Sign up to save your podcasts
Or
Share mes 3Speak Podcast
Share to email
Share to Facebook
Share to X
Share to email
Share to Facebook
Share to X
Or
mes 3Speak Podcast
By Math Easy Solutions
mes 3Speak Podcast episodes
- Kepler’s Laws of Planetary Motion
https://3speak.tv/watch?v=mes/c3b94a80
In this video, I go over Johannes Kepler's three laws of planetary motion and derive them using Isaac Newton's second law of motion, F = m a, and his law on universal gravitation. While observing the Danish astronomer Tycho Brahe's astronomical observations, Kepler observed recurring patterns in the data, which he formulated as three laws:- A planet revolves around the sun in an elliptical orbit with the sun at one focus.
- The line joining the sun to a planet sweeps out equal areas in equal times.
- The square of the period of revolution of a planet is proportional to the cube of the length of the major axis of its orbit.
Isaac Newton later realized that Kepler's laws are merely the biproduct of his 2nd law of motion and his law on universal gravitation. I use Newton’s laws to derive Kepler's laws, while making extensive use of vector functions, calculus, and the polar equation of an ellipse.
Later in the video, I calculate the distance a satellite needs to be from the equator of the Earth to have a geosynchronous orbit, in which the orbit of the satellite around the Earth is in sync with Earth's rotation. This type of orbit is sometimes referred to as the Arthur C. Clarke orbit, named after the famous author of 2001: A Space Odyssey, who popularized the orbit in a fictional novel in 1945. I also go over some very interesting connections surrounding Arthur C. Clarke, so buckle up!
#math #vectors #calculus #astronomy #keplerslaws
Timestamps:
- Intro – 0:00
- Calculus book reference – 1:08
- Calculus Book Chapter – 1:25
- Topics to cover – 2:53
- Kepler’s Laws of Planetary Motion – 3:51
- Proof of Kepler's First Law: Planet revolves around the Sun in an ellipse – 6:46
- Applied Project: Kepler's Laws – 1:15:15
- Problem 1: Prove Kepler's Second Law – 1:17:26
- Problem 2: Prove Kepler's Third Law – 1:20:11
- Problem 3: Length of Earth's Orbit – 1:21:44
- Problem 4: Geosynchronous Satellite – 1:22:29
- Solutions to the Applied Project
- Solution to Problem 1: Prove Kepler's Second Law – 1:23:49
- Solution to Problem 2: Prove Kepler's Third Law – 1:52:58
- Solution to Problem 3: Length of Earth's Orbit – 2:16:28
- Solution to Problem 4: Geosynchronous Satellite – 2:27:05
- More info on Arthur C. Clarke – 2:46:05
- Outro – 3:00:00
Notes and playlists:
- Summary: SOON
- PDF Notes: https://1drv.ms/b/c/88862ef47bcaf6cd/IQBB-MLn7NaERZF19kENFFUjAbBh7ZR_Qg_wQcBx0VB_Cb8
- Hive Notes: SOON
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FSh63mgXOKLQ41H4dkzbaY
- Vector Functions playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HQl7xTQBS_O8Te8PcpNm4U .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
3 hr 1 min - MES Math Q/A 63: What is the Aharonov-Bohm Effect?
https://3speak.tv/watch?v=mes/b9057978
If you have math related questions, I may have answers.May 20, 2026 Wednesday at 10:00 AM PST
#math #physics #science #electromagnetism #scalarwaves
- Summary: https://inleo.io/threads/view/mes/re-leothreads-3jblpxcf
- MES Math Q/A playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F1GgkU63uA9NIncxDS2q0-
- All Streams: https://www.youtube.com/@mes/streams .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
This stream is created with #PRISMLiveStudio2 hr 4 min - 🔬#MESExperiments 55: Faraday's Paradox using Individual Magnets
https://3speak.tv/watch?v=mes/fa262e25
In #MESExperiments 55 I once again demonstrate Faraday's Paradox, this time showing that rotating a strong magnet with a drill about it's polar axis doesn't move individual football shaped magnets. Each magnet is placed on a polished low friction glass mirror surface, and the football shape allows the magnets to freely rotate. Moving the strong magnet attached to the drill laterally easily moves the magnets, but rotating it barely even nudges the smaller magnets. This suggests that the magnetic field does not rotate about a spinning magnet.#physics #experiment #electromagnetism #faraday
Stay tuned for #MESExperiments 56...
