An Introduction to Engineering Systems by Samuel Seely

By Samuel Seely

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Two windings are closely wound on a toroid that has a mean circumference of 10 inches with a coil radius of 1 inch. There are 1,000 turns per layer. a. Calculate the inductance of each winding when the core is of nonmagnetic material. b. If the relative permeability of the core is /jir = 1,400, what is the inductance? c. Find the mutual inductance between the two windings under the conditions in b. d. What is the total inductance of the toroidal coil, if the windings are con­ nected series-aiding; series opposing?

P\^V—zr (1-62) 44 Modeling of System Elements Pi nr p2 Fig. 1-42. Fluid (gas) resistance and capacitance. The turbulent gas flow resistance is defined as, R= (sec/m2) %' (1-63) It is not possible to easily calculate R from Eq. (1-63) because the expan­ sion factor Y depends on the pressure. In this case it is easier to determine resistance from a plot of pressure against flow for any particular device. For laminar gasflowthrough tubes and pipes, Eq. (1-56) can be used. To discuss the capacitance of a pressure vessel, we first write a flow law for the pressure vessel of Fig.

A sinusoidal velocity with a peak amplitude of 20 m/sec and with a period of 1 sec is applied. Calculate the average energy dissipated during one complete period of the applied velocity wave. 1-14. Calculate the laminar resistance of 100 feet of TG I D tubing for air and water at 68 degF. 002. 1-15. Water flow through a triangular weir is given by the equation, Q = CPV2£tf. Find an expression for the effective resistance of the weir. 1-16. The flow versus differential head for a 1-in. orifice is given in the figure.

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