Question

There are many units of pressure. The standard one is Pa. Express Pa using only the fundamental units of meters, kilograms and seconds. Explain.

Answer 1

The pascal is the standard SI unit for pressure and is defined as one newton per square meter (N/m²), which can be expressed in fundamental units as 1 kg/(m × s²).

Step-by-step explanation:

The SI unit for pressure is the pascal (Pa), which is defined as a newton per square meter (N/m²). A newton (N) is the SI unit of force and it is equal to 1 kg m/s². When expressing the pascal using only the fundamental SI units of kilograms, meters, and seconds, we see that:

1 N is equivalent to 1 kg × m/s² (mass × acceleration)

Therefore, 1 Pa is equivalent to 1 N/m²

When broken down into basic units, this becomes 1 Pa = 1 kg/(m × s²)

The pascal measures the amount of force exerted over an area of one square meter. This depiction of pressure as kg/(m × s²) is crucial for understanding how different forces and areas impact the resulting pressure.

Answer 2

Pa = kg/m.s²

Step-by-step explanation:

Pascal (Pa) is the S.I unit of pressure. The formula of pressure is given as follows:

Pressure = Force/Area

The S.I Unit for force is Newton (N) and for Area is (m²). Therefore, the S.I Unit of Pressure will be:

Pressure = N/m²

Therefore, it will be equal to Pascal (Pa)

Pa = N/m²

but, the formula for force is given by Newton's 2nd Law:

Force = (mass)(acceleration)

using S.I Units:

N = (kg)(m/s²)

Therefore,

Pa = [(kg.m/s²)/m²]

Pa = kg/m.s²