Links unedited videos and more info:
- Unedited video: Spinning Magnet on a Drill doesn't rotate another Magnet:
- Unedited video: Magnetic Field Viewer and Detector on Magnets:
- Magnetic Isopotentials Explain the Faraday Paradox, Stern-Gerlach Experiment, and Atomic Orbitals: https://peakd.com/hive-128780/@mes/xdxcqhxk
- MES Experiment 36: Faraday's Paradox using Ferrofluid (and Iron Filings): https://peakd.com/hive-128780/@mes/hdmneruh
- MES Experiment 35: Faraday's Paradox using Iron Filings: https://peakd.com/hive-128780/@mes/jaezbche
Timestamps:
- Sawed off a bolt to attach a strong magnet to a drill – 0:00
- 3 small football-shaped magnets with south pole labeled – 0:06
- Magnet 1: Moves when drill is moved laterally but not when spinning – 0:21
- Magnet 2: Same result – 0:58
- Magnet 3: Same result even though the magnet is broken at one end – 1:40
- Magnetic pole detecting of the 3 magnets – 2:35
- Magnetic field viewing of all the magnets, including the pole detector – 2:46
Experiment screenshots and playlists:
- Screenshots: SOON
- Playlist: https://mes.fm/experiments-playlist
- Hive playlist: https://peakd.com/mesexperiments/@mes/list
- DRAFT experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0FfZ_7hUuyO7xN8lp5oaDiu .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
0 min - MES Math Q/A 62: What is Electrolysis?
https://3speak.tv/watch?v=mes/0664b8eb
If you have math related questions, I may have answers.May 6, 2026 Wednesday at 10:00 AM PST
#math #electrolysis #science #chemistry #coldfusion
- Summary: https://inleo.io/threads/view/mes/re-leothreads-g2wq1sbz
- MES Math Q/A playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0F1GgkU63uA9NIncxDS2q0-
- All Streams: https://www.youtube.com/@mes/streams .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
This stream is created with #PRISMLiveStudio2 hr 3 min - Definition and Notation of Infinite Series
https://3speak.tv/watch?v=mes/2957acdd
In this video, I go over infinite series (or just series), which is defined as the summation of the terms of an infinite sequence of numbers. If we add an infinite sequence of numbers whose terms are each greater than 1, then the sum goes to infinity. But if the terms are fractions, then in some cases the sum tends towards a finite limit. In this case, we obtain a convergent series — otherwise, if there is no finite sum, then the series is called divergent. A partial sum is the sum of a specific number of terms of a series. The actual sum is the limit of the partial sums as the terms approach infinity. This is similar to how the improper integral is defined.#math #calculus #series #sequences #education
Timestamps:
- Adding terms of an infinite sequence is called an infinite series or just a series – 0:00
- Adding infinite fractions of factors of 2 – 1:52
- Excel table calculating partial sums of the series and showing it approaches 1: https://1drv.ms/x/s!As32ynv0LoaIh8gwtUIvFFz4HKE0DA – 3:33
- If the partial sum of a series has a limit, then the series has a finite sum – 6:09
- Definition 1: A series is convergent if it has a sum; otherwise, it is divergent – 6:53
- Comparing infinite series to improper integrals – 9:47
Notes and playlists:
- 3Speak:
- Summary:
- Hive Notes: https://peakd.com/mathematics/@mes/laboratory-project-logistic-sequences
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FfxN_I9trdgSnWtJS-6wK1
- Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
0 min - Tangential and Normal Components of Acceleration as Derivatives of Position Vector + Example
https://3speak.tv/watch?v=mes/e0b98544
In this video, I rewrite our earlier equations for the tangential and normal components of acceleration to be in terms of the position vector and its derivatives. This simplifies and standardizes the components of acceleration and involves the dot product for the tangential acceleration and the cross product for the normal acceleration. Interestingly, the acceleration vector always lies on the osculating plane because it has no binormal component. The normal acceleration increases by a factor of velocity squared so that doubling the velocity multiplies the normal acceleration by 4 when along a curved path. I also go over an example of a moving particle to show how to obtain the components of acceleration in a straightforward way.#math #vectors #calculus #physics #education
