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# HW1_sol - Thermal Fluids Engineering I Spring 2006...

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Thermal & Fluids Engineering I. Spring 2006. Homework #1 Solution. WebCT post date: 01/26/2006 2-2 A missile is launched vertically upward from the surface of the earth with an initial velocity of 350 m/s. If the missile mass is 1200 kg, calculate the maximum height the missile will attain. Assume no aerodynamic drag or other work during the flight and no heat transfer. Approach: Write the first law for a closed system and eliminate all terms except kinetic and potential energy changes. Assumptions: 1. The missile does not exchange heat with the surroundings. 2. Aerodynamic drag is negligible. 3. The missile is isothermal. Solution: From the first law KE PE U Q W Δ + Δ + Δ = - With no work, heat transfer, or change in internal energy, this becomes 0 KE PE Δ + Δ = ( ) 2 2 2 1 2 1 1 ( ) 0 2 m mg z z - + - = V V Setting 1 0 z = and solving for z 2 2 2 2 1 2 2 2 m 350 0 s m 2 2 9.81 s z g - - = = V V 6244m = Answer Comment: Mass is not needed in the calculation.

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Thermal & Fluids Engineering I. Spring 2006. Homework #1 Solution. Page 2 2-5 A mass of 1200 kg of fish at 20 o C is to be frozen solid at –20 o C. The freezing point of the fish is –2.2 o C and the specific heats above and below the freezing point are 3.2 and 1.7 kJ/kg·K, respectively.
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