The blades of a windmill sweep out a circle of area A. If the wind flows at a velocity v perpendicular to the circle, what is the mass of the air passing through it in time t?

$1.<mspace\; width="1em"></mspace>\mathrm{\rho Avt}$
$2.<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>\frac{1}{2}\mathrm{\rho Avt}$
$3.<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>2<mspace\; width="1em"></mspace>\mathrm{\rho Avt}$
$4.<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>\frac{3}{2}<mspace\; width="1em"></mspace>\mathrm{\rho Avt}$

The cylindrical tube of a spray pump has a cross-section of \(8.0\) cm² one end of which has \(40\) fine holes each of diameter \(1.0\) mm. If the liquid flow inside the tube is \(1.5\) m-min^–1,  the speed of ejection of the liquid through the holes is:
1. \(0.64\) ms^-1
2. \(0.74\) ms^-1
3. \(0.54\) ms^-1
4. \(0.84\) ms^-1