Engineering Fundamentals: An Introduction to Engineering
Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357112311
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 7, Problem 50P
To determine

Find the frontal area of the car in SI unit and U.S. Customary unit.

Expert Solution & Answer
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Answer to Problem 50P

The frontal area of the car in inches is 3018in2, expressed in SI units and U.S. Customary units as 1.9466m2 and 20.945ft2.

Explanation of Solution

Given data:

The height of the car (H) is 50.9in,

The width of the car (W) is 68.5in.

Formula used:

Formula to calculate the frontal area of the car is,

A=A1A2 (1)

Here,

A1 is the total frontal area of the car,

A2 is the area of the squares in which the parts of the car is not touched.

Calculation:

Total frontal area:

Formula to calculate the total frontal area of the car is,

A1=H×W (2)

Here,

H is height of the car,

W is width of the car.

Substitute 50.9in for H, and 68.5in for W in equation (2) to find A1.

A1=(50.9in)×(68.5in)=3486.65in2

Area of the squares in which the parts of the car is not touched:

Refer to the figure 7.50, the height and width of the car is divided as slots. Therefore,

The height of the car = 50.9 in = 15.5 slots

For 1 slot, the height (h) is:

1slot=50.915.5in=3.28in

The width of the car=68.5 in=23 slots

For 1 slot, the width (w) is:

1slot=68.523in=2.98in

From the figure 7.50, approximately the total number of slots which is not touching the parts of car is 48.

Formula to calculate the area of the squares which is not touched by the parts of car is,

A2=48(h×w) (3)

Here,

h is height of the square,

w is width of the square.

Substitute 3.28in for h, and 2.98in for w in equation (3) to find A2.

A2=(48)(3.28in×2.98in)=469.17in2

Substitute 3486.65in2 for A1 and, 469.17in2 for A2 in equation (1) to find A.

A=(3486.65in2)(469.17in2)=3018in2

The SI unit of the frontal area of the car is,

A=3018in2 [1in2=0.000645m2]=(3018)(0.000645m2)=1.9466m2

The U.S. Customary unit of the frontal area of the car is,

A=3018in2 [1in2=0.00694ft2]=(3018)(0.00694ft2)=20.945ft2

Therefore, the frontal area of the car in SI unit and U.S. Customary unit is 1.9466m2 and 20.945ft2.

Conclusion:

Thus, the frontal area of the car in SI unit, U.S. Customary unit and in inches is 1.9466m2, 20.945ft2 and 3018in2 respectively.

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