FUNDAMENTALS OF FLUID MECHANICS
8th Edition
ISBN: 9781119571490
Author: GERHART
Publisher: WILEY
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Chapter 1.6, Problem 77P
To determine
The force required to pull the shaft
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motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine:
a) the minimum permissible diameter for aluminum shafts (1) and (2)
b) the minimum permissible diameter for steel shaft (3).
c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).
Chapter 1 Solutions
FUNDAMENTALS OF FLUID MECHANICS
Ch. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Verify the dimensions, in both the FLT system and...Ch. 1.2 - If u is a velocity, x a length, and t a time, what...Ch. 1.2 - Verify the dimensions, in both the FLT system and...Ch. 1.2 - If p is a pressure, V a velocity, and ρ a fluid...Ch. 1.2 - If P is a force and x a length, what are the...Ch. 1.2 - If V is a velocity, ℓ a length, and ν a fluid...
Ch. 1.2 - The momentum flux (discussed in Chapter 5) is...Ch. 1.2 - An equation for the frictional pressure loss Δ p...Ch. 1.2 - The volume rate of flow, Q, through a pipe...Ch. 1.2 - Show that each term in the following equation has...Ch. 1.2 - The pressure difference, Δp, across a partial...Ch. 1.2 - Assume that the speed of sound, c, in a fluid...Ch. 1.2 - A formula to estimate the volume rate of flow, Q,...Ch. 1.2 - A commercial advertisement shows a pearl falling...Ch. 1.2 - Express the following quantities in SI units: (a)...Ch. 1.2 - Express the following quantities in BG units: (a)...Ch. 1.2 - Express the following quantities in SI units: (a)...Ch. 1.2 - Water flows from a large drainage pipe at a rate...Ch. 1.2 - The universal gas constant R0 is equal to 49,700...Ch. 1.2 - Dimensionless combinations of quantities (commonly...Ch. 1.2 - An important dimensionless parameter in certain...Ch. 1.4 - Obtain a photograph/image of a situation in which...Ch. 1.4 - A tank contains 500 kg of a liquid whose specific...Ch. 1.4 - A stick of butter at 35 °F measures 1.25 in. ×...Ch. 1.4 - Clouds can weigh thousands of pounds due to their...Ch. 1.4 - A tank of oil has a mass of 25 slugs, (a)...Ch. 1.4 - A certain object weighs 300 N at the Earth’s...Ch. 1.4 - The density of a certain type of jet fuel is 775...Ch. 1.4 - At 4 °C a mixture of automobile antifreeze (50%...Ch. 1.4 - A hydrometer is used to measure the specific...Ch. 1.4 - An open, rigid-walled, cylindrical tank contains 4...Ch. 1.4 - Estimate the number of pounds of mercury it would...Ch. 1.4 - A mountain climber’s oxygen tank contains 1 lb of...Ch. 1.4 - The information on a can of pop indicates that the...Ch. 1.4 -
The variation in the density of water, ρ, with...Ch. 1.4 - If 1 cup of cream having a density of 1005 kg/m3...Ch. 1.4 - With the exception of the 410 bore, the gauge of a...Ch. 1.4 - The presence of raindrops in the air during a...Ch. 1.5 - A regulation basketball is initially flat and is...Ch. 1.5 - Nitrogen is compressed to a density of 4 kg/m3...Ch. 1.5 - The temperature and pressure at the surface of...Ch. 1.5 - A closed tank having a volume of 2 ft3 is filled...Ch. 1.5 - Assume that the air volume in a small automobile...Ch. 1.5 - A compressed air tank contains 5 kg of air at a...Ch. 1.5 - A rigid tank contains air at a pressure of 90 psia...Ch. 1.5 - The density of oxygen contained in a tank is 2.0...Ch. 1.5 - The helium-filled blimp shown in Fig. P1.52 is...Ch. 1.5 - Develop a computer program for calculating the...Ch. 1.6 - Obtain a photograph/image of a situation in which...Ch. 1.6 - For flowing water, what is the magnitude of the...Ch. 1.6 - Make use of the data