Timestamps:
- Acceleration vector as tangential and normal components – 0:00
- Acceleration vector is always in the osculating plane (contains both tangent and normal vectors) – 1:00
- Normal component experiences greater acceleration in curved paths than does the tangential component – 3:29
- Take dot product of velocity and acceleration to try to get acceleration in terms of position vector and its derivatives – 6:36
- Use geometric equation of dot product to simplify results – 10:00
- Tangent component of acceleration in terms of derivatives of position vector – 14:00
- Normal component of acceleration in terms of derivatives of position vector (via curvature formula) – 15:50
- Example 7: Tangential and Normal Components of Acceleration of a moving particle – 18:54
- Solution: Get first and second derivatives of the position vector – 19:26
- Tangential acceleration component via dot product – 21:37
- Normal acceleration component via cross product – 23:33
- Solve magnitude of cross product to solve for normal acceleration component – 27:56
- Simplify terms to get final result – 29:15
Notes and playlists:
- 3Speak:
- Summary: https://inleo.io/threads/view/mes/re-leothreads-2kqnx3nxa
- Hive Notes: https://peakd.com/hive-128780/@mes/e443f9d3
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0Hxo8aPU3ezG0tcLvgJnxLB .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
31 min - Tangential and Normal Components of Acceleration
https://3speak.tv/watch?v=mes/5ce9a8c6
In this video, I write the vector equation of acceleration in terms of its unit tangent and unit normal vector components, which is useful when analyzing the motion of a particle along a curve. The unit normal vector is defined as the ratio of the tangent vector (derivative of the position vector) with its magnitude; hence, the length will be 1. Likewise, the unit normal vector is the derivative of the unit tangent vector divided by its magnitude. I use the equation for the curvature and derivative of velocity to obtain the acceleration in terms of the unit tangent and unit normal vectors. These components outline how much acceleration an object experiences in the direction of its current motion (tangent) and how much in the direction perpendicular to its motion (normal). This is useful in calculating the forces associated with such accelerations.#math #vectors #calculus #physics #education
Timestamps:
- Tangential and Normal Components of Acceleration – 0:00
- Recall the unit tangent, unit normal, and unit binormal vectors – 0:38
- Velocity in terms of the unit tangent vector T – 2:10
- Derivative of velocity obtains the acceleration vector in terms of T and T' – 4:26
- Recap on arc length and curvature – 5:31
- T' in terms of curvature – 7:32
- Unit normal tangent vector is defined in terms of T' – 9:11
- Acceleration in terms of tangential and normal components – 11:19
- Illustration of the components of acceleration – 13:44
- Length of the unit vectors is 1 – 16:33
Notes and playlists:
- 3Speak:
- Summary: https://inleo.io/threads/view/mes/re-leothreads-2rxhjzfsm
- Hive Notes: https://peakd.com/hive-128780/@mes/e443f9d3
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0Hxo8aPU3ezG0tcLvgJnxLB .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
0 min - 🔬#MESExperiments 54: SpillNot Centripetal Tray
https://3speak.tv/watch?v=mes/863a9706
In #MESExperiments 54, I showcase the amazing SpillNot centripetal waiter's tray, whose circular motion can balance a cup of water without spilling it over, even while performing a full 360 degrees upside down! The SpillNot works on the principle that circular motion involves a centripetal force that brings the tray back towards the centre of the circular motion — this results in the cup of water experiencing a normal force far directly onto the tray, which far exceeds the downwards force due to gravity. The most astonishing part is that even a straw placed in the cup barely even experiences any slight nudge as it moves at rapid speeds. I also place my phone in the tray with both front selfie camera and rear camera views to further illustrate this amazing phenomenon!#physics #experiment #centripetalforce #inertia
Stay tuned for #MESExperiments 55...
