The history of performance automobile design and production has been characterized by trying to get more...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The history of performance automobile design and production has been characterized by trying to get more speed for less power. High power engines are heavy, require more cooling, and consume fuel at a high rate. It is therefore advantageous for a race car to have an aerodynamic body to reduce drag. This assignment will walk you through how to estimate the top speed of a car given that we know the power rating of the engine and a few key design characteristics. For this assignment, we assume that the top speed of our race car is limited only by the power produced, and air resistance. 1. Say the car is traveling along at it's top speed along a flat road. Draw a free body diagram of the car, and write out Newton's second law for the horizontal direction. For now, call the forward force F. and the drag force Fp. NSL: Fet =ma Ake mg Hint: imagine that the car travels a known distance. How much work does the drag force do over this distance? How long does it take to cover the distance? 2. If the car travels at top speed, vm, what is the the power supplied to the car by the drag force? Let the horsepower supplied by the engine be denoted by P. and also assume that all of the necessary factors to calculate the drag force are known, i.e., the effective cross sectional area, the density of air, and the drag coefficient. What is vm in terms of these parameters? 3. 4. Lets put in some real life numbers to get a feel for the problem. Say that our engine supplies 500hp, and we know the density of air is roughly 1.2 kg/m. What is the top speed of a car with cross sectional area A = 6 m2 and drag coefficient C =0.55 (roughly equivalent to a military truck)? What if we manage to reduce the drag coefficient to C = 0.25 (that of a modern production sports car)? Hint: make sure that your units are compatible %3D The history of performance automobile design and production has been characterized by trying to get more speed for less power. High power engines are heavy, require more cooling, and consume fuel at a high rate. It is therefore advantageous for a race car to have an aerodynamic body to reduce drag. This assignment will walk you through how to estimate the top speed of a car given that we know the power rating of the engine and a few key design characteristics. For this assignment, we assume that the top speed of our race car is limited only by the power produced, and air resistance. 1. Say the car is traveling along at it's top speed along a flat road. Draw a free body diagram of the car, and write out Newton's second law for the horizontal direction. For now, call the forward force F. and the drag force Fp. NSL: Fet =ma Ake mg Hint: imagine that the car travels a known distance. How much work does the drag force do over this distance? How long does it take to cover the distance? 2. If the car travels at top speed, vm, what is the the power supplied to the car by the drag force? Let the horsepower supplied by the engine be denoted by P. and also assume that all of the necessary factors to calculate the drag force are known, i.e., the effective cross sectional area, the density of air, and the drag coefficient. What is vm in terms of these parameters? 3. 4. Lets put in some real life numbers to get a feel for the problem. Say that our engine supplies 500hp, and we know the density of air is roughly 1.2 kg/m. What is the top speed of a car with cross sectional area A = 6 m2 and drag coefficient C =0.55 (roughly equivalent to a military truck)? What if we manage to reduce the drag coefficient to C = 0.25 (that of a modern production sports car)? Hint: make sure that your units are compatible %3D
Expert Answer:
Related Book For
Posted Date:
Students also viewed these physics questions
-
The aerodynamic drag force Fd in kN on an automobile is given as Fd = 1/2000 cd A V2 [kN], Where cd is the non-dimensional drag coefficient, A is the frontal area in m2, is the density of the...
-
A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the...
-
A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the...
-
PMOs should help to ensure that organizations use the resources in the best way. This contributes to: Group of answer choices Effective use or organizations and alignment Effectiveness, efficiency,...
-
An S corporation shareholder is currently in the 28 percent tax bracket. His S corporation is going to pass a very large loss through to him that would otherwise offset other income, except for the...
-
For Linux - Please replace the XXXs in the script below to solve this: Write a shell script that accepts exactly 1 argument which must be a positive integer. The script will print a comma separated...
-
Estimate value of \(\varphi_{\mathrm{d}}\) in the tank and power \(\mathrm{P}\) required for Example 13-7 with \(\mathrm{H}_{\text {tank }}=\mathrm{d}_{\text {tank }}=0.8279 \mathrm{~m}\) and a...
-
Accel Sports Company makes snowboards, downhill skis, cross-country skis, skateboards, surfboards, and inline skates. The company has found it beneficial to split operations into two divisions based...
-
After attending a free seminar in Orlando while he was on vacation, Walt became the proud owner of a time - share unit that he has a right to occupy for a full week every winter. B
-
Kinkaid Co. is incorporated at the beginning of this year and engages in a number of transactions. The following journal entries impacted its stockholders equity during its first year of operations....
-
. Exercise 6 Carefully consider the pneumatic circuit shown. M1 C1 FM1 0 SLPM 0 SLPM FM2 0 bar F1 5 bar R1 P1 L1 S1 V1 Figure for Exercise 6 V2 a. What stroke do you predict will be faster? Forward...
-
Sandhill Corporation manufactures several types of accessories. For the year, the gloves and mittens line had sales of $489,000, variable expenses of $367,000, and fixed expenses of $142,000....
-
The Cool Watch company sells two products. The company's water-resistant model sells for $100, has a contribution margin of 35%, and generated sales of $100,000. The company's "basic timepiece" sells...
-
A 8 . 2 2 - nC charge is located 1 . 6 3 m from a 4 . 2 6 - nC point charge. ( a ) Find the magnitude of the electrostatic force that one charge exerts on the other.
-
A garden hose can fill a swimming pool in 9 days, and a larger hose can fill the pool in 4 days. How long will it take to fill the pool if both hoses are used?
-
A car is making a trip in a total time of 1 0 4 min. During the first 3 7 min its average speed is 2 8 . 5 mph. What average speed of the rest of the trip is needed if the car\'s overall average...
-
The method of figuring depreciation that puts more emphasis on actual usage is the method of depreciation. O units-of-activity or unit-of-production double-declining balance O straight-line MACRS
-
Economic feasibility is an important guideline in designing cost accounting systems. Do you agree? Explain.
-
A sample of seven concrete blocks had their crushing strength measured in MPa. The results were Ten thousand bootstrap samples were generated from these data, and the bootstrap sample means were...
-
Two machines are used to package laundry detergent. It is known that weights of boxes are normally distributed. Four boxes from each machine have their contents carefully weighed, with the following...
-
A machine that fills bottles with a beverage has a fill volume whose mean is 20.01 ounces, with a standard deviation of 0.02 ounces. A case consists of 24 bottles randomly sampled from the output of...
-
During the year, Paton Corporation's Long-Term Investments account (at cost) increased \(\$ 20,000\), the net result of purchasing stocks costing \(\$ 85,000\) and selling stocks costing \(\$...
-
Total quality management (TQM) is based on four tenets of (1) continuous improvement, (2) employee participation, (3) product/service improvement, and (4) supplier relationships. Review each of the...
-
Better Health Inc. is a health care provider which has clinics across the U.S. Indicate whether each of the following examples of benchmarking for Better Health is considered (1) internal...
Study smarter with the SolutionInn App