Problem 6: Carry out the following conversions;
(a) Calculate the density of 1.33 * 10-7 g cm-3 into kg m-3.
(b) Calculate a speed of 20 m s-1 in km h-1.
(a) Given data: Density = 1.33*10-7 g cm-3
Required: Convert the above value to kg m-3
Strategy: Convert centimeters to meters and grams to kilograms.
- In the given data 1.33 * 10-7 grams of the mass are contained in a volume of 1 cm3. We have to convert 1.33*10-7 grams to kilograms and 1 cm3 to m3.
- When a multiple of base unit is raised to a power, the power applies to the whole multiple, for example, 1 km2 = 1 (km)2 = 1(103m)2 = 1*106 m2. (see question (i) in other questions)
Now use (A) and (B) to find the required relation.
This is the required expression.
Given data: velocity of 20 m/s
Required: convert to km/hr
Strategy: Convert meters to kilometers and seconds to hours.
We know that
Put the values of meter and second from equations (i) and (ii) in the given equation,
This was required.