Water is supplied to an office building 30.0 m high through a pipe at ground lev

Question

Water is supplied to an office building 30.0 m high through a pipe at ground level.

(a) Find the minimum pressure in the supply pipe so that water can reach the top floor of the building. (b) Suppose the pressure in the supply pipe is designed so that water can flow out through a much smaller pipe on the top floor at a speed of 5.00 m/s. Find the pressure in the larger pipe on the ground floor.

Explanation / Answer

(a) By P = h x d x g =>P = 30 x 1000 x 9.8 = 294000 Pa (b) To calculate the second part, you need either the diameter of the two pipes[so that by the rule of continuity i.e.Q = A1v1 = A2v2] or the velocity of the water at the ground level.So that by the use of Bernoulli's theorem you can calculate the Pressure in the pipe at ground level.

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