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Academics – Applied Mechanics : 2013/MAR/04
Question

Q4. A basic flapper/nozzle device is shown in Fig Q4. The pneumatic signal for the input bellows unit is proportional to the measured temperature within the range 0-100°C. The output signal range is to be 20-100 kN/m2. The characteristic of the input bellows is 10 μm/°C, and the characteristic of the nozzle is 0.2 kN/m2 per μm of flapper movement.

The gain of the device =  (% Change in output)/(% Change in input)

Calculate EACH of the following:

(a) The flapper movement at the nozzle for 100% input change;

(b) The resulting change in output;

(c) The gain of the device;

(d) The new setting of x, the distance from the pivot to the nozzle, to achieve a gain of 0.7;

(e) The output pressure at 90°C with a gain of 0.7 if the output pressure was 50 kN/m2 at a temperature of 80°C.

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