Dimensional Analysis
How do you go from 50 kg/m to g/cm?
50kg/m to g/cm
=500g/cm
since 1000g makes 1kg amd 100cm makes 1m
den==50*(1000/100)=500
1 kg = 1000g
1 m = 100 cm
so just replace the old units with the new ones
50 kg/m
= 50000g/100 cm
= 500 g/cm
To convert from kilograms per meter (kg/m) to grams per centimeter (g/cm), we can use dimensional analysis.
Dimensional analysis is a method used to convert units by multiplying by conversion factors. The conversion factors are ratios that relate the two units we want to convert between. In this case, we have:
1 kg = 1000 g (since there are 1000 grams in a kilogram)
1 m = 100 cm (since there are 100 centimeters in a meter)
To convert 50 kg/m to g/cm, we need to set up conversion factors that will cancel out the unwanted units and leave us with the desired units.
Here's how you can do it step by step:
Step 1: Start with the given value: 50 kg/m.
Step 2: Set up conversion factors so that unwanted units cancel out. We want to cancel out kilograms and meters and end up with grams and centimeters.
50 kg/m * (1000 g/1 kg) * (1 m/100 cm)
Step 3: Multiply the numbers in the numerator (top) and denominator (bottom) of the fraction.
50 * 1000 * 1 / 1 * 100
Step 4: Cancel out the units and calculate the result.
50 * 1000 * 1 / 1 * 100 = 5000000 / 100 = 50000 g/cm.
Therefore, 50 kg/m is equivalent to 50000 g/cm.