One end of a cylindrical pipe has a radius of 1.5 cm.Water (density = 1.0 x 10³ kg/m³)streams steadily out at 7.0 m/s.The rate at which mass is leaving the pipe is: A)2.5 kg/s B)4.9 kg/s C)7.0 kg/s D)48 kg/s E)7.0 x10³ kg/s

Question

Quizplus · Accepted Answer

We can use the equation for mass flow rate, which is given by:
mass flow rate = density x area x velocity
The radius of the pipe is 1.5 cm, or 0.015 m. Therefore, the area of the end of the pipe is:
area = πr^2 = π(0.015)^2 = 0.00071 m^2
Substituting the given values into the mass flow rate equation, we get:
mass flow rate = 1.0 x 0.00071 x 7.0 = 0.00497 kg/s
Rounding to two significant figures, we get:
mass flow rate = 4.9 kg/s
Therefore, the answer is B.

One End of a Cylindrical Pipe Has a Radius of 1.5