3. An automobile having a mass of 2200 kg travels up a 7° slope at a constant speed of v = 100 km/h. If mechanical friction and wind resistance are neglected, determine the power developed by the engine if the automobile has an efficiency of ɛE = 0.65. 7°
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- An electric motor is rated at 10 horsepower (HP) and costs $800. Its full-load efficiency is specified to be 85%. A newly designed, high-efficiency motor of the same size has an efficiency of 90%, but costs $1,200. It is estimated that the motors will operate at a rated 10-HP output for 1,500 hours a year, and the cost of energy will be $0.07 per kilowatt-hour. Each motor is expected to have a 15-year life. At the end of 15 years, the first motor will have a salvage value of $50, and the second motor will have a salvage value of $100. Consider the MARR to be 8%. (Note: 1 HP= 0.7457kW.)(a) Determine which motor should be installed based on the PW criterion.(b) What if the motors operated 2,500 hours a year instead of 1,500 hours ayear? Would the motor selected in (a) still be the choice?What is the efficiency of an out-of-condition professor who does 1.90 ✕ 105 J of useful work while metabolizing 510 kcal of food energy? (Enter your answer as a percentage. Enter a number.)% How many food calories (in kcal) would a well-conditioned athlete metabolize in doing the same work with an efficiency of 25%? (Enter a number.)kcal4. Suppose that a nuclear power plant has an efficiency of about 0.34, and generates 1000 MW of power. It is located on the banks of a major river that is 67 m wide near the plant, approximately 3 m deep, and flows at a rate of 0.5 m/s. Suppose that the plant re-routes all of this water into the plant and dumps its waste heat evenly throughout the water, then returns the warmer water to the river. How much warmer is the river downstream of the plant compared to upstream? Water's specific heat is approximately 4184 J/kg/K, and its density is 1000 kg/m³. [Answer: The water is warmer by 4.62 K. This is a lot warmer!]
- A bathroom extractor fan being sold on Amazon has a duct diameter of 10.0 cm. It extracts air from a bathroom at a rate of 70.0 m3/h and the power supplied to the fan is 7.0 W. With what efficiency does the extractor convert electrical power into the kinetic power associated with the air-motion? Take the density of air to be 1.2 kg/m3 and assume laminar air flow.Problem 3: Suppose a subject on a treadmill puts out work at the rate of 95 W while consuming oxygen at the rate of 2.00 L/min. Assume this rate of oxygen consumed corresponds to a power output of 700 W. What is the percent efficiency of the subject? 7 (%) = ||