Uma gota de chuva tem diâmetro médio de 2,5 mm. Calcular a velocidade limite da gota se o ar tem ρ = 1,2 kg/m3 e ν = 1,8 × 10–6m2/s.

Para calcular a velocidade limite da gota de chuva, podemos usar a Lei de Stokes. Essa lei relaciona a velocidade limite de uma partícula em queda livre com o seu diâmetro e as propriedades do fluido em que ela está imersa. A fórmula para calcular a velocidade limite (V) é dada por: V = (2 * g * r^2 * (ρ - σ)) / (9 * η) Onde: - g é a aceleração da gravidade (aproximadamente 9,8 m/s^2) - r é o raio da gota de chuva (metade do diâmetro) - ρ é a densidade do fluido (no caso, a densidade do ar) - σ é a densidade da gota de chuva (assumindo que seja 1000 kg/m^3, que é próximo da densidade da água) - η é a viscosidade dinâmica do fluido (no caso, a viscosidade do ar) Vamos calcular: - r = 2,5 mm / 2 = 1,25 mm = 0,00125 m - ρ = 1,2 kg/m^3 - σ = 1000 kg/m^3 - η = 1,8 × 10^(-6) m^2/s Substituindo os valores na fórmula: V = (2 * 9,8 * (0,00125)^2 * (1,2 - 1000)) / (9 * 1,8 × 10^(-6)) Calculando o valor, encontramos: V ≈ 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