Answer Happy

Q5.1 For the following transducer descriptions, what are the values of the simple gain and the units of the gain? (a) a flow meter: for every litre of liquid that flows it records a change of 2 V (b) a pressure transducer: for every 0.75 bar change it records a change of 1 mA (c) a temperature transducer: for every +2 °C change in temperature, the output changes by 80 μV Q5.2 What is the Laplace transform of the following differential equations? dy (a) 4 + 3y(t) = 10q(t) y(t) is output, q(t) is input, y(0) = 0 dt dm (b) 6- + m(t) = 2p(t) m(t) is output, p(t) is input, m(0) = 3 dt dy (c) T- - + y(t) = Ku(t) dt y(t) is output, u(t) is input, y(0) = yo Q5.3 The following two differential equations represent second-order equations of motion in linear and rotational forms. What is the Laplace transform of the differential equations? Note the similarities in the general equations. d²y dy (a) M + B + Ky(t) = Kf(t) dt² dt y(t) is output position, f(t) is input force, y(0) = 0, y(0) = 0. d²0 de (b) J dt² dt + B + K₂0 (t) = KT(t) e(t) is output angular position, T(t) is input torque, 8(0) = 0, 0(0) = 2 rad / s.