When measuring a speed, the most common way to calculate it is by recording
how far something went and the time it took to go that far. In the case of light,
this is very difficult. One could conceivably shine a light over a vast distance
and have someone else record when they see the light, but this would be difficult
even at large distances. The person recording when they see it will need to have
terrific reflexes to accurately measure a correct time as the time will be very
short. A better method involves the use of a quickly rotating mirror and a beam
of light. By aiming a beam of light o the rotating mirror, then reflecting it
o a second stationary mirror back into the rotating mirror, calculations can be
made on the speed of light. After first hitting the rotating mirror, the mirror
will rotate very slightly in the time it takes the beam of light to return and
will reflect back to a different position from where it came from. By measuring
the displacement of the round trip, a measurement of the speed of light can be
made.
A proof is given that the summation of all prime numbers can be assigned the value of 13/12, as well as values that can be assigned to the summation of all multiples and all odd multiples.
In this note, we will show how transformations can be used to obtain a radically simple derivation of the equation of the line of best fit. Our approach also gives a simple geometric interpretation of the Pearson correlation coefficient.
In this experiment we conducted bending tests on several different specimens of Aluminum as well as Ceramics. Using the data gathered from these tests as well as measurements we took of their primary dimensions, we calculated (for each specimen) modulus of rupture, flexure strain, Young's modulus, as well as specific strength and stiffness. These tests gave us insight into new characteristics of aluminum and ceramics that allowed us to better understand their applications in industry.