1. The windows in an office building are 4.26 m by 5.26 m. On a stormy day, air

Question

1. The windows in an office building are 4.26 m by 5.26 m. On a stormy day, air is blowing at 53.0 m/s past a window on the 53rd floor. Find the magnitude and direction of the net force on the window. The density of air at that height is 1.23 kg/m3.

2.A sniper fires a rifle bullet into a gasoline tank, making a hole 53.0 m below the surface of the gasoline. The tank was sealed and the absolute pressure at the surface of the gasoline is 3.1 atm. The stored gasoline has a density of 660.0 kg/m3. At what speed v does the gasoline begin to shoot out of the hole? Assume the pressure outside the tank is 1 atm

3.A square plate with edge length 9.10 cm and mass 488 g is hinged along one side. If air is blown over the upper surface only, what speed must the air have to hold the plate horizontally. Assume the air density to be 1.21 kg/m3

Explanation / Answer

Given that the Area of the windows i A = 4.26 m * 5.26 m                                                               = 22.4 m^2 speed of the air is blowing at v = 53.0 m/s density of air is = 1.23 kg / m^3 change in pressure is 1 /2 v^2                               dP = 1/2 * 1.23 kg / m^3 ( 53.0 m/s)^2                                     = 1.72 *10^3 N /m^2       Net force F   = dP / A                            = 1.72 *10^3 N /m^2 / 22.4 m^2                           = 77.1 N Please post the remaining questions as seperate.

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