Links unedited videos and more info:
- SpillNot with a cup of water and a straw:
- SpillNot with a phone:
- SpillNot with Selfie Phone Camera:
- SpillNot with Rear Phone Camera: https://youtube.com/shorts/gmq7SmojWNw
- SpillNot website and science behind it: https://www.thespillnot.com/the-science
- Bruce Yeany centripetal / centrifugal tray tutorials: https://www.youtube.com/@YeanyScience/search?query=centripetal%20tray
Timestamps:
- SpillNot with a cup of water and a straw doesn't spill the water or nudge the straw – 0:00
- SpillNot with phone filming with selfie camera – 1:03
- SpillNot with phone filming with rear camera – 1:29
Experiment screenshots and playlists:
- 3Speak:
- Playlist: https://mes.fm/experiments-playlist
- Hive playlist: https://peakd.com/mesexperiments/@mes/list
- DRAFT experiments: https://www.youtube.com/playlist?list=PLai3U8-WIK0FfZ_7hUuyO7xN8lp5oaDiu .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
0 min - Example 6: Impact Speed of a Projectile Hitting the Ground
https://3speak.tv/watch?v=mes/ae000ba6
In this video, I determine the time a projectile is in the air, the distance it travels, and the speed it impacts the ground after being launched from 10 meters at an angle of 45 degrees and a speed of 150 m/s. I use the parametric equations of trajectory I derived in my earlier video, and set the y component equal to zero to obtain the time when the object hits the ground. Plugging in that specific time value into the x component yields the distance. To get the velocity, we take the derivative of the position vector and then obtain the speed using the same time value, which is 151 m/s, which is similar to the launch speed.#math #vectors #calculus #physics #education
Timestamps:
- Example 6: Find speed a projectile hits the ground – 0:00
- Solution: Adjust the parametric equations of trajectory by adding the initial height of launch – 0:40
- Plugging in our values into the parametric equations of trajectory – 3:56
- Exact trigonometric ratios for π/4 – 6:33
- Impact occurs when y = 0, which we can solve for t via the quadratic formula – 9:28
- Distance is the x value at y = 0 – 15:03
- Calculation check – 16:05
- Velocity is the derivative of the position vector – 18:26
- Speed at impact is 151 m/s – 21:10
- Calculation check – 22:50
Notes and playlists:
- 3Speak:
- Summary: https://inleo.io/threads/view/mes/re-leothreads-2bhxwpddd
- Hive Notes: https://peakd.com/hive-128780/@mes/e443f9d3
- Sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0Hxo8aPU3ezG0tcLvgJnxLB .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
0 min - MES Livestream 131: Dr. Judy Wood Discusses Evidence vs Theory on 9/11
https://3speak.tv/watch?v=mes/ea16592a
Dr. Judy Wood joins the show again, this time to go over her "theory" of starting from a clean slate and looking only at the evidence, because if you look at the evidence carefully enough, it will tell you what happened on 9/11.April 25, 2026 SATURDAY at 1 PM PST / 3 PM CST / 4 PM EST / 11 PM CAT / 21:00 GMT (UK)
#911Truth #DEW #dustification #technology #psyop
Trailer:
Stream notes and playlist:
- Summary: https://inleo.io/threads/view/mes/re-leothreads-2eqe3bbhq
- Notes: https://peakd.com/hive-113182/@mes/livestream-131-dr-judy-wood-evidence-theory-911-f99
- 9/11 Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0G_HHWt33moIqEeUBP3cgCh
- MES Livestreams: https://www.youtube.com/playlist?list=PLai3U8-WIK0FqwyUa_ICwTlqO0S6Y3kAn
- All streams: https://www.youtube.com/@mes/streams .
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fmHive: https://peakd.com/@mesEmail me: [email protected]
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fmMortgage Calculator: https://mortgagecalculator.mes.fmPercentage Calculator: https://percentagecalculator.mes.fmFree Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
This stream is created with #PRISMLiveStudio0 min
About mes 3Speak Podcast
From the publisher's feed
Listen and watch the latest videos from mes. Hosted by 3Speak.tv, the free speech video platform.