A large water tank springs a leak in its side whcih is 10 m above the ground. Th

Question

A large water tank springs a leak in its side whcih is 10 m above the ground. The spraying water hits the ground a distance 12 m from a point directly underneath the leak.

Part A

What is the velocity of the water as it leaves the hole in the tank's side?

Express your answer using three significant figures.

Part B

How far above the leak is the water level in the tank?

Part C

If the hole in the tank's side is 2 cm in diameter, what is the rate at which water is being lost in the water tank in liters/s?

Explanation / Answer

a)

V = sqrt( 2gh) = sqrt(2*10*9.8 ) = 14 m/s

b)

time of flight = 12/14 = 0.8571 s

height = 0.5*9.8 * 0.8571^2 = 3.6 m

height = 3.6 m

C)

Volume rate = 14 * 3.141 * 0.01^2 = 4.397*10^-3 m^3/s

Volume rate = 4.397 litre/s

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