Thank you very much for this tutorial. I'm a self taught inventor and I have been designing a new type of electric motor, I have no prior professional training. I found this information very insightful, as I have to learn all this to explain how it works in my PPA patents.
I keenly followed this channel last year. I failed my mathematics in 2015 and decided to rewrite in 2022. Never went back to the classroom. I made TH-cam and this channel my friend and guess what, A1 and C4 in both core and elective mathematics respectively. A1 and B3 in chemistry and physics respectively. Thank you very much Sir. Best of all. Though I subscribed to a lot of channels. 🔥🔥🔥
@@MathAndScience THE UNDERSTANDING OF INERTIA/INERTIAL RESISTANCE ON BALANCE WITH THE FACT THAT ELECTROMAGNETISM/ENERGY IS GRAVITY (ON BALANCE): ELECTROMAGNETISM/energy is gravity ON BALANCE. The stars AND PLANETS are POINTS in the night sky, AND carefully consider what is the speed of light (c) ON BALANCE !!! Indeed, A PHOTON may be placed at the center of what is THE SUN (as A POINT, of course); AS the reduction of SPACE is offset by (or BALANCED with) the speed of light (c) ON BALANCE !!! ELECTROMAGNETISM/energy is then CLEARLY proven to be gravity ON BALANCE. E=mc2 is directly and fundamentally derived from F=ma. Indeed, this explains the fourth dimension and the term c4 from Einstein's field equations !!!! (Stellar clustering ALSO proves ON BALANCE that ELECTROMAGNETISM/energy is gravity.) So, on balance, I have CLEARLY explained why THE PLANETS (including WHAT IS THE EARTH AND the Moon) move away very, very, very slightly in relation to what is THE SUN; as ELECTROMAGNETISM/energy is gravity ON BALANCE !!! Accordingly, the rotation of WHAT IS THE MOON matches it's revolution. Gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites (ON BALANCE), as ELECTROMAGNETISM/energy is gravity (ON BALANCE). Great. Carefully consider what is THE EARTH/ground ON BALANCE in relation to what is THE EYE. Think about TIME. Great. Gravity is ELECTROMAGNETISM/energy ON BALANCE. Gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, as ELECTROMAGNETISM/energy is gravity ON BALANCE; as this is consistent with E=mc2 AND F=ma !!!!!! Accordingly, ON BALANCE, the rotation of WHAT IS THE MOON matches it's revolution. I have explained why the orange and setting Sun is the same size as the fully illuminated and setting Moon. (They are both the same size as what is THE EYE, AND they manifest at EYE LEVEL/body height !!) I have mathematically unified physics. I have explained the cosmological redshift, the black hole(s), AND the supergiant stars. I have explained why there is something instead of nothing ON BALANCE !!!!!. Indeed, inertia/INERTIAL RESISTANCE is proportional to (or BALANCED with/as) GRAVITATIONAL force/ENERGY; as this balances gravity AND inertia/INERTIAL RESISTANCE; as ELECTROMAGNETISM/energy is gravity ON BALANCE. This explains E=mc2 AND F=ma ON BALANCE. This NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE, as ELECTROMAGNETISM/energy is gravity ON BALANCE. Think about the man (THE EYE) who actually IS IN outer “space” in careful comparison to/with what is THE MAN (AND THE EYE) who actually IS standing on WHAT IS THE EARTH/ground ON BALANCE !!!!!. Think about TIME. Magnificent. (So, you want to think about TIME AND WHAT IS THE EARTH/ground ON BALANCE !!!!!.) Fantastic !!!! ELECTROMAGNETISM/energy is gravity ON BALANCE, as it ALL CLEARLY makes perfect sense; as ELECTROMAGNETISM/energy is gravity ON BALANCE !!!!!. (Notice that the sky is blue, and THE EARTH is ALSO BLUE !!!) Great. What we have here is top to bottom perfection. Notice that time is, ON BALANCE, necessarily possible/potential AND actual IN BALANCE, as ELECTROMAGNETISM/energy is gravity ON BALANCE !!!! SO, ON BALANCE, TIME dilation ULTIMATELY proves that ELECTROMAGNETISM/energy is gravity ON BALANCE !!!!!!! BALANCE AND completeness go hand in hand. Great. It is ALL CLEARLY proven. I have mathematically unified physics two times over !!!!!. I have proven that, how, and why ELECTROMAGNETISM/energy is (NECESSARILY AND CLEARLY) gravity ON BALANCE, thereby explaining why there is something instead of nothing (in and WITH TIME ON BALANCE) !!!!! Again, this NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE (in and WITH what is TIME ON BALANCE as well); as gravity is CLEARLY proven to be ELECTROMAGNETISM/energy ON BALANCE !!!!. Remember, with regard to TIME as well, the stars AND PLANETS are POINTS in the night sky. (It ALL CLEARLY makes perfect sense.) Don't forget to consider the speed of light (c) ON BALANCE. SO, TIME dilation ULTIMATELY proves ON BALANCE that ELECTROMAGNETISM/energy is gravity ON BALANCE. (Gravity is ELECTROMAGNETISM/energy ON BALANCE !!!!) It ALL CLEARLY makes perfect sense, as BALANCE AND completeness go hand in hand. I have mathematically unified physics two times over. The ultimate mathematical unification (AND UNDERSTANDING) of physics/physical experience combines, BALANCES, AND INCLUDES opposites, AS ELECTROMAGNETISM/energy is gravity ON BALANCE !!!!!! The integrated extensiveness of THOUGHT AND description is improved in the truly superior MIND. It's called top down thinking !!!! By Frank DiMeglio
