I am given a problem about a booster fan in a circular duct with a diameter of 30cm. The work done on the system by the fan is 80 W, causing an increase of pressure on the outlet side of the fan of 70 Pa. All other work and energy is negligible. How do I find the maximum velocity of the air in the duct?

Q: A garden hose attached with a nozzle is used to fill a 10 liter bucket. The inner diameter of the…

A: Here,Volume flow rate,V= 10 litre50 s=0.2 l/s=(0.2×0.0353)ft3/s=0.00706 ft3/sNow,Mass flow…

Q: o be pump from a reservoir with a temperature of 32oC at sea level. Friction loss at suction is 0.3…

A: pressure @sea level = 101.3 KPa  Psat = 4.798 kPa  datum difference = 2.45 friction loss = 0.3 m

Q: Inside of a room, the atmospheric pressure measures out to be 100 kPa. A pipe with a diameter of 0.5…

A:

Q: An oil pump is drawing 25 kW of electric power while pumping oil with ρ = 860 kg/m3 at a rate of 0.1…

A: Given Data: Inlet and outlet areas of the cross-section of pipe to the pump can be calculated as,

Q: Consider an underground water source whose free surface is 60 m below ground level. The water is to…

A: For solution refer below images.

Q: garden hose attached with a nozzle is used to fill a 40-liter bucket. The inner diameter of the hose…

A: Given Data The volume of the bucket is: V=40 L The inner diameter of the hose is: d=2 cm=0.02 m The…

Q: The ventilating fan of the bathroom of a building has a volume flow rate of 30 L/s and runs…

A: Given data: Density of air ρ = 1.2 kg/m3 Volume flow rate = V = 30 L/s

Q: The horizontal pump in Fig. P3.178 discharges 20 ° C waterat 57 m 3 /h. Neglecting losses, what…

A: Given: The volumetric flow rate, Q = 57 m3/h The diameter of pipe 1, d1 = 9 cm The diameter of the…

Q: Water is pumped from a lake to a storage tank 18 m above at a rate of 70 L/s while consuming 20.4 kW…

A:

Q: A reciprocating compressor draws in 500 ft/min of air whose density is 0.079 Ibm/t° and discharges…

A: Given data: v=500 ft3/min=39.5 lb/minρ1=0.079 lbm/ft3ρ2=0.304 lbm/ft3p1=15 psiap2=80 psia∆u=33.8…

Q: A tube is used to fill a tank of volume 37.854 L. (1L = 0.001m3). The diameter of the tube is 2 cm,…

A:

Q: Q1:A pump is to increase the pressure of 200 L /s of water by 4 MPa. The water enters through a…

A:

Q: Water is pumped from a lower reservoir to a higher reservoir by a pump that provides 20 kW of shaft…

A:

Q: An oil pump is drawing 35kW of electric power while pumping oil with p = 860 kg/m³ at a rate of 0.1…

A: Given data:    The power supplied to the motor, P = 35 kW                                 The…

Q: A fluid, contained in a horizontal cylinder fitted with a frictionless leak proof piston, is…

A: Given data: The diameter of the cylinder is D = 0.40 m. The time of the stirring process is t = 10…

Q: A fan is powered by a 0.5-hp motor and delivers air at a rate of 85 m3 /min. Determine the highest…

A: Given data : Since the mass crosses the system boundary, consider the motor and fan assembly, and…

Q: An oil pump is drawing 44 kW of electric power while pumping oil with p= 860 kg/m3 at a rate of 0.1…

A:

Q: 3. The power requirement of a fan in kW in order to supply air at a rate of 500m3/h at a total…

A:

Q: at a certain location, wind is blowing steadily at 10 m/s. determine the mechanical energy of air…

A:

Q: Consider a device with one inlet and one outlet. If the volume flow rates at the inlet and at the…

A: As the system has only one inlet and outlet and the volume flow rates are considered to be same the…

Q: The power available in a jet having a cross-sectional area of 0.005 m2 with a velocity of 25.8 m/s

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Q: a compressor draws in 0.25m^3/s of air whose density is 1.26kg/m^3 and discharges it with a density…

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Q: 2. Electric power is to be generated in a hydroelectric power plant that receives water at a rate of…

A: Since the question containes multiple questions. I am answering one question only so, for remaining…