in Appendix B to determine...Ch. 1.6 - One type of capillary-tube viscometer is shown in...Ch. 1.6 - The viscosity of a soft drink was determined by...Ch. 1.6 - The viscosity of a certain fluid is 5 × 10−4...Ch. 1.6 - The kinematic viscosity and specific gravity of a...Ch. 1.6 - A liquid has a specific weight of 59 lb/ft3 and a...Ch. 1.6 - The kinematic viscosity of oxygen at 20 °C and a...Ch. 1.6 - Fluids for which the shearing stress, τ, is not...Ch. 1.6 - Water flows near a flat surface and some...Ch. 1.6 - Calculate the Reynolds numbers for the flow of...Ch. 1.6 - Prob. 66PCh. 1.6 - For air at standard atmospheric pressure the...Ch. 1.6 - Use the values of viscosity of air given in Table...Ch. 1.6 - The viscosity of a fluid plays a very important...Ch. 1.6 - Prob. 70PCh. 1.6 - For a certain liquid μ = 7.1 × 10−5 lb • s/ft2 at...Ch. 1.6 - For a parallel plate arrangement of the type shown...Ch. 1.6 - Prob. 73PCh. 1.6 - Three large plates are separated by thin layers of...Ch. 1.6 - There are many fluids that exhibit non-Newtonian...Ch. 1.6 - The sled shown in Fig. P1.76 slides along on a...Ch. 1.6 - A 25-mm-diameter shaft is pulled through a...Ch. 1.6 - A hydraulic lift in a service station has a...Ch. 1.6 - A piston having a diameter of 5.48 in. and a...Ch. 1.6 - A 10-kg block slides down a smooth inclined...Ch. 1.6 - A layer of water flows down an inclined fixed...Ch. 1.6 - Oil (absolute viscosity = 0.0003 lb · s /ft2,...Ch. 1.6 - Standard air flows past a flat surface, and...Ch. 1.6 - A new computer drive is proposed to have a disc,...Ch. 1.6 - The space between two 6-in.-long concentric...Ch. 1.6 - Prob. 86PCh. 1.6 - The viscosity of liquids can be measured through...Ch. 1.6 - Prob. 88PCh. 1.6 - Prob. 89PCh. 1.6 - Prob. 90PCh. 1.6 - Some measurements on a blood sample at 37 °C (98.6...Ch. 1.7 - Obtain a photograph/image of a situation in which...Ch. 1.7 - A sound wave is observed to travel through a...Ch. 1.7 - Prob. 94PCh. 1.7 - Estimate the increase in pressure (in psi)...Ch. 1.7 - A 1-m3 volume of water is contained in a rigid...Ch. 1.7 - Determine the speed of sound at 20 °C in (a) air,...Ch. 1.7 - Prob. 98PCh. 1.7 - Prob. 99PCh. 1.7 - Prob. 100PCh. 1.7 - Prob. 101PCh. 1.7 - Prob. 102PCh. 1.7 - Oxygen at 30 °C and 300 kPa absolute pressure...Ch. 1.7 - Compare the isentropic bulk modulus of air at 101...Ch. 1.7 - Prob. 105PCh. 1.7 - Often the assumption is made that the flow of a...Ch. 1.7 - Prob. 107PCh. 1.7 - Prob. 108PCh. 1.7 - Prob. 109PCh. 1.7 - Prob. 110PCh. 1.8 - During a mountain climbing trip it is observed...Ch. 1.8 - Prob. 112PCh. 1.8 - A partially filled closed tank contains ethyl...Ch. 1.8 - Prob. 114PCh. 1.8 - When water at 70 °C flows through a converging...Ch. 1.8 - At what atmospheric pressure will water boil at 35...Ch. 1.9 - Obtain a photograph/image of a situation in which...Ch. 1.9 - When a 2-mm-diameter tube is inserted into a...Ch. 1.9 - A soda straw with an inside diameter of 0.125 in....Ch. 1.9 - Small droplets of carbon tetrachloride at 68 °F...Ch. 1.9 - A 12-mm-diameter jet of water discharges...Ch. 1.9 - A method used to determine the surface tension of...Ch. 1.9 - Calculate the pressure difference between the...Ch. 1.9 - As shown in Video V1.9, surface tension forces can...Ch. 1.9 - Prob. 125PCh. 1.9 - Under the right conditions, it is possible, due to...Ch. 1.9 - An open, clean glass tube, having a diameter of 3...Ch. 1.9 - Prob. 128PCh. 1.9 - Determine the height that water at 60 °F will rise...Ch. 1.9 - Two vertical, parallel, clean glass plates are...Ch. 1.9 - (See The Wide World of Fluids article titled...
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