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?

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

According to the question,

Volume,

           =

Time,

          =

          =

Diameter,

           = 0.016 m

As we know,

Area of cross-section of pipe will be:

→

Flow rate is:

→

Thus the above approach is right.          

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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