Monday, March 7, 2016

1-7 March 2016- Base Units | PWN Physics 365

On this day in physics: 01 March 1966 – first spacecraft crash-lands on Venus, 02 March 1972, the spacecraft Pioneer II was launched which made close passes near Jupiter and Neptune before saying good bye to our lovely solar system. It is now SIX BILLION miles away from us. 03 March 1847, we say Happy Birthday to Alexander Graham Bell, the inventor of the telephone! It is also the birthday of Georg Cantor, the founder of modern set theory, and the first person to define different levels of infinity, the first two being countably infinite and uncountably infinite. Without much surprise, mathematics this intense did wind up driving him insane, and his work was repeatably marred with bouts of insanity. 04 March 1976, we salute the passing of Walter Schottky, the man for whom the Schottky effect is named. The Schottky effect (maybe more on this one day). 05 March 1616- The theory set forth by Copernicus that the Earth orbits the Sun is declared to be false doctrine by Bishop of Albano. 06 March 1913- Niels Bohr wrote the first of three papers regarding his theory of atomic structure. 07 March 1979- Photos from the Voyager spacecraft were analyzed and the ring around Jupiter was discovered. By contrast, the rings of Saturn had been known since 1610. [Source]

Word of the Day- The base units are very important. Think of the unit of force, the Newton. The Newton can be simplified to be kilogram per meter per second squared. So, many units like this are called "derived units". There is a limit to this. In 1875, the Systemme Internacionale met in france and agreed that for the world, there are 7 base units, and went on to determine a standard for each of these. Now most of these units are for human-sized sales, since we are human beings and those tend to be the sizes of items we work with. However, the thing to walk away from in this is that there are really only 7 items which are unique in terms of weights and measures, from which everything else can be explained. So, for this 7 day lapse, I offer you the 7 base units.

The first of these fundamental measurable quantities is of course length. Length determines the distance between objects, or the distance of an object. As we've learned from relativity, this measurement can vary depending on your speed, however in our world we can assume that that speed is roughly constant. The standard unit of length is the meter.

The second measurable quantity, and probably the one most people measure the most is mass. The standard unit of mass is the kilogram, the ONLY standard unit which uses a power of ten prefix (kilo). A kilogram is defined to be the weight of one litre of water, and a litre is of course one thousanth of a cubic meter, the meter being our aforementioned first base unit.

The third measurable quantity is time. We all know what time is, or at least we think we do. It's a very bizarre feature of our universe, and there is nothing which behaves quite like it. It's the only dimension which seems to only move in one direction, constantly pressing us forwards. It puts the order to all the events in our lives, and allows us to traverse space incrementally, as time moves on. The base unit is a second, which is currently defined to be *roughly* nine billion oscillations of light emitted from a Cesium Atom.

The fourth measurable quantity is electric current. As electrons move, they generate a magnetic field, and also an electric field. The motion of electrons is what produces current. Current also produces voltage, and the two are directly relatable with the resistance of the conductor being the multiplier between them. The base unit of electric current is the Ampere.

The fifth measurable quantity is temperature. We check the temperature all the time. Temperature is the amount of energy an object or space contains. Depending on where you are in the world, you probably use Fahrenheit or Celsius, but for calculations, we use the Kelvin. It uses the same gradation as the Celsius scale, i.e. 1K = 1 degree Celsius, but the difference is that 0K is what is known as ABSOLUTE ZERO, absolutely no energy. 0 Celsius is the freezing point of water.

The sixth measurable quantity is the amount of a substance. Not to be confused with mass, this is the count of how many particles there are. The base unit of amount is the mol, or 6.022e23 atoms. One mol of gold, would be much heavier, or have much more mass than one mole of hydrogen, which is significantly lighter. How much there is is a fundamentally measurable quantity.

The seventh and final measurable quantity: luminous intensity, think of the sun shining on your face at high noon versus at sunset. The light intensity is less, and it's possible to think about it as the amount of photons per unit area, the unit of which is candela. The standard candle emits roughly 1 candela of luminous intensity. Candela actually means candle in latin.

So there you go guys, seven words of the day in a single episode. Length, Mass, Time, Current, Temperature, Amount of Substance, and Luminous Intensity. Allegedly, from this, the rest will flow.

