First timer at physics needs help

[natpac82]

Homework Statement

3 3
6.21x10 kg/m converted to slugs/gal

Homework Equations

The Attempt at a Solution

I don't know where to begin to attempt this. I am having a lot of trouble with conversions. Please help. I have never taken physics before. Thank you

 

[rock.freak667]

I think you want to convert kg/m³ right?

Well 1 kg is how many slugs?

How many m³ are in a gal?

 

[inky]

Homework Statement

3 3
6.21x10 kg/m converted to slugs/gal

Homework Equations

The Attempt at a Solution

I don't know where to begin to attempt this. I am having a lot of trouble with conversions. Please help. I have never taken physics before. Thank you

1 kg=0.068521 slug
1 gal =0.003785 m^3

(6.21*10^3) kg /m^3= (6.21*10^3) *(0.068521)*0.003785 slug/gal

 

[rock.freak667]

1 kg=0.068521 slug
1 gal =0.003785 m^3

(6.21*10^3) kg /m^3= (6.21*10^3) *(0.068521)*0.003785 slug/gal

right so 1 kg=0.068521 slug and 1m³ = 264.172052358. You are converting 1 kg/ 1 m³. So you are correct in what you are doing, but you need to divide, not multiply.

 

[rdl]

for reaching out for help with your physics homework. Conversions can definitely be tricky, but with some practice and understanding of the units involved, you will be able to successfully complete this problem. To start, let's break down the given units and see what we are trying to convert.

6.21x10^3 kg/m is a unit of density, specifically kilograms per cubic meter. This tells us how much mass is contained within a given volume.

To convert this to slugs/gal, we need to first understand what slugs and gallons represent. Slugs are a unit of mass, and gallons are a unit of volume. So we are essentially converting from a density unit to a mass/volume unit.

To do this, we will need to use the conversion factor for density, which is mass/volume. In this case, we can use the conversion factor of 1 kg/m^3 = 0.00194032 slugs/gal.

Now we can set up our conversion equation as follows:

6.21x10^3 kg/m^3 x (0.00194032 slugs/gal) = 1.20552 slugs/gal

This means that 6.21x10^3 kg/m^3 is equivalent to 1.20552 slugs/gal.

I hope this helps you understand how to approach this type of conversion problem. Remember to always pay attention to the units and use the appropriate conversion factors. Good luck with your physics studies!