Water travels through a tube as shown in the figure. The areas of cross section at A and B are 1 cm ^2 and 0.5 cm ^2 respectively. The height difference between A and B is 5 cm . If the water's speed at A is 10 cm s ⁻¹ , determine the speed at B .

Step-by-step solution

For the steady flow of an incompressible fluid, the equation of continuity is given by: A_A v_A = A_B v_B Given: A_A = 1 cm ^2 v_A = 10 cm s ⁻¹ A_B = 0.5 cm ^2 Substituting the values into the equation: 1 10 = 0.5 v_B v_B = 10 0.5 v_B = 20 cm s ⁻¹