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Terminal velocity
v_t = 2r²(ρ − σ)g / 9η
Where: η = viscosity / efficiency, g = acceleration due to gravity (m/s²), r = radius / distance (m), ρ = density (kg/m³) / resistivity, σ = Stefan–Boltzmann constant / surface charge density, vₜ = Terminal velocity
Solved example
Given: eta = 7, g = 5, r = 10, rho = 4, sigma = 3
Find: v_t (Terminal velocity)
- Formula: vₜ = 2·g·r²·(ρ - σ)/(9·η)
- Substitute the values: vₜ = 2·10²·5·(-3 + 4)/(9·7)
- Result: vₜ = 15.873016
Answer: v_t = 15.873016
Calculator
How to calculate Terminal velocity
- Write down the formula: v_t = 2r²(ρ − σ)g / 9η.
- Note the known values (η, g, r, ρ, σ).
- Substitute them and simplify to find v_t.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Terminal velocity?
The formula is v_t = 2r²(ρ − σ)g / 9η, where η = viscosity / efficiency, g = acceleration due to gravity (m/s²), r = radius / distance (m), ρ = density (kg/m³) / resistivity, σ = Stefan–Boltzmann constant / surface charge density, vₜ = Terminal velocity.
What is Terminal velocity when eta = 7, g = 5, r = 10, rho = 4, sigma = 3?
v_t = 15.873016. Substitute the values into v_t = 2r²(ρ − σ)g / 9η and simplify.