At what speed should air flow through a 50 cm^2 heating duct so the air in a 200

Question

At what speed should air flow through a 50 cm^2 heating duct so the air in a 200 m^3 room can be replenished every 12 minutes. Assume the air's density remains constant. 4 m/s 56 m/s 600 m/s 1228 m/s 2400 m/s A 5cm diameter cylinder is obstructing the flow of water inside a 25cm diameter horizontal water pipe. If the velocity of the water is 2.5 m/s as it moves over the obstruction and 2.4 m/s before the obstruction what is the pressure difference (P2-P1): 0 Pa 245 Pa 50 Pa -245 Pa -50 Pa Water leaks from a hole in a water tank which is a distance "h" meters below the surface of the water which is H meters docp. The velocity of the water just leaving the hole is: Show work for full credit 2gh g/h squarerootgh/2 squareroot3gh squareroot2gh When a family of four with a total mass of G50 kg step into their 1200-kg car, the car's springs compress 1.3 cm. What is the spring constant of the car's springs in N/m, assuming they act as a single spring? 12 times l0^2 50 times 10^3 49 times 10^4 90 times 10^4 14 times 10^5

Explanation / Answer

6) B) 56 m/s

given

A = 50 cm^2 = 50*10^-4 m^2

volume flow rate = A*v

time taken to empty, t = V/A*v

v = V/(A*t)

= 200/(50*10^-4*12*60)

= 56 m/s

7) B) 245 pa

P2 - P1 = 0.5*rho*(v1^2 - v2^2)

= 0.5*1000*(2.5^2 - 2.4^2)

= 245 pa

8) E) sqrt(2*g*h)

9) E) 14*10^5 N/m

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