By Samuel Seely
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46) b. The Rotational Spring Element. A rotational spring is one which will twist under the action of a torque. It is depicted in schematic form in Fig. 1-34, and is described by the pair of equations, 36 Modeling of System Elements 0 I F + Fig. 1-33. Schematic representation of rotational inertia. Fig. 1-34. Schematic representation of the rotational spring. This relationship assumes a linear spring. For a nonlinear 0, ST relation, much of the discussion in Section 1-13 would be applicable here, with the appropriate changes in the basic variables.
Active Networks 51 To determine analytically the a-factors in these equations is a complicated problem in most cases, owing to the energy conversion principles that are involved in such devices. Moreover, the theoretical demands are beyond those expected of the present readers, and so this aspect of the transducer will not be pursued here. However, certain features of the transducer are possible from a study of Eqs. (1-79). Thus, it follows directly from Eqs. (1-79) that the ^-factors may be specified in terms of measure ments made at the ports.
1-13. The damping factor of a linear bilateral damper is D = 20 Newton-sec/m. 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.