book:chap1:1.3_order-of-magnitude_guesses
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| book:chap1:1.3_order-of-magnitude_guesses [2021/10/25 22:55] – 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. | ||
| Line 20: | Line 29: | ||
| (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\, | ||
| Line 90: | Line 99: | ||
| You put these books into bookshelves with seven boards in each shelf. | You put these books into bookshelves with seven boards in each shelf. | ||
| How many meters of bookshelves will you need to store your data on paper? | How many meters of bookshelves will you need to store your data on paper? | ||
| + | </ | ||
| ~~DISCUSSION|Questions, | ~~DISCUSSION|Questions, | ||
book/chap1/1.3_order-of-magnitude_guesses.1635195356.txt.gz · Last modified: 2021/10/25 22:55 by jv