Problem 1 (15 p): A fan is to accelerate quiescent air to a velocity of 18...

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Problem 1 (15 p): A fan is to accelerate quiescent air to a velocity of 18 m/s at a rate of 4 m^3/min. If the density of air is 1.18 kg/m^3, determine the minimum power required to supply to the fan. Problem 2 (15 p): The engine of a truck develops 95 kW of power. Determine the acceleration time of this truck from rest to 70 miles/h on a level road. (The mass of the truck is 1500 kg) Problem 3 (30 p): Determine the power required for a 1500 kg truck to climb a 250 m long uphill road with a slope of 30 from the horizontal in 20 s (a) at constant velocity (b) from rest to a final velocity of 25 m/s (c) from 35 m/s to a final velocity of 20 m/s. Disregard friction, air drag, and rolling resistance. Problem 4 (40p): A fluid at a pressure of 6 atm with a specific volume of 0.12 m^3/kg is constrained in a cylinder behind a piston. It is allowed to expand reversibly to a pressure of 0.9 atm according to the law P = c/V1.75, where c is a constant and V is the specific volume. Calculate the work done by the fluid on the piston. General Assignment Instructions: Include the title of your assignment. Include your name. Include the Date. Answers should be complete and demonstrate an understanding of the fundamental ideas. Use complete sentences. Do not use contractions or shorthand. Write neatly or type your answers so that they may be easily read. Include equations. Include units. Illegible or difficult to read text will be returned without grading. Staple pages together if more than one page. Problem 1 (15 p): A fan is to accelerate quiescent air to a velocity of 18 m/s at a rate of 4 m^3/min. If the density of air is 1.18 kg/m^3, determine the minimum power required to supply to the fan. Problem 2 (15 p): The engine of a truck develops 95 kW of power. Determine the acceleration time of this truck from rest to 70 miles/h on a level road. (The mass of the truck is 1500 kg) Problem 3 (30 p): Determine the power required for a 1500 kg truck to climb a 250 m long uphill road with a slope of 30 from the horizontal in 20 s (a) at constant velocity (b) from rest to a final velocity of 25 m/s (c) from 35 m/s to a final velocity of 20 m/s. Disregard friction, air drag, and rolling resistance. Problem 4 (40p): A fluid at a pressure of 6 atm with a specific volume of 0.12 m^3/kg is constrained in a cylinder behind a piston. It is allowed to expand reversibly to a pressure of 0.9 atm according to the law P = c/V1.75, where c is a constant and V is the specific volume. Calculate the work done by the fluid on the piston. General Assignment Instructions: Include the title of your assignment. Include your name. Include the Date. Answers should be complete and demonstrate an understanding of the fundamental ideas. Use complete sentences. Do not use contractions or shorthand. Write neatly or type your answers so that they may be easily read. Include equations. Include units. Illegible or difficult to read text will be returned without grading. Staple pages together if more than one page.