Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 1, Problem 10Q

List assumptions useful to estimate the numbers of car mechanics in (a) San Francisco, (b) your hometown, and then make the estimates.

Expert Solution & Answer
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To determine

The assumptions which are useful to estimate the number of car mechanics in

  1. San Francisco
  2. Hometown

To Estimate: The number of car mechanics in each.

Answer to Problem 10Q

Solution:

In estimating the number of car mechanics, the assumptions needed are:

  1. The population of the city.
  2. The number of cars per person in the city (dependent upon the standard of living).
  3. The number of cars that a mechanic repairs in a day.
  4. The number of workdays in a year.
  5. The number of repairs of a car in a year.
  1. The number of car mechanics in San Francisco = 1200 mechanics.
  2. In hometown, the number of car mechanics = 670 mechanics.

Explanation of Solution

Calculation:

The population of San Francisco 870887 people.

Letthere be 1 car forevery2 people.

A mechanic can repair 3 cars per day.

A mechanic works 260 days per year.

A car needs to be repaired twice per year.

The number of mechanics

  =(870887people)×(1car2people)×(2repairs/year1car)×(1year250workdays)×(1mechanic3repairs/workday)

The number of mechanics (car) =1161 1200 mechanics

The population of hometown =2×106 people

1car for every 10 people.

A mechanic can repair 2 cars per day.

A mechanic works 300days per year.

A car needs to be repaired twice per year.

The number of mechanics

  =(2×106people)×(1car10people)×(2repairs/yearcar)×(1year300workdays)×(1mechanic4repairs/workday)

  =670 mechanics

Conclusion:

  1. The number of car mechanics in San Francisco = 1200 mechanics.
  2. In hometown, the number of car mechanics = 670 mechanics.
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Physics: Principles with Applications

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