In #MESExperiments 14, I demonstrate a very interesting finding that I had not previously suspected with gyroscopes and that is the steepness of the angle of precession has very little direct effect on the rate of precession. Note that in this context I refer to the rate or “period” of precession as the number of precession revolutions per time (in this case per minute hence RPM) and should be distinguished from precessional or angular velocity which is the actual speed of the center of mass moving in precession. This observation of the precession rate being unaffected by the steepness of the angle indicates both that the angular velocity of the center of mass is increasing as the angle is steeper (since the gyro has further distance to precess) but also that there is an underlying symmetry taking place between the gyro spin speed and the rate of precession. Furthermore, my prior intuition was that the steeper the gyroscope the more “torque” would be imposed which should drive both the precession rate and velocity faster to maintain its (anti-gravitic) levitation. But given my earlier experiments of gyroscopes literally behaving massless in precession, it seems fitting and more reasonable that precession has a much more correlated and direct connection to the spin speed than conventionally understood. Four gyroscope tests were performed in this experiment and at angles: 31°, 45°, 65°, and 84° from the vertical. The full results are show in the Excel Spreadsheet file and corresponding Steemit Notes. - Excel File: https://1drv.ms/x/s!As32ynv0LoaIh_F1zEvJGUMvdW_6zw?e=B3X619 - Hive Notes: https://peakd.com/mesexperiments/@mes/mesexperiments-14-angle-of-gyroscope-has-little-effect-on-rate-period-of-precession-interesting I discuss the data and findings in the Steemit article so make sure to go over it. Interesting findings include the precession rate increases with elapsed time but up to a “peak precession rate” after which the precession rate drops. Since the near horizontal 84° gyro fell down quickly it did not exhibit a typical “peak precession rate” but rather fell at its highest precession rate. This is definitely a subject of further study. Further discussion of the findings, the links to the original gyro tests, specific data measurements, and weight measurements (the gyro used is 150.68 grams with the stem) are also included in the Steemit post. Note: I accidentally skipped over the 233 revolutions count for the 65° test but have corrected this in the Excel/Steemit data. Stay Tuned for #MESExperiments 15… Related Videos: #MESExperiments Video Series: https://peakd.com/mesexperiments/@mes/list DRAFT #MESExperiments Video Series: https://mes.fm/experiments-draft #AntiGravity Video Series: https://peakd.com/antigravity/@mes/series #FreeEnergy Video Series: https://mes.fm/freeenergy-playlist . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over another example on calculating the area of polar curves and this time find the area enclosed by a circle yet separated by a cardioid. The Cardioid, or Heart in Greek, is the same formula I had previously graphed in my earlier example video. To save time, I plot both of the graphs together by using the Desmos calculator to obtain the resulting area we need to calculate. The first step in solving for the area is to find the points at which they intersect. From there we can apply the formula for the area of a polar curve which I covered in my earlier video, but this time we solve for the area of a polar circle, and then subtract from it the area of the polar cardioid. This is a very important video in understanding how to go about solving in detail the area enclosed by two polar curves, so make sure to watch this video! Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvVAKCYLCqdXeyXJow View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-polar-coordinates-area-example-2-cardioid-and-circle Related Videos: Polar Coordinates: Area: Example 1: r = cos 2ϴ: https://youtu.be/6kavQyGcODo Polar Coordinates: Area Formula: https://youtu.be/wd-EwiKzqa0 Polar Coordinates: Graphing With Polar Curves with Desmos Calculator: https://youtu.be/xY9Be9HHRsk Polar Coordinates: Cartesian Connection: https://youtu.be/HcaTYrpmGaU Polar Coordinates: https://youtu.be/-KAdZL-N4ok Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw Polar Coordinates: Example 7: Cardioid: https://youtu.be/rPErcaqNUIY Half Angle Trigonometry Identities: http://youtu.be/0bY6tHZhBSI . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: Official Website: https://MES.fm Steemit: https://steemit.com/@mes Gab: https://gab.ai/matheasysolutions Minds: https://minds.com/matheasysolutions Twitter: https://twitter.com/MathEasySolns Facebook: https://fb.com/MathEasySolutions LinkedIn: https://mes.fm/linkedin Pinterest: https://pinterest.com/MathEasySolns Instagram: https://instagram.com/MathEasySolutions Email me: contact@mes.fm Try our Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Try our Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps ... https://www.youtube.com/watch?v=vSzxzNn3EiA