Exercise 3.10.23. [S][Section 3.3][Goal 3.2] How long is a year? In Fermi problems we often use 400 days/year to make the arithmetic easier. (a) What is the relative error when you use 400 days/year instead of 365 days/year? (b) What does the Google calculator tell you when you ask it for one year in days ? (c) Why isn't the answer above "365 days"? (d) What are the relative and absolute errors when you use Google's answer instead of days? (e) Why isn't Google's answer just "365.25 days" to take leap years into account?

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Exercise 3.10.23. [S][Section 3.3][Goal 3.2] How long is a year?
In Fermi problems we often use 400 days/year to make the arithmetic easier.
(a) What is the relative error when you use 400 days/year instead of 365 days/year?
(b) What does the Google calculator tell you when you ask it for
one year in days ?
(c) Why isn't the answer above "365 days"?
(d) What are the relative and absolute errors when you use Google's answer instead of 365
days?
Why isn't Google's answer just "365.25 days" to take leap years into account?
Transcribed Image Text:Exercise 3.10.23. [S][Section 3.3][Goal 3.2] How long is a year? In Fermi problems we often use 400 days/year to make the arithmetic easier. (a) What is the relative error when you use 400 days/year instead of 365 days/year? (b) What does the Google calculator tell you when you ask it for one year in days ? (c) Why isn't the answer above "365 days"? (d) What are the relative and absolute errors when you use Google's answer instead of 365 days? Why isn't Google's answer just "365.25 days" to take leap years into account?
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