Enunciado

Usando as dimensões nominais da lata de refrigerante dadas no Problema 1.47, determine a precisão com que o diâmetro e a altura devem ser medidos para que o volume da lata seja estimado dentro de uma incerteza de ± 0,5%.

Passo 1

Fala aí galera, vamos para mais um problema de mecânica dos fluidos. Primeiramente, sabemos que:

V 2 = a R  

V = a R = 41,1 m / s  

Logo:

u v = ± δ V V = ± 0,5 m i h r × s 41,1 m × 5280 m m i × h r 3600 s = ± 0,0178

u r = ± δ R R = ± 0,0267

Portanto:

u A = ± 2 × 0,0178 2 + 0,0267 2 1 2 = ± 0,0445

Resposta

u r = ± 0,0267

u A = ± 0,0445

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