Convert 1 pascal into poundal per ft² using dimensional analysis
1 pascal = 0.671969 poundal per ft². Pressure is [M L⁻¹ T⁻²], so only the powers of mass, length and time decide the factor.
pascal = poundal per ft²
Step by step
- The dimension of pressurePressure has the dimensions [M L⁻¹ T⁻²]. Only the powers of M, L and T matter for the conversion.
- The conversion ruleA quantity with dimensions [Ma Lb Tc] has the number n₂ = n₁ [M₁/M₂]ᵃ [L₁/L₂]ᵇ [T₁/T₂]ᶜ in the new system. Here n₂ = n₁ [M₁/M₂] [L₁/L₂]⁻¹ [T₁/T₂]⁻².
- The size of each base unitM: 1 kilogram (kg) is 2.204623 pound (lb). L: 1 metre (m) is 3.28084 foot (ft). T: 1 second (s) is the same in both systems.
- Put the numbers inn₂ = 1 [1 kg / 1 lb] [1 m / 1 ft]⁻¹ [1 s / 1 s]⁻²
- Work out each bracket[M₁/M₂] = 2.204623; [L₁/L₂]⁻¹ = 3.28084⁻¹ = 0.3048; [T₁/T₂]⁻² = 1⁻² = 1
- Multiplyn₂ = 1 × 2.204623 × 0.3048 × 1 = 0.671969
- The answer1 pascal = 0.671969 poundal per ft²
Pascal to poundal per square foot: quick answers
How do you convert pascal to poundal per ft²?
Pressure is [M L⁻¹ T⁻²]. Multiply by the ratio of each base unit raised to its power in the dimension. That gives 1 pascal = 0.671969 poundal per ft².
What is 1 pascal in poundal per ft²?
1 pascal = 0.671969 poundal per ft².