How to Convert .15Mo/pc^3 to g/cm^3?

AI Thread Summary
To convert .15 Mo/pc^3 to g/cm^3, multiply .15 by the solar mass (1.9e33 g) and then divide by the cube of the distance in parsecs (3e18 cm). The correct formula is .15 * (1.9e33 / (3e18)^3). This method ensures that the units are consistent throughout the calculation. Using conversion factors in the same power as the units in the formula is essential for accuracy. The discussion confirms the approach and provides reassurance on the calculation method.
leonne
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Homework Statement


I am giving .15Mo/pc^3 how can i convert that into g/cm^3
mo is solar mass and its in grams and pc is distance so its in cm so wht would i do to convert it?


Homework Equations





The Attempt at a Solution


would i just mutiply .15 by the solarmass(1.9e33g) than divide by pc^3 which is (3e18 cm)
so would i do .15((1.9e33/(3e18^3) ?
 
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hi leonne! :smile:

(try using the X2 icon just above the Reply box :wink:)
leonne said:
would i just mutiply .15 by the solarmass(1.9e33g) than divide by pc^3 which is (3e18 cm)
so would i do .15((1.9e33/(3e18^3) ?

i assume you mean .15((1.9e33/(3e18)^3) ? :wink:

yes, that's correct …

in dimensions questions like this, you use the conversion factor to the same power as the unit appears it the formula :smile:

(if it makes you happier, you can check it by writing 1 Mo/pc3 = 1 (Mo/g) (cm/pc)3 g/cm3 :wink:)
 
will do... k thxs for the reply
 
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