Water flows steadily through the venturi nozzle shown. The manometer contains oil with SG=0.6

a. If the manometer shows a 1.4 m difference in the oil levels, what is the pressure difference between locations 1 and 2? Be careful to include pressure changes due to the oil and water in the manometer.

b. Find the flow velocity at location 1 when the pipe diameter is d₁=3 cm and the venturi diameter is d₂=1.3 cm. Assume inviscid, irrotational flow from locations 1 to 2. In your discussion, compare this velocity to your values in Problem 5 of Homework 1.