book:chap1:1.3_order-of-magnitude_guesses
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book:chap1:1.3_order-of-magnitude_guesses [2021/10/26 21:08] – [Self Test] jv | book:chap1:1.3_order-of-magnitude_guesses [2022/04/01 19:28] (current) – jv | ||
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+ | [[basics| 1. Basic Principles]] | ||
+ | * [[ 1.1 Basic notions of mechanics ]] | ||
+ | * [[ 1.2 Dimensional analysis ]] | ||
+ | * ** 1.3 Order-of-magnitude guesses ** | ||
+ | * [[ 1.4 Problems ]] | ||
+ | * [[ 1.5 Further reading ]] | ||
+ | |||
+ | ---- | ||
+ | |||
===== 1.3 Order-of-magnitude guesses ===== | ===== 1.3 Order-of-magnitude guesses ===== | ||
Many physical quantities take a value close to one | Many physical quantities take a value close to one | ||
- | when they are expressed in their ``natural'' | + | when they are expressed in their “natural” dimensionless units. |
When the choice is unique, then clearly it is also natural. | When the choice is unique, then clearly it is also natural. | ||
Otherwise, the appropriate choice is a matter of experience. | Otherwise, the appropriate choice is a matter of experience. | ||
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(see [[# | (see [[# | ||
\\ | \\ | ||
- | As discussed in \Example{pendulum-nodim} the dimensionless | + | As discussed in [[book: |
- | Hence we estimate that the period $T$ of the pendulum is of the order of | + | Hence, we estimate that the period $T$ of the pendulum is of the order of |
$ | $ | ||
T \simeq \sqrt{L/ | T \simeq \sqrt{L/ | ||
Line 38: | Line 47: | ||
</ | </ | ||
- | <WRAP box round> | + | <WRAP box round # |
A Tsunami wave is a water wave that is generated by an earth quake or an underwater land slide. | A Tsunami wave is a water wave that is generated by an earth quake or an underwater land slide. | ||
Typical wave lengths are of an order of magnitude $\lambda = 100\, | Typical wave lengths are of an order of magnitude $\lambda = 100\, |
book/chap1/1.3_order-of-magnitude_guesses.1635275331.txt.gz · Last modified: 2021/10/26 21:08 by jv