Many people wonder why radians do not appear when we have radians*meters (rad • m). Here is an attempt at an explanation: Let s denote the length of an arc of a circle whose radius measures r. If the arc subtends an angle measuring β = n°, we can pose a rule of three: 360° _______ 2 • 𝜋 • r n° _______ s Then s = (n° / 360°) • 2 • 𝜋 • r If β = 180° (which means that n = 180, the number of degrees), then s = (180° / 360°) • 2 • 𝜋 • r The units "degrees" cancel out and the result is s = (1 / 2) • 2 • 𝜋 • r that is, half of the circumference 2 • 𝜋 • r s = 𝜋 • r If the arc subtends an angle measuring β = θ rad, we can pose a rule of three: 2 • 𝜋 rad _______ 2 • 𝜋 • r θ rad _______ s Then s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r If β = 𝜋 rad (which means that θ = 𝜋, the number of radians), then s = (𝜋 rad / 2 • 𝜋 rad) • 2 • 𝜋 • r The units "radians" cancel out and the result is s = (1 / 2) • 2 • 𝜋 • r that is, half of the circumference 2 • 𝜋 • r s = 𝜋 • r If we take the formula with the angles measured in radians, we can simplify s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r s = θ • r where θ denotes the number of radians (it does not have the unit "rad"). θ = β / (1 rad) and θ is a dimensionless variable [rad/rad = 1]. However, many consider θ to denote the measure of the angle and for the example believe that θ = 𝜋 rad and radians*meter results in meters rad • m = m since, according to them, the radian is a dimensionless unit. This solves the problem of units for them and, as it has served them for a long time, they see no need to change it. But the truth is that the solution is simpler, what they have to take into account is the meaning of the variables that appear in the formulas, i.e. θ is just the number of radians without the unit rad. Mathematics and Physics textbooks state that s = θ • r and then θ = s / r It seems that this formula leads to the error of believing that 1 rad = 1 m/m = 1 and that the radian is a dimensionless derived unit as it appears in the International System of Units (SI), when in reality θ = 1 m/m = 1 and knowing θ = 1, the angle measures β = 1 rad. In the formula s = θ • r the variable θ is a dimensionless variable, it is a number without units, it is the number of radians. When confusing what θ represents in the formula, some mistakes are made in Physics in the units of certain quantities, such as angular speed. My guess is that actually the angular speed ω is not measured in rad/s but in (rad/rad)/s = 1/s, s^(-1).
i dont understand the part in the 1st problem where we're calcutaing the rotational speed. most importatly i dont understand how we found the mesurements in cm/min when we didnt even have the time. most importantly i dont seem to understand how did delta theta equate to 2pi.
You always complain about drawing terrible circles on the x y plane, but I notice you draw a decent freehand circle. Next time you want to draw one on the x y plane draw the circle first & then put the lines. I've been taking notes on how you do the unit conversions. 👍
Around 23:10, there is 25cm and Pi rad/min, and when you multiply them somehow the rad is cancelled out and no longer there. Does anyone know why this happens? Thank you!
Could it be that cm * (rad / min) = cm / min and the unit "rad" disappears? My guess is that actually the angular speed ω is not measured in rad / min but in (rad / rad) / min = 1 / min. If we say that the measure α of the angle is θ radians, we mean α = θ rad, and θ is the number of radians (it does not have the unit "rad"). For emphasis we can say that θ is measured in rad / rad, since θ = α / (1 rad) and θ is a dimensionless variable.
When we use mathematical formulas to obtain formulas in Physics, we have to know what the variables represent. What I consider a mistake, is present in the literature, it is not only in this video. Therefore, I will leave another comment with the detailed information to be examined.
![What are Periodic Functions & Even/Odd Functions? - [2-21-5]](http://i.ytimg.com/vi/ByasxGoakks/mqdefault.jpg)
![What are Periodic Functions & Even/Odd Functions? - [2-21-5]](/img/tr.png)
![Add, Subtract, Multiply, Divide Imaginary & Complex Numbers - [1]](/img/n.gif)
Thankyou Sir. Another Superb lesson from the best teacher
My pleasure and thank you!
Thank you very much for this tutorial. I'm a self taught inventor and I have been designing a new type of electric motor, I have no prior professional training. I found this information very insightful, as I have to learn all this to explain how it works in my PPA patents.
