Chapter 24, Problem 55P

Velocity data for air are collected at different radii from the centerline of a circular 16-cm-diameter pipe as tabulated below:

r, cm	0	1.60	3.20	4.80	6.40	7.47	7.87	7.95	8
v, m/s	10	9.69	9.30	8.77	7.95	6.79	5.57	4.89	0

Use numerical integration to determine the mass flow rate, which can be computed as

${\int }_0{}^r\rho v2\pi rdr$

where $\rho =\text{dencity}\left(=1.2{\text{kg/m}}^3\right)$. Express your results in kg/s.