HW for Tuesday

First, some Fermi questions to play with:

1.  How many hairs are on your head?

2.  How many times does one of the tires on a car rotate in its lifetime?

3.  How many toilets are there in all of the major league football stadiums, baseball parks, and basketball arenas in the USA?

Now some motion math.

4.  What is the difference between traveling at an average speed vs. a constant speed (for the same distance)?  In other words, if you were traveling at an average speed of 5 m/s vs. traveling at a constant speed of 5 m/s, would you go a greater distance in either case (after, say, 10 minutes)?  Discuss.

5.  Find the definition of acceleration and write it down.

6.  Consider a car traveling at a constant 10 m/s in a straight line.  What would a graph of distance (or position) vs. time look like for 50 seconds of travel time?  What would a graph of speed vs. time look like for the same time period?

FUN Homework!

Here are some unit problems to play with:

1.  Create a factor to convert from m/s to light-years (LY) per millennium.  1 LY = 9.4607 x 10^12 km.

2.  Create your own conversion factor - m/s to something else interesting.

3.  How long is a micro-century?  Give your answer in units that are appropriate.   Also, micro equals 1 millionth.

4.  How long is a nano-year.  Nano is a billionth.

5.  Roughly, what is the growth rate of your hair in m/s?

6.  What is your average speed on the way to school - in miles per hour (and m/s)?

For fun:

https://en.wikipedia.org/wiki/List_of_humorous_units_of_measurement

SI Units - notes

Some comments on standards. We generally use SI units in physics. To inform you:

Mass is measured based on a kilogram (kg) standard.
Length (or displacement or position) is based on a meter (m) standard.
Time is based on a second (s) standard.

How do we get these standards?

Length - meter (m)

- originally 1 ten-millionth the distance from north pole (of Earth) to equator
- then a distance between two fine lines engraved on a platinum-iridium bar
- (1960): 1,650,763.73 wavelengths of a particular orange-red light emitted by atoms of Kr-86 in a gas discharge tube
- (1983, current standard): the length of path traveled by light during a time interval of 1/299,792,458 seconds

That is, the speed of light is 299,792,458 m/s. This is the fastest speed that exists. Why this is is quite a subtle thing. Short answer: the only things that can travel that fast aren't "things" at all, but rather massless electromagnetic radiation. Low-mass things (particles) can travel in excess of 99% the speed of light.

Long answer: See relativity.

Time - second (s)

- Originally, the time for a pendulum (1-m long) to swing from one side of path to other
- Later, a fraction of mean solar day
- (1967): the time taken by 9,192,631,770 vibrations of a specific wavelength of light emitted by a cesium-133 atom

Mass - kilogram (kg)

- originally based on the mass of a cubic decimeter of water
- standard of mass is now the platinum-iridium cylinder kept at the International Bureau of Weights and Measures near Paris
- secondary standards are based on this
- 1 u (atomic mass unit, or AMU) = 1.6605402 x 10^-27 kg
- so, the Carbon-12 atom is 12 u in mass

Volume - liter (l)

- volume occupied by a mass of 1 kg of pure water at certain conditions
- 1.000028 decimeters cubed
- ml is approximately 1 cc

Temperature - kelvin (K)

- 1/273.16 of the thermodynamic temperature of the triple point of water (1 K = 1 degree C)
- degrees C + 273.15
- 0 K = absolute zero

For further reading:

http://en.wikipedia.org/wiki/SI_units

http://en.wikipedia.org/wiki/Metric_system#History

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In addition, we spoke about the spherocity of the Earth and how we know its size. I've written about this previously. Please see the blog entries below:

http://howdoweknowthat.blogspot.com/2009/07/how-do-we-know-that-earth-is-spherical.html

http://howdoweknowthat.blogspot.com/2009/07/so-how-big-is-earth.html

EM project ideas, etc.

Projects?

Speaker

Microphone

Motor

(Generator)

Guitar pickup

Telegraph

Circuit?  Amplifier circuit?  LED blinking circuit?

Arduino?

And in honor of Clara Rockmore's birthday:

https://www.youtube.com/watch?v=pSzTPGlNa5U

(Also see the recent Google doodle...)

For today (Tuesday)

Hello everyone,

Sorry to be out sick today.  Please do the following:

Gather in small groups and come up with 2 lists - what you know (or believe to be true) about magnetism, and what questions you have about magnetism.  Then join with another group and compare notes.

After that, do some research by inquiring about these questions (online, etc.):

1. What is magnetite?

2. What are North and South poles?

3. What is true about opposite poles and like poles in magnetism?

4. How do we discuss Earth's magnetic field? Where are the magnetic poles?

5. How does a compass work?  That is, how is it "polarized?"

6. How are magnetic fields similar to electric fields?  (Or different?)

7. Research some of the questions you generated in your list(s) above.

See you Thursday.

Sean

SAT session from 3/7/16

Practice combination circuit