Tuesday, October 28, 2014

Sebastijan Skoko
MSI Lieb
10-28-14
Unit 3 - Sounds Good: Moving the Sine Function

The basic element of the sine function is the equation y=sin x, however, by adding additional variables to the equation it can become more complex. In the equation y = asin(b(x-c))+d, the additional values a, b, c, and d, add additional information, changing the curve. 

The value of a changes the amplitude. The amplitude as represented through this curve, dictates how the height of the waves. When the value of a is increased, the waves become taller in height. For example, when the curve is in the middle of the graph (d set to 0) and the value of a is 10, the top and bottom of the waves are at 10 and -10, respectively. To relate to the current unit on sound, a loud sound would have a taller wave and a softer sound would have a shorter wave. 

The value of b changes the frequency. The frequency as represented through this curve, dictates how many waves there are and how often they occur and restart. The more frequent the waves are, the shorter in length they are. When the value is high, or very low (negative) for frequency, the wave lengths are very short and the period (c) is very short. The closer to 0, however, the longer the wave lengths are (at 0 it is a linear function). 

The value of c changes the period. The period as represented through this curve, dictates how long the time between frequencies is. While frequency represents how often, period represents how long as stated by Chris Knight in class. By increasing the value of c, the entire graph moves to the right. Similarly when decreased, the entire graph moves to the left. 

The value of d changes the original height of the curve. By increasing the value for d, the graph slides up without changing it's shape, while decreasing the value for d slides the graph down without changing the shape. 

Thursday, October 16, 2014

Sebastijan Skoko
10-16-14
MS1 Day 27-29
Solar Model Blog

The home that I selected, and did my solar model on is my home, 37 W Ridge Dr, Sharon, Ma. My home is not touching any trees and the sunlight would be able to directly hit the roof. My roof is flat, which would make for a simple installation. My roof also sits at a tilt of approximately 26.5 degrees. The length of my roof is 60 feet, the width is 20 feet, the height is 10 feet, and the slant height (hypotenuse) is approximately 22.36 feet. The area of the roof is approximately 1341.64 square feet, and the roof fits comfortably 84 solar panels. These solar panels will produce 26110 watts and the system will cost $83,969.76. While the production every year is in degradation, a profit will eventually be had, after the yearly payments of $11,408.80. However, if you were not planning to dwell in my house for 20 years, or longer, you would receive no profit, although annual net savings would begin to turn positive after 10 years. Therefore, the practicality of putting solar panels on my roof depends on the expected stay of the residents. If you were expecting to live in my house for 20 years, then it would make sense to install a solar system, because you would return a profit. However, if your were to stay for less than 20 years, it would not be sensical to install a solar system, as you would be losing money. Yet still, if you were to stay in the house for 20 plus years, your returns would be remarkable, as you would return approximately $46,000 after 25 years. In the case of my family, although these benefits would be nice down the line, my parents are not expecting to stay in our current house for 20 years more, as they will likely move when my sisters, currently 8th grade go on to college.