Quote of the Day: “How wonderful that we have met with a paradox. Now we have some hope of making progress.”-Niels Bohr

Keywords: Base Units, Meter, Length, Mass, Kilogram, Time, Second, Current, Ampere, Luminous Intensity, Candela, Amount, Mol, Mole, Temperature, Celsius, Kelvin

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Sunday, March 6, 2016

PWN E089c- Linear Examples Pt. 3- Point And Slope

In today's episode we continue digging into examples concerning our linear equation y = mx+b, where m is the slope, and b is the y-intercept. Our third example involves some not-so-nice numbers, to show how it usually is in math, ugly numbers. Find the equation of a line with slope -0.36 and intersects the point (271,25). As usual, coffee-stained notes below. Enjoy!






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28 February 2016- Raman Effect | PWN Physics 365

On this day in physics: 28 February 1928- Chandrasekhara Venkata Raman, an Indian Physicist, commenced experiments with light interference which led to his discovery of what is now known as the Raman Effect. Because of this it is also the date of National Science Day in India.

Word of the Day- Raman Effect is something that occurs during some photon scattering. If you shine light through a gas, it is possible to imagine it like a single photon traveling through a sea of pool balls. Each time the photon collides with one of the pool balls, (the pool balls being gas particles) the photon merely bounces off, and may change direction, but that's that. The atom is not changed, and neither is the photon. But sometimes, usually 1 in 10 million interactions, the photon is absorbed and moves one of the electrons into a higher-than-usual energy state, creating an excited electron, and changing the fundamental nature of the particle. This is known as the Raman effect.

Quote of the Day: "The true wealth of a nation consists not in the stored- up gold but in the intellectual and physical strength of its people." -C.V. Raman

Keywords: Electron, Scattering, Energy, Feynman, Diagram, Virtual. Photon, Raman

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27 February 2016- Electron Shells | PWN Physics 365

On this day in physics: 27 February 1961- UNIVAC Solid State 90, the world's first mobile computer was loaded into a van.

Word of the Day- Electron Shells- As electrons orbit an atom, they do not simply swarm in a sphere equidistant from the nucleus. As it turns out, there are different radii which the electrons tend to form in depending on how many electrons there are surrounding the nucleus. The first shell has two electrons, then the next has 6, the next has 10, then 14, then 18. Each of the atoms on the periodic table has one more electron and proton than the last, and they fill each of the shells in order.

Quote of the Day: "Don't tell me the sky is the limit when there are footprints on the Moon." - Anonymous

Keywords: Electron, Shells, UNIVAC, Computer

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26 February 2016- Parabola | PWN Physics 365

On this day in physics: 04 February 2016- We salute the passing of Edgar Mitchell, the sixth man to walk on the moon, on the Apollo 14 mission. Again, we solute you, and we'll see you again in the quote of the day. [Source]

Word of the Day- Parabola- The shape formed as the graphical solution to a quadratic equation, or an equation whose highest order or exponent is x^2. It is also the shape traced out by an object which you throw in the air, say a baseball or a basketball. It is possible to perfectly model projectile motion with a parabola.

Quote of the Day: “From out there on the moon international politics look so petty. You want to grab a politician by the scruf of the neck and drag him a quarter of a million miles out and say 'Look at that you son of a bitch.'” -Edgar Mitchell, Apollo 14

Keywords: Parabola, Quadratic, Kinematics, Gravity, Acceleration, Motion, Apollo 14, Edgar Mitchell

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25 February 2016- Tangent | PWN Physics 365

On this day in physics: 25 February 1837- Thomas Davenport patented the electrical motor. [Source]

Word of the Day- Tangent- A tangent is a line which touches a curve at one and only one point. There is a special definition of tangent in calculus, however. The derivative is the slope of the line tangent to the curve at that point. So, I personally have had a very difficult time envisioning this in my mind. If I think of a curve, such as a sine, cosine, parabola, etc. I feel like there are many lines which can touch the curve at one specific point and satisfy this definition. So, we will defer to the man who independently invented calculus alongside Issac Newton, Gottfried Leibniz. He says that the tangent line is the line which passes through two points on a curve which are "infinitely close" together. That to me makes much more sense. Take two points on the curve, and envision the line which goes through this, then bring those points closer and closer together, towards the point you desire, and the line that it approaches is your tangent line. Because of their usefulness in derivatives, tangent lines are very important in almost every aspect of physics.

Quote of the Day: "Prediction is very difficult, especially when it's about the future" -Niels Bohr

Keywords: Tangent, Line, Derivative, Calculus, Curve.

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Wednesday, February 24, 2016

PWN E089b- Linear Examples Pt 2- Point and Y-intercept

In today's episode we continue digging into examples concerning our linear equation y = mx+b, where m is the slope, and b is the y-intercept. Our second example involves finding the equation of a line which goes through the point (2,22) and has a y-intercept of 10. Below are my coffee-stained show notes which walk you through all the calculations. Enjoy!





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