A fish tank has dimensions 36 cm wide by 1.0 m long by 0.60 m high. If the filter should process all the water in the tank once every 4.0 h, what should the flow speed be in the 3.0-cm-diameter input tube for the filter?

0.02 m/s

Explanation:

using the formula for flow rate

Q = V / t = Av

v ( speed) = V/ ( TA) where V is volume in m³, t is in seconds, and A is area of the 3.0 cm diameter

V = length × breath × height = 0.36 m × 1.0 m × 0.60 m = 0.216 m³

Area = πr² = π ( 0.03 / 2)² = 0.00071 m²

t = 4 × 60 × 60 = 14400 s

substitute the values into the equation

v =   0.216 m³ / ( 14400 s × 0.00071 m² ) = 0.02 m/s

less than one you can't create energy

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