Water at 20oC flows through a long elliptical duct 30 cm wide and 22 cm high. What average velocity, in m/s, would cause the weight flow to

Question

Water at 20oC flows through a long elliptical duct 30 cm wide and 22 cm high. What average velocity, in m/s, would cause the weight flow to be 500 lbf/s?

in progress 0
Vodka 4 years 2021-08-19T00:02:22+00:00 2 Answers 15 views 0

Answers ( )

  1. Sigrid
    0
    2021-08-19T00:03:41+00:00
    Reply

    Explanation:

    The given data is as follows.

       Fluid is water so, density \rho = 1000 kg/m^{3}

      Weight flow rate = 500 lbf/s = 2224.11 N/sec

      Cross-sectional area (A) = \pi \times \frac{30}{2} \times \frac{22}{2}

                                             = 0.05184 m^{2}

    Hence, weight flow rate will be given as follows.

            w = \rho \times g \times A \times V

        2224.11 N/sec = \rho \times g \times A \times V

            V = \frac{2224.11}{1000 \times 9.81 \times 0.05184} m/s

                = 4.373 m/s

    Thus, we can conclude that average velocity in the given case is 4.373 m/s.

  2. Orla
    0
    2021-08-19T00:04:18+00:00
    Reply

    Answer:

    Explanation:

    length of major axis, 2a = 30 cm

    a = 15 cm = 0.15 m

    length of minor axis, 2b = 22 cm

    b = 11 cm = 0.11 m

    Weight flow, mg = 500 lbf/s = 2224.1 N/s

    Area of duct, A = π ab = 3.14 x 0.15 x 0.11 = 0.0518 m²

    Let v be the velocity

    Volume per second = mass per second / density

    Area x velocity = mass per second / density

    0.0518 x v = 2224.1 / (9.8 x 1000)

    v = 4.4 m/s

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )