to cancel out the kg so my R is not in units of meters...the equation is correct because we were given it in class but what's going on with the units?

 

[Dick]

Homework Statement

find the radius
R³=((T²GM/(4∏²))^1/3

The Attempt at a Solution

simple enough, my only question is when I plug in T (units: sec) G (units: m/s^2) and M (units: kg) there is nothing to cancel out the kg so my R is not in units of meters...the equation is correct because we were given it in class but what's going on with the units?

Homework Statement

Homework Equations

The Attempt at a Solution

G in this problem isn't an acceleration. It's the gravitational constant G. The units are m^3/(kg*s^2).

 

[gneill]

Homework Statement

find the radius
R³=((T²GM/(4∏²))^1/3

The Attempt at a Solution

simple enough, my only question is when I plug in T (units: sec) G (units: m/s^2) and M (units: kg) there is nothing to cancel out the kg so my R is not in units of meters...the equation is correct because we were given it in class but what's going on with the units?

Homework Statement

That's G, not g

EDIT: Beaten to the punch!

 

[channel1]

Ah hah! Thank you both!