1.

A garden hose of diameter 2 cm is used to fill a 20 liter bucket. If it takes 1 minute to fill the bucket, what is the speed at which water enters the hose?(a) 106.1 cm/s(b) 106 cm/s(c) 106.5 cm/s(d) 106.8 cm/sThe question was asked in an online interview.The above asked question is from Fluids in Motion topic in portion Fluid Flow and Mixing of Bioprocess Engineering

Answer»

Correct ANSWER is (a) 106.1 cm/s

To EXPLAIN: The cross-sectional area of the hose will be GIVEN by:

A1 = π r^2 = π (2 cm/2)^2 = π cm^2

To FIND the velocity, v1, we use

Flow rate = A1 v1 = 20.0 L/min = \(\FRAC{20.0 × 10^3 cm^3}{60.0 s}\)

v1 = \(\frac{20.0 × \frac{10^3 cm^3}{60.0s}}{\pi cm^2}\)

= 106.1 cm/s



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