Unfiltered olive oil must flow at a minimum speed of 3.0 m/s to prevent settling of debris in a pipe. The oil leaves a pump at a pressure of 88 kPa through a pipe of radius 9.5 mm. It then enters a horizontal pipe at atmospheric pressure. Ignore the effects of viscosity. (a) What is the speed of the oil as it leaves the pump if it flows at 3.0 m/s in the horizontal pipe? (b) What is the radius of the

Water with a density of 1 x 103 kg/m³ flows through a horizontal pipe. The pipe cross-section tapers from 0.0080 m² to 0.0040 m² at a reducer. The static pressure before the reducer is 4 x 105 Pa and the flow velocity is 2 m/s. The flow is incompressible and frictionless. What pressure is measured after the reducer?

Water is flowing through a 10-cm-diameter water pipe at a rate of 0.1 m3/s. Now a diffuser with an outlet diameter of 20 cm is bolted to the pipe in order to slow down water. Disregarding frictional effects, determine the force exerted on the bolts due to the water flow.

In the calculation of pressures in fire hoses, it is often necessary to take into account the frictional losses suffered by the water as it flows along the hose. Consider a horizontal hose of diameter equal to 3.81 cm and length equal to 30 m carrying 394 liters/min of water. According to the tables used by firefighters, a pressure of 6.1 atm at the upstream end of this hose will result in a pressure of only 2.72 atm at the downstream end; the loss of 3.38 atm is attributed to friction. At what rate in does friction remove energy from the water?

Water is flowing into a factory in a horizontal cylindrical pipe with a radius of 0.0193 m at ground level.This pipe is then connected to another horizontal cylindrical pipe with a radius of 0.0360 m on a floor of the factory that is h = 12.6 m higher.The connection is made with a vertical section of pipe and an expansion joint.Determine the volume flow rate that will keep the pressure in the two horizontal pipes the same. m3/s

Water is flowing in the pipe shown in the figure below, with the 8.10-cm diameter at point 1 tapering to 3.05 cm at point 2, located y = 11.0 cm below point 1. The water pressure at point 1 is 3.20 x 104 Pa and decreases by 50% at point 2. Assume steady, ideal flow. What is the speed of the water at the following points? (a) point 1 (b) point 2 m/s m/s

A level (horizontal) pipe contains a non-viscous, incompressible fluid with a density 1200 kg/m3 that is flowing steadily. At one position within the pipe, the pressure is 300 x 103 N/m2 and the speed of the flow is 20.0 m/s. At another position, the pressure is 200 x 103 N/m2. What is the speed of the flow at this second position?

With its swim bladder deflated, a 9.5 kg yellowfin tuna has a density of 1050 kg/m3. It is swimming near the surface of the ocean. What volume of gas must the fish have in its swim bladder to achieve neutral buoyancy?

Suppose you spray your sister with water from a garden hose. The water is supplied to the hose at a rate of 0.573 × 10–3 m³/s and the diameter of the nozzle you hold is 5.09 × 10-3 m. At what speed v does the water exit the nozzle?

A popular pool toy allows the user to push a plunger to compress water in a barrel with a diameter of 3.5 cm. The water is compressed with a speed of 1.9 m/s and emerges from a small opening with a speed of 12 m/s. What is the diameter (in mm) of the opening? Assume the toy is oriented horizontally. mm