Question

Two hoses are connected to the same outlet using a Y-connector, as the drawing shows. The hoses A and B have the same length, but hose B has the larger radius. Each is open to the atmosphere at the end where the water exits. Water flows through both hoses as a viscous fluid, and Poiseuille's law Q = πR4(P2 − P1) 8ηL applies to each. In this law, P2 is the pressure upstream, P1 is the pressure downstream, and Q is the volume flow rate. The ratio of the radius of hose B to the radius of hose A is RB/RA = 1.40. Find the ratio of the speed of the water in hose B to the speed in hose A. vB vA = Incorrect: Your answer is incorrect.

Answer 1