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,...
-
MM's proposition 1 suggests that in the absence of taxes it makes no difference whether the firm borrows on behalf of its shareholders or whether they borrow directly. However, if there are corporate...
-
You are conducting experiments to study prototype heat engines. In one test, 4.00 mol of argon gas are taken around the cycle shown in Fig. P20.57. The pressure is low enough for the gas to be...
-
Repeat the calculations of Example 6.3, but for \(80 \mathrm{~mol} \%\) of the liquid distilled. Data From Example 6.3:- Suppose the liquid of Example 6.1 [50 mol% n-heptane (A), 50 mol% n-octane...
-
(Entries for Retirement and Issuance of Bonds) Robinson, Inc. had outstanding $5,000,000 of 11% bonds (interest payable July 31 and January 31) due in 10 years. On July 1, it issued $7,000,000 of...
-
Consider the region R on Earth including points whose coordinates, when rounded to a whole number of seconds, round to 1233'8" N, 8843'11" W. Determine with justification the perimeter of region R.
-
It is January 1, 2017 and Pegasus is contemplating the acquisition of competitor Chimera. The following details are available (S in millions except per share data): January 1, 2017 (S in millions)...
-
1. A computer has an associative cache with a block size of 16 bytes per block. An integer is a 4-byte number. In this case, how does the data alignment of integers affect the performance of memory...
-
INCOME STATEMENT Sales Cost of Goods Sold Gross Profit Selling Expense General & Administrative Depreciation $ 5,234,198 3,659,135 1,575,063 227,295 626,000 176,000 Bank Interest on Loan 147,500...
-
How might one elucidate the evolutionary trajectory leading to the development of intricate anatomical structures such as the human eye or avian wing from rudimentary ancestral forms? Please...
-
Should publicly-traded retail companies engage in cause marketing where they donate a portion of profits to non-profit organizations and where do you stand in this issue?
-
The genes for mahogany eyes and ebony body are 18 MU apart on chromosome III in Drosophila. Assume that a mahogany-eyed female was mated to an ebony- bodied male and the resulting F phenotypically...
-
The following selected account balances relate to the property, plant, and equipment accounts of Crane Ltd.: Accumulated depreciation-buildings Accumulated depreciation-equipment Depreciation...
-
Discuss how the health care external environment differs from that faced by the average U.S. company. Explain this in terms of both the industry and macroenvironment levels ?
-
Distinguish between the work performed by public accountants and the work performed by accountants in commerce and industry and in not-for-profit organisations.
-
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...
-
a. Show that the mean-squared forecast error \(E\left[\left(\hat{y}_{T+1}-y_{T+1} ight)^{2} \mid I_{T} ight]\) for a forecast \(\hat{y}_{T+1}\), that depends only on past information \(I_{T}\), can...
-
Consider the AR(1) model \(y_{t}=\delta+\theta y_{t-1}+e_{t}\) where \(|\theta|)=0\) and \(\operatorname{var}\left(e_{t} \mid I_{t-1} ight)=\sigma^{2}\). Let \(\bar{y}_{-1}=\sum_{t=2}^{T} y_{t}...
-
Consider a stationary model that combines the \(\operatorname{AR}(2)\) model \(y_{t}=\delta+\theta_{1} y_{t-1}+\theta_{2} y_{t-2}+e_{t}\) with an \(\mathrm{AR}(1)\) error model \(e_{t}=ho...
Study smarter with the SolutionInn App