Q: A garden hose attached with a nozzle is used to fill a 40-L bucket. The inner diameter of the hose…

A: Given Data:Inner diameter=2cmreduces to 0.8cmHose take ti fill =50secTo determine;a) volume flow…

Q: Determine the maximum available work [kJ/kg] that could be obtained from a power plant using water…

A:

Q: Water is pumped from a lower reservoir to a higher reservoir by a pump that provides 20 kW of shaft…

A: Step-1 Given: The power of the shaft is P=20 kW. The difference in the height of the reservoir is…

Q: hp compressor in a facility that-75 operates at full load for 2500 h a year is powered by an…

A: Given data: motor efficiency = 93% = 0.93 No. of operating hours = 2500 h Motor power = 75 Hp Unit…

Q: Q4: Determine the maximum height increase provided by a 7.46 KW pump with a 6-cm-diameter inlet and…

A: Given data:- Power rating of pump, P=7.46 kW Diameter at inlet, d1=6 cm Velocity at inlet, V1=10…

Q: A garden hose attached with a nozzle is used to fill a 40-L bucket. The inner diameter of the hose…

A:

Q: (a) A garden hose attached with a nozzle is used to fill a 20-gallon bucket. The inner diameter of…

A:

Q: 2. An air compressor handles 8.5 m3/min of air with a density of 1.26 kg/m3 and a pressure of 1 atm,…

A:

Q: The water level required in a tank to obtain velocity of 10 m/s at bottom is

A: Given data,  Velocity = 10 m/s

Q: The ventilating fan of the bathroom of a building has a volume flow rate of 50 L/s and runs…

A: Given: The density of the air is ρ=1.20 kg/m3. The volume flow rate of the air Q=50 L/s. The time…

Q: The drinking water needs of an office are met by large water bottles.  One end of a 0.6-cm diameter…

A: Solution: d = 0.6 cm

Q: Consider a wind turbine that is situated in an area that has steady winds. The turbine rotates at 16…

A:

Q: The driving force for fluid flow is the pressure difference, and a pump operates by raising the…

A: As per given data, del P = 5 kpa, power input = 7 kw. maximum volume flow rate Q (m^3/s) = ? for…

Q: 4. At a certain location, wind is blowing steadily at 10 m/s. Determine the mechanical energy of air…

A:

Q: At a certain location, wind is blowing steadily at 10 m/s. Determine the mechanical energy of air…

A: Given data: Velocity of wind, v = 10 m/s. The diameter of the wind turbine, d = 70 m. The overall…

Q: A reciprocating compressor draws in 500 cubic feet per minute of air whose density is 0.079 Ib/ft^3…

A:

Q: A garden hose attached with a nozzle is used to fill a 20-gal bucket. The inner diameter of the hose…

A:

Q: At a certain location, wind is blowing steadily at 10 m/s. Determine the mechanical energy of air…

A:

Q: A garden hose attached with a nozzle is used to fill a 20-gal bucket. The inner diameter of the hose…

A: Given data: The volume of the bucket, V = 20 gal. The inner diameter of the hose, D1 = 1 in. Outer…

Q: An oil-transfer pump uses 1 kW of power in transferring 5 kg/s of oil through a 3-cm-diameter pipe.…

A:

Q: Consider a wind turbine that is situated in an area that has steady winds. The turbine rotates at 16…

A: GIVEN Number of rotation of turbine N=16RPM Mass flow rate through turbine m=41025kg/s Tip velocity…

Q: A D0 = 10-m-diameter tank is initially filled with water 2 m above the center of a D =…

A: Given, The diameter of the tank, D0=10 m The diameter of the valve, D=10 cm=0.1 m The length of the…

Q: Refrigerant R-134a enters a 30cm diameter pipe (circular cross-section) at an absolute pressure of…

A: Given data:The diameter of the pipe, d = 30 cm.The absolute pressure at inlet, P1 = 200 kPa.The…

Q: An air compressor handles 8.5 m3/min of air with a density of 1.26 kg/m3 and a pressure of 1 atm,…

A:

Q: determine the amount of electric energy and the revenue generated per day for a unit price of RM0.40…

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Q: In a steady flow apparatus, 135 KJ of work is done by each kg of fluid. The specific volume of the…

A:

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.