Water flows through a tube shown in figure (13-E8). The areas of cross section at A and B are 1 cm² and 0.5 cm² respectively. The height difference between A and B is 5 Cm. If the speed of water at A is 10 cm s^-1, find (a) the speed at B and (b) the difference in pressures at A and B.

Question

Philoid · Accepted Answer

The height from B to A is .

area of cross-section of tube A,

area of cross-section of tube B,

speed of water at A, . Let the speed at B be .

(a)From equation of continuity,

(b) From the equation of continuity,

Let the pressure at A and B be and .

From Bernoulli’s equation

Water flows through a tube shown in figure (13-E8). The areas of cross section at A and B are 1 cm2 and 0.5 cm2 respectively. The height difference between A and B is 5 Cm. If the speed of water at A is 10 cm s-1, find (a) the speed at B and (b) the difference in pressures at A and B.