Physics-Water flowing through a pipe

Question

Water flowing through a 2.2-cm-diameter pipe can fill a 300 L bathtub in 3.3 min.

What is the speed of the water in the pipe?

Answer 1

To find the speed of water flowing through the pipe, we need to use the flow rate equation Q = A*v

Where Q is the volume flow rate of the water, A is the cross sectional area of the pipe, and v is the speed of the water.

So first we can find the area by using πr². A = π * (0.011 meters)² = 3.8 *10^-4 meters squared.

The volume flow rate can also be defined as Q = V/t where V is the volume and t is the time elapsed.

So Q = (300L * 0.001 m³/L) / (3.3 min * 60s/min ) = 0.3/198 m³/s.

Finally v = Q/A so (0.3/198) / (3.8*10^-4) = 2.96 m/s