Calculating Weight Density of Oil

How can we determine the weight density of an oil based on its specific volume?

Given that the specific volume of an oil is 0.003 m³/kg, what is the weight density of the oil?

Answer:

The weight density of the oil with specific volume 0.003 m³/kg is approximately 3266.67 N/m³.

Weight density, also known as specific weight or volumetric weight, is the weight per unit volume of a substance. It is often used in fluid dynamics and is expressed in units such as Newtons per cubic meter (N/m³) or kg/m³.

To find the weight density of an oil with a specific volume of 0.003 m³/kg, we need to take its reciprocal. The reciprocal of specific volume is density, so the density of the oil would be 1/0.003 kg/m³, which equals 333.3333 kg/m³.

However, to get the weight density in terms of N/m³, we must multiply the density by gravitational acceleration (approximately 9.8 m/s²). Therefore, the weight density of the oil in N/m³ is 333.3333 kg/m³ * 9.8 m/s² = 3266.67 N/m³.

This calculation gives us the weight density of the oil based on its specific volume. Understanding weight density is crucial in various engineering applications where the weight of a substance per unit volume plays a critical role.