What is the Density of the Earth in Pounds per Cubic Foot?

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SUMMARY

The density of the Earth can be calculated using the formula density = mass/volume. Given the mass of the Earth as 5.97 x 1024 kg, the conversion to pounds is necessary, using the factor of 2.2 lbs/kg. However, to complete the calculation, the volume of the Earth must also be determined, which requires knowledge of the Earth's radius or diameter. Without this information, it is impossible to accurately calculate the density in pounds per cubic foot.

PREREQUISITES
  • Understanding of density calculation (density = mass/volume)
  • Knowledge of unit conversion (kg to lbs)
  • Familiarity with the Earth's physical properties (mass, radius)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the formula for calculating the volume of a sphere to find the Earth's volume.
  • Look up the radius of the Earth to complete the density calculation.
  • Study unit conversion techniques, specifically from kilograms to pounds.
  • Explore the implications of density in geophysics and planetary science.
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Students in physics or earth sciences, educators teaching density concepts, and anyone interested in planetary measurements and calculations.

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Homework Statement


The mass of the Earth is 5.97 e 24 KG. If density = mass/volume, what would be the density of the Earth in pounds/ft(3)

Homework Equations




The Attempt at a Solution


5.97 e24 KG X 2.2 lbs x 1ft(3)/62.4lbs = 2.1 e23 ft(3)...


I don't know what to do after this.
 
Last edited:
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The mass of the Earth is 5.97 e 24 KG. If density = mass/volume, what would be the density of the Earth in pounds/ft(3)

5.97 e24 KG X 2.2 lbs x 1ft(3)/62.4lbs = 2.1 e23 ft(3)...


I don't know what to do after this, or am I even on the right track?
 
964js7 said:

Homework Statement


The mass of the Earth is 5.97 e 24 KG. If density = mass/volume, what would be the density of the Earth in pounds/ft(3)

Homework Equations



The Attempt at a Solution


5.97 e24 KG X 2.2 lbs x 1ft3/62.4lbs = 2.1 e23 ft3...

I don't know what to do after this.

Welcome to PF.

What have they asked for?

Density = \frac{POUNDS}{Feet^3}

You have converted mass to pounds?
And then what?
What are the other numbers?
 
I have merged these two threads together. Please do not post the same question multiple times.

- Warren
 
LowlyPion said:
Welcome to PF.

What have they asked for?

Density = \frac{POUNDS}{Feet^3}

You have converted mass to pounds?
And then what?
What are the other numbers?

Thank you, but all I got is{5.97 e ^3}KGfor a number... They are asking for the density of the Earth in pounds per cubed foot.
 
964js7 said:
5.97 e24 KG X 2.2 lbs

I suppose that was aimed at converting kg to lbs. For that you conversion factor unit should be lbs/kg:

5.97e24 kg * 2.2 lbs/kg = 2.2*5.97e24 kg*lbs/kg

Note, how kg cancels out.
 
Borek said:
I suppose that was aimed at converting kg to lbs. For that you conversion factor unit should be lbs/kg:

5.97e24 kg * 2.2 lbs/kg = 2.2*5.97e24 kg*lbs/kg

Note, how kg cancels out.

Yes, sorry about not including the conversions in my OP..

http://img293.imageshack.us/img293/4198/92845158ma2.png
 
Last edited by a moderator:
Conversion is OK, but then you start making tricks. What is the density definition? If you know the mass, what is the other property of the object that you need to calculate density?
 
The other property would be volume, but I don't know how to get it with the given info..
 
  • #10
964js7 said:
The other property would be volume, but I don't know how to get it with the given info..

What volume are you looking to find? Maybe you can find it elsewhere?
 
  • #11
Yes, you need the radius or diameter of the Earth, as well as its mass, to find its density. If those values are not given, then there is not enough information to answer the question -- unless, of course, you are expected to go look up the radius of the Earth yourself.

- Warren
 
  • #12
chroot said:
Yes, you need the radius or diameter of the Earth, as well as its mass, to find its density. If those values are not given, then there is not enough information to answer the question -- unless, of course, you are expected to go look up the radius of the Earth yourself.

- Warren

Should I Just write, not enough info. on my paper? He didnt tell us to search for the radius.
 
  • #13
If he only gave you one number, and you need two, then yeah -- that's not enough information.

- Warren
 
  • #14
964js7 said:
Should I Just write, not enough info. on my paper? He didnt tell us to search for the radius.

The radius is readily available.

I'd look it up and finish the answer.

It's not like he can grade you off for finishing what he didn't provide.

At least you would have shown initiative.
 

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