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Mechanical Engineering Questions and Answers January 23, 2020

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For a second order instrument with sensitivity of 0.35 V(ms2), ao 10.5 F, ai 1 Q and az 3 3D 0.2143 H, estimate the natural frequency, damping coefficient, and ringing frequency of the instrument. Plot the input and output signals for an input signal of F(t) (4.4 ms) U(t). Determine the 90 rise time and settling time from the plot. Label the

For the second order instrument in problem 4, find M(m) and o (m) for the components of the input signal F(t) 4 sin(2m(0.223)t) sin(27(1)t) 0.5 sin(2a(1.87)t). What is the resonance frequency of this instrument Plot M(o) and o (m) vs. log(m o,) on two separate plots. Include M() and o (0) points for F(t) on the appropriate plot. List each

This question is concerned with the energy required to inflate the lung. Specifically, we wish to know what fraction of the total inflation energy is used to overcome alveolar surface tension forces, and what fraction is used to overcome parenchymal elasticity. (a) How much energy is required to inflate a spherical bubble from radius R1 to radius

A transducer that behaves as a secondorder instrument has a damping ratio of 0.7 and a natural frequency of 1000 Hz. It is to be used to measure a signal containing frequencies as large as 750 Hz. If a dynamic error of 10 can be tolerated, show whether or not this transducer is a good choice.

A straingauge measurement system is mounted on an airplane wing to measure wing oscillation and strain during wind gusts. The strain system has a 90 rise time of 100 ms, a ringing frequency of 1200 Hz, and a damping ratio of 0.8. Estimate the dynamic error in measuring a 1Hz oscillation. Also, estimate any time lag. Explain in words the meaning of

An instrument having a resonance frequency of 1414 rads with a damping ratio of 0.5 is used to measure a signal of 6000 Hz. Estimate the expected dynamic error and phase shift.

Consider 5kg of Helium initially at 30C, occupies 170 liters. A state change to 75C causes an entropy increase of 5.2 kJ/K. Determine a) final volume; b) the final pressure

An insulated rigid container holds helium at 150 kPa and 30C. If 250 KJ/kg of paddle work is introduced to the system, Determine a) the final temperature: b) the final pressure, c) the entropy change

40 kg of air at 345 kPa is contained in a rigid vessel at a temperature of 20'C. heat is then added until the temperature reaches 320C. Determine a) final pressure; b) the work done; c) the heat.40 kg of air at 345 kPa is contained in a rigid vessel at a temperature of 20'C. heat is then added until the temperature reaches 320C. Determine a) final

An ideal gas with a molecular mass of 36 is heated at constant volume from 250C to 485C. If the change in internal energy is found to be 180 kJ/kg. Determine a) the change in enthalpy. b) the change in entropy.

An unknown ideal gas mixture is cooled at constant pressure from 300C to 80C. Assuming R-0.524 kJ/kg.K and k - 1.39, Find a) the change in entropy for 2.3 moles of this gas; b) the final to initial volume ratio of this gas.

The rigid bar AD is supported as shown by pin A and two steel wires (E, 30 x 10 psi) at B and C. A downward load P 580 lb is applied at D and the cross sectional area of each wire is 0.03 in. Determine (a) the normal stresses in the two wires, (b) the corresponding deflection of point D. ,8 in. 10 in. D. 12 in. 12 in.12 in. 12

A downward load P 36 kN is applied to the tip D of the horizontal rigid bar AD that is pinned at support A and connected to two vertical links BF and CE as shown. Both links are made of aluminum (E 75 GPa) with a 12 x 20 mm rectangular cross section. Determine (a) the normal stress in link BF and (b) the displacement of point D. ,600 mm 160 mm

The brass shell (as 20.9 x 10C) is fully bonded as shown to the steel core (a, 11.7 x 10C). Determine the largest allowable increase in temperature AT if the allowable normal stress in the steel core is 55 MPa. 5 mm 20 mm 20 mm 5 mm 5 mm Steel core E 200 GPa Brass shell 250 mm E 105 GPa

An ideal gas with a macular mass of 45 is heated at constant pressure from 135C to 420'C. If the enthalpy change is 320k/kg, Determine, a) the change in internal energy b) the change in entropy.

145 kg/min of a gas R = 0.3 kJ/kg.K expands isothermally from 3.4 m/kg to 1428 m/kg, and 100 kPaa. Find the heat and work for a) a non-flow process b) a steady flow process with v. - 10 m/s and v, -50 m/s, AP = 0.

35 m 2 /min of air flows steadily through a compressor. It undergoes an isentropic change from 32"C and 0.85 bar to 1.7 bar. The measured change in kinetic energy is 2.5 kJ/kg. Neglect changes in potential energy and determine a) The change in internal energy, b) The compressor power requirement.