tha motor pumps water from a well 10 m deep and projects it at a speed of 15 meters per second.the water pause ftom the pipe at a rate of 12

Question

tha motor pumps water from a well 10 m deep and projects it at a speed of 15 meters per second.the water pause ftom the pipe at a rate of 1200 kg per minute calculate the power of the motor ​

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Hải Đăng 3 years 2021-07-31T05:11:53+00:00 1 Answers 39 views 0

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  1. MichaelMet
    0
    2021-07-31T05:13:29+00:00
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    Answer:

    4210 W

    Explanation:

    We’ll begin by calculating the energy required in lifting the water from the depth. This can be obtained as follow:

    Mass (m) = 1200 Kg

    Height (h) = 10 m

    Acceleration due to gravity (g) = 9.8 m/s²

    Energy (E₁) =?

    E₁ = mgh

    E₁ = 1200 × 9.8 × 10

    E₁ = 117600 J

    Next, we shall determine the energy required to project the water at 15 m/s. This can be obtained as follow:

    Mass (m) = 1200 Kg

    Velocity (v) = 15 m/s

    Energy (E₂) =?

    E₂ = ½mv²

    E₂ = ½ × 1200 × 15²

    E₂ = 600 × 225

    E₂ = 135000 J

    Finally, we shall determine the power of the motor. This can be obtained as follow:

    Total energy (E) = E₁ + E₂

    = 117600 + 135000

    = 252600 J

    Time (t) = 1 min = 60 s

    Power (P) =?

    P = E/t

    P = 252600 / 60

    P = 4210 W

    Therefore, the power of the motor is 4210 W.

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