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An ideal fluid is moving at 3.0 m/s in a section of a pipe of radius 0.20 m. If the radius in another section is 0.35 m, what is the flow speed there

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asuwafohjames

The flow speed of the fluid in the second section of the pipe is 0.98 m/s

What is flow speed?

Flow speed is the rate at which the distance of a fluid changes with respect to time as it moves in a pipe.

To calculate the flow speed in the second section, we use the formula below.

Formula:

  • AV = A'V'............ Equation 1

Where:

  • A = Cross-sectional area of the first  section of the pipe
  • V = Velocity of fluid in the first  section of the pipe
  • A' = cross-sectional area in the second  section of the pipe
  • V' = Velocity of fluid in the second section of the pipe.

Make V' the subject of the equation

  • V' = AV/A'......... Equation 2

From the question,

Given:

  • A = πR² = 0.04π m²
  • V = 3 m/s
  • A' = πr² = (0.35²×π) = 0.1225π m²

Substitute these values into equation 2

  • V' = 3(0.04π)/(0.1225π)
  • V' = 0.98 m/s

Hence, The flow speed of the fluid in the second section of the pipe is 0.98 m/s

Learn more about flow speed here: https://brainly.com/question/21630019

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