Question

Water flowing through a 1.6-cm-diameter pipe can fill a 500 L bathtub in 6.5 min.What is the speed of the water in the pipe?

Answer 1

Answer:

v = 6.38 m/s

Explanation:

discharge Q = 500 L / 6.5 min

flow through pipe is 1.6 cm x (1 m/100 cm ) = 0.016 m

using the flow rate formula Q = A * v

where A = area, v = velocity

the speed of water in the pipe = v = Q / A

      500 L        1 m³          1 min           π (0.016 m)²

v = ----------   x  --------  x ------------    ÷  --------------------

      6.5 min       10³ L       60 sec                 4

v = 6.38 m/s

Answer 2

The speed of the water is "12.95 m/s".

According to the question,

Volume,

• V = 500 L

           = $500\times 10^{-3} \ m^3$

Time,

• t = 3.2 min

          = $3.2\times 60$

          = $192 \ s$

Diameter,

• d = 1.6 cm

           = 0.016 m

As we know,

Area of cross-section of pipe will be:

→ $A = \pi (\frac{d}{2} )^2$

      $= 3.14\times (\frac{0.016}{2} )^2$

      $= 2.01\times 10^{-4} \ m^2$

Flow rate is:

→ $\frac{V}{t} = Av$

   $v = \frac{V}{At}$

      $= \frac{500\times 10^{-3}}{2.01\times 10^{-4}\times 192}$

      $= 12.95 \ m/s$

Thus the above approach is right.          

Learn more:

https://brainly.com/question/17205826