Convert 1 m²/s into stokes using dimensional analysis
1 m²/s = 10,000 stokes. Kinematic viscosity is [L² T⁻¹], so only the powers of mass, length and time decide the factor.
m²/s = stokes
Step by step
- The dimension of kinematic viscosityKinematic viscosity has the dimensions [L² T⁻¹]. 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 [L₁/L₂]² [T₁/T₂]⁻¹.
- The size of each base unitL: 1 metre (m) is 100 centimetre (cm). T: 1 second (s) is the same in both systems.
- Put the numbers inn₂ = 1 [1 m / 1 cm]² [1 s / 1 s]⁻¹
- Work out each bracket[L₁/L₂]² = 100² = 10000; [T₁/T₂]⁻¹ = 1⁻¹ = 1
- Multiplyn₂ = 1 × 10000 × 1 = 10,000
- The answer1 m²/s = 10,000 stokes
Kinematic viscosity, square metre per second to stokes: quick answers
How do you convert m²/s to stokes?
Kinematic viscosity is [L² T⁻¹]. Multiply by the ratio of each base unit raised to its power in the dimension. That gives 1 m²/s = 10,000 stokes.
What is 1 m²/s in stokes?
1 m²/s = 10,000 stokes.