Convert 1 pascal into dyne per cm² using dimensional analysis
1 pascal = 10 dyne per cm². Pressure is [M L⁻¹ T⁻²], so only the powers of mass, length and time decide the factor.
pascal = dyne per cm²
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 1000 gram (g). L: 1 metre (m) is 100 centimetre (cm). T: 1 second (s) is the same in both systems.
- Put the numbers inn₂ = 1 [1 kg / 1 g] [1 m / 1 cm]⁻¹ [1 s / 1 s]⁻²
- Work out each bracket[M₁/M₂] = 1000; [L₁/L₂]⁻¹ = 100⁻¹ = 0.01; [T₁/T₂]⁻² = 1⁻² = 1
- Multiplyn₂ = 1 × 1000 × 0.01 × 1 = 10
- The answer1 pascal = 10 dyne per cm²
Pascal to dyne per square centimetre: quick answers
How do you convert pascal to dyne per cm²?
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 = 10 dyne per cm².
What is 1 pascal in dyne per cm²?
1 pascal = 10 dyne per cm².