Question

P1: A temperature measuring system is exited by a 0.25 Hz harmonically varying input. If the time constant of the system is 4.0s and the indicated amplitude is 10 degrees celcius, what is the true temperature?

P2: A thermocouple with a time constant of 0.05s is considered to behave as a first order system, over what frequency range can the thermocouple measure dynamic temperature fluctuation (which is harmonic) with an error less than 5%?

P3: A force transducer behaves as a second-order system. If the undamped natural frequency is 1800 Hz and its damping is 30% of the critical, (a) determine the error in the measured force for a harmonic input of 950 Hz. (b) What is the magnitude in the phase angle?

Answer 1

cuen 2. 2 ? (0.25) - 1.57 F uhe

2 he have given Pd 乃 1-005 b.75

damped nakqnal 1:equencyís l800//ל ス C4itical dam ping percentage is 30% fn, ampli tu de tatio - i Ps. Catoiation end.in nu atuned face,乎 a harmonic iput kequene Len racks

Subrhtut -1 7S0 1800 -1 (1-0.2785) (0-3166)し (0-5205+ 0-1002) 0.7878 - 1.265- 02693 0-2693·x100 ニ 26.93 二 with dan、pira (va tio 0.3 is 27%