Question 1 A horizontal "hot air blower" consists of a fan, an electrical heating element and a nozzle Cool air Hot air Fan Heater Nozde The power input to the fan is 50 J/s and the power input to the heating element is 1.44 kJ/s. The air enters the fan with negligible velocity at a pressure of 1 bar and a temperature of 20 °C, the volumetric flow rate being 0.5 m³ /min. After passing over the heating element, the air leaves the nozzle with a velocity of 25 m/s and a pressure of 1.1 bar. Treating the complete arrangement as a steady flow system and ignoring any heat loss from the system, determine: (a) The mass flow rate of air entering the fan in kg per second (b) The kinetic energy of the air leaving the nozzle per second (c) The change in enthalpy of the air occurring per second between entering the fan and leaving the nozzle (d) The temperature of the air as it leaves the nozzle. (e) The density of the air as it leaves the nozzle (f) The flow area at the nozzle exit. Take R = 0.287 kJ/kgK and cp = 1.005 kJ/kgK %3D %3D

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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.