An epicyclic speed reduction gear schematic is shown in Fig. 4(c). Compound wheel B-C is free to rotate on pin A connected to driving shaft. Wheel \text{'}C\text{'} meshes with fixed wheel \text{'}E\text{'} and wheel \text{'}B\text{'} meshes with wheel \text{'}D\text{'} keyed to driven shaft.

If number of teeth on wheels are T_b = 27, T_c = 30, T_d = 24 and T_e = 21, determine the ratio of speeds of the driving and driven shafts.

2Medium10 marks

The outer and inner surfaces of a thick hollow cylinder have areas 1.25 m^2 and 0.25 m^2 respectively. The thickness of the cylinder is 10 cm and the thermal conductivity of the cylinder material is 50 W/m K. Find the radial heat transfer through the cylinder for 100 °C temperature difference at the surfaces. Derive the formula used.

3Medium10 marks

Even though velocity-compounded impulse turbines are less efficient, in the initial stages of high pressure turbines are normally velocity-compounded. Why? Plot the variation of pressure and velocities in velocity-compounded and pressure-compounded impulse turbines.

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