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Problem 29 Hard Difficulty

(II) Estimate the number of dentists $(a)$ in San Francisco and $(b)$ in your town or city.

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Physics 101 Mechanics

Physics for Scientists and Engineers with Modern Physics

Chapter 1

Introduction, Measurement, Estimating

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Video Transcript

So this question is to, um, basically practice dimensional analysis in order to estimate the number of dentists per city, we need the population of the city, the number of patients that a dentist sees in a day, the number of days that a dentist's works in a year, and the number of times that each person visits the dentists each year. So we can say that dentists see 10 patients per day. We can say that they work 225 days per year, and we can say that people visit dentist ah, two times per year. So we can say Or you can say, Maybe better yet two visits, huh? Year So we can say, um, for part A For San Francisco, we can say that there's 22 times 10 to the Sixth people times two visits per year for one person. And then there's one year for every 225 work days. And then for every one dentists he sees about 10 patients per day, and then this would be equal to approximately 1800 dentists. So essentially, we just have to do this for, uh, this basically a city weaken just pick any random city. Ah, you would be picking your own city. However, let's d'oh weaken Do Marion, Indiana So marry in Indiana has a population of about 50,000. So let's do a low population city relatively low. Ah, so for part B, we have again, uh, in this case, it will be five times 10 to the fourth people multiplied by the exact same parameter. So two visits per year per person multiplied by one year. Uh, for every 225 work days multiplied by one dentist sees about 10 visits for everyone. Ah, work day. And this is giving us approximately 45 dentists. So, as you can see, of course, the number of dentists is directly proportional to how many people there are in this city. And again, this is for a relatively small city. Marion, Indiana. That is the end of the solution. Thank you for watching

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Physics for Scientists and Engineers with Modern Physics

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Watch More Solved Questions in Chapter 1

Video Transcript

Douglas C. Giancoli

Physics for Scientists and Engineers with Modern Physics

Christina Krawiec

Liev Birman

Marshall Styczinski

Meghan Miholics

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Physics for Scientists and Engineers with Modern Physics

Christina Krawiec

Liev Birman

Marshall Styczinski

Meghan Miholics

Douglas C. GiancoliPhysics for Scientists and Engineers with Modern Physics

Christina Krawiec

Liev Birman

Marshall Styczinski

Meghan Miholics

Douglas C. Giancoli

Physics for Scientists and Engineers with Modern Physics