Um canal trapezoidal tem base b = 2,20 m, em boas condições, fundo em terra com declividade I0 = 0,2 % e talude com pedras com inclinação 1H:1V. Qu...

Para calcular a altura d'água em um canal trapezoidal, podemos utilizar a equação de Manning-Strickler, que relaciona a vazão, a área molhada, o raio hidráulico e a declividade do canal. A equação é dada por: Q = (1/n) * A * R^(2/3) * S^(1/2) Onde: Q = vazão (m³/s) n = coeficiente de rugosidade de Manning A = área molhada (m²) R = raio hidráulico (m) S = declividade do canal (m/m) Para um canal trapezoidal, a área molhada e o raio hidráulico podem ser calculados pelas seguintes equações: A = b*y + z*y² R = A / (b + 2*y*(1+z²)^(1/2)/z) Onde: b = largura do fundo do canal (m) y = altura da lâmina d'água (m) z = talude lateral (1H:zV) Substituindo as equações de área molhada e raio hidráulico na equação de Manning-Strickler, temos: Q = (1/n) * (b*y + z*y²) * [b + 2*y*(1+z²)^(1/2)/z]^(2/3) * S^(1/2) Podemos resolver essa equação para encontrar a altura d'água (y) para uma vazão Q = 1,6 m³/s. Para isso, precisamos conhecer o coeficiente de rugosidade de Manning (n), que depende do tipo de revestimento do canal. Supondo que o canal tenha revestimento de pedra, podemos adotar um valor de n = 0,035. Substituindo os valores dados na equação, temos: 1,6 = (1/0,035) * (2,20*y + y²) * [2,20 + 2*y*(1+1²)^(1/2)]^(2/3) * 0,002 Simplificando a equação, temos: y² + 2,20*y - 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