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Academics – Applied Mechanics : 2016/APR/03
Question

Q2. A basic flapper/nozzle device is shown in Fig Q3 (not drawn to scale). The pnuematic signal for the input bellows unit is proportional to the measured temperature within the range 0-120℃. The output signal range is to be 20–100 kN/m2.

The characteristic of the input bellows is 5 μm/℃, 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 ‘y’, the distance from the pivot to the nozzle, to achieve a gain of 0.5;

(e) the output pressure at 75°C with a gain of 0.5 if the output pressure was 40 kN/m2 at a temperature of 30°C.

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