Ask Question
23 March, 18:49

Water is moving with a speed of 5.7 m/s through a pipe with a cross-sectional area of 4.8 cm2. The water gradually descends 9.2 m as the pipe increases to 8.8 cm2. (a) What is the speed at the lower level? (b) If the pressure at the upper level is 1.6 * 105 Pa, what is the pressure at the lower level?

+4
Answers (1)
  1. 23 March, 19:15
    0
    speed of water lower is 3.11 m/s

    pressure at the upper level is 261660.95 Pa

    Explanation:

    Given data

    speed = 5.7 m/s

    cross-sectional area = 4.8 cm2

    water gradually descends = 9.2 m

    pipe increases = 8.8 cm2

    to find out

    speed at the lower level and pressure at the upper level

    solution

    we will apply here continuity equation i. e

    area of pipe top * speed of water top = area of pipe lower * speed of water lower

    so speed of water lower = area of pipe top * speed of water top / area of pipe lower

    put all value

    speed of water lower = 4.8 * 5.7 / 8.8

    speed of water lower is 3.11 m/s

    in 2nd part we apply bernoulli equation that is

    P1 + 1/2 ρ v1² + ρgh1 = P2 + 1/2 ρ v2² + ρgh2

    here we know h1 and h2 is initial and final height and ρ is water density

    so we calculate p2 here i. e

    p2 = P1 + 1/2 ρ (v1² - v2²) + ρg (h1-h2)

    put all value we get p2

    p2 = 1.6 * 10^5 + 1/2 (1000) (5.7² - 3.11²) + 1000 (9.81) (9.2)

    p2 = 261660.95 Pa

    pressure at the upper level is 261660.95 Pa
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Water is moving with a speed of 5.7 m/s through a pipe with a cross-sectional area of 4.8 cm2. The water gradually descends 9.2 m as the ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers