Air with a density of $1.20 \mathrm{~kg} / \mathrm{m}^{3}$ flows through a $75.0 \mathrm{~cm}$ diameter pipe with a velocity of $2.00 \mathrm{~m} / \mathrm{s}$. What is the mass flow rate?
A) $1.06 \mathrm{~kg} / \mathrm{s}$
B) $1.20 \mathrm{~kg} / \mathrm{s}$
C) $1.48 \mathrm{~kg} / \mathrm{s}$
D) $1.26 \mathrm{~kg} / \mathrm{s}$
E) $0.95 \mathrm{~kg} / \mathrm{s}$

Question

Quizplus · Accepted Answer

The mass flow rate ($\dot{m}$) can be calculated using the formula $\dot{m} = \rho A v$, where $\rho$ is the density of the air ($1.20 \mathrm{~kg} / \mathrm{m}^{3}$), $A$ is the cross-sectional area of the pipe, and $v$ is the velocity of the air ($2.00 \mathrm{~m} / \mathrm{s}$). The diameter of the pipe is $75.0 \mathrm{~cm}$ or $0.75 \mathrm{~m}$, so the area $A = \pi (0.75/2)^2 \mathrm{~m}^{2}$. Substituting these values into the formula gives a mass flow rate of approximately $1.06 \mathrm{~kg} / \mathrm{s}$.

Air with a Density Of 1.20 kg/m31.20 \mathrm{~kg} / \mathrm{m}^{3}1.20 kg/m3 Flows Through A

Air with a Density Of $1.20 \mathrm{~kg} / \mathrm{m}^{3}$ Flows Through A