Final answer:
To convert the density of water from slug/ft³ to kg/m³, multiply 1.94 by 14.5939 and then by the reciprocal of 0.0283168 to get approximately 1000 kg/m³.
Step-by-step explanation:
To convert the density of water from slug/ft³ to SI units, we need to express it as kg/m³. First, note that 1 slug is equivalent to 14.5939 kg and one cubic foot is equivalent to 0.0283168 cubic meters. Now, using the given density of 1.94 slug/ft³:
- Multiply the density in slug/ft³ by the conversion factor for slug to kilograms to get the density in kg/ft³.
- Next, multiply the result from step 1 by the conversion factor for cubic feet to cubic meters to get the density in kg/m³.
So, 1.94 slug/ft³ × 14.5939 kg/slug × 1 ft³/0.0283168 m³ equals approximately 1000 kg/m³, which is the density of water in SI units.