I keenly followed this channel last year. I failed my mathematics in 2015 and decided to rewrite in 2022. Never went back to the classroom. I made TH-cam and this channel my friend and guess what, A1 and C4 in both core and elective mathematics respectively. A1 and B3 in chemistry and physics respectively. Thank you very much Sir. Best of all. Though I subscribed to a lot of channels. 🔥🔥🔥
Thanks my dear teacher
A hero, the more I like his stories or his more useful lessons, the more.
me proud to be like him. God bless you. ❤️❤️👑👑
Thank you! 😃
@@MathAndScience THE UNDERSTANDING OF INERTIA/INERTIAL RESISTANCE ON BALANCE WITH THE FACT THAT ELECTROMAGNETISM/ENERGY IS GRAVITY (ON BALANCE):
ELECTROMAGNETISM/energy is gravity ON BALANCE. The stars AND PLANETS are POINTS in the night sky, AND carefully consider what is the speed of light (c) ON BALANCE !!! Indeed, A PHOTON may be placed at the center of what is THE SUN (as A POINT, of course); AS the reduction of SPACE is offset by (or BALANCED with) the speed of light (c) ON BALANCE !!! ELECTROMAGNETISM/energy is then CLEARLY proven to be gravity ON BALANCE. E=mc2 is directly and fundamentally derived from F=ma. Indeed, this explains the fourth dimension and the term c4 from Einstein's field equations !!!! (Stellar clustering ALSO proves ON BALANCE that ELECTROMAGNETISM/energy is gravity.) So, on balance, I have CLEARLY explained why THE PLANETS (including WHAT IS THE EARTH AND the Moon) move away very, very, very slightly in relation to what is THE SUN; as ELECTROMAGNETISM/energy is gravity ON BALANCE !!! Accordingly, the rotation of WHAT IS THE MOON matches it's revolution. Gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites (ON BALANCE), as ELECTROMAGNETISM/energy is gravity (ON BALANCE). Great. Carefully consider what is THE EARTH/ground ON BALANCE in relation to what is THE EYE. Think about TIME. Great. Gravity is ELECTROMAGNETISM/energy ON BALANCE. Gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, as ELECTROMAGNETISM/energy is gravity ON BALANCE; as this is consistent with E=mc2 AND F=ma !!!!!! Accordingly, ON BALANCE, the rotation of WHAT IS THE MOON matches it's revolution. I have explained why the orange and setting Sun is the same size as the fully illuminated and setting Moon. (They are both the same size as what is THE EYE, AND they manifest at EYE LEVEL/body height !!) I have mathematically unified physics. I have explained the cosmological redshift, the black hole(s), AND the supergiant stars. I have explained why there is something instead of nothing ON BALANCE !!!!!. Indeed, inertia/INERTIAL RESISTANCE is proportional to (or BALANCED with/as) GRAVITATIONAL force/ENERGY; as this balances gravity AND inertia/INERTIAL RESISTANCE; as ELECTROMAGNETISM/energy is gravity ON BALANCE. This explains E=mc2 AND F=ma ON BALANCE. This NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE, as ELECTROMAGNETISM/energy is gravity ON BALANCE.
Think about the man (THE EYE) who actually IS IN outer “space” in careful comparison to/with what is THE MAN (AND THE EYE) who actually IS standing on WHAT IS THE EARTH/ground ON BALANCE !!!!!. Think about TIME. Magnificent. (So, you want to think about TIME AND WHAT IS THE EARTH/ground ON BALANCE !!!!!.) Fantastic !!!! ELECTROMAGNETISM/energy is gravity ON BALANCE, as it ALL CLEARLY makes perfect sense; as ELECTROMAGNETISM/energy is gravity ON BALANCE !!!!!. (Notice that the sky is blue, and THE EARTH is ALSO BLUE !!!) Great. What we have here is top to bottom perfection. Notice that time is, ON BALANCE, necessarily possible/potential AND actual IN BALANCE, as ELECTROMAGNETISM/energy is gravity ON BALANCE !!!! SO, ON BALANCE, TIME dilation ULTIMATELY proves that ELECTROMAGNETISM/energy is gravity ON BALANCE !!!!!!! BALANCE AND completeness go hand in hand. Great.
It is ALL CLEARLY proven. I have mathematically unified physics two times over !!!!!. I have proven that, how, and why ELECTROMAGNETISM/energy is (NECESSARILY AND CLEARLY) gravity ON BALANCE, thereby explaining why there is something instead of nothing (in and WITH TIME ON BALANCE) !!!!! Again, this NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE (in and WITH what is TIME ON BALANCE as well); as gravity is CLEARLY proven to be ELECTROMAGNETISM/energy ON BALANCE !!!!. Remember, with regard to TIME as well, the stars AND PLANETS are POINTS in the night sky. (It ALL CLEARLY makes perfect sense.) Don't forget to consider the speed of light (c) ON BALANCE. SO, TIME dilation ULTIMATELY proves ON BALANCE that ELECTROMAGNETISM/energy is gravity ON BALANCE. (Gravity is ELECTROMAGNETISM/energy ON BALANCE !!!!) It ALL CLEARLY makes perfect sense, as BALANCE AND completeness go hand in hand. I have mathematically unified physics two times over. The ultimate mathematical unification (AND UNDERSTANDING) of physics/physical experience combines, BALANCES, AND INCLUDES opposites, AS ELECTROMAGNETISM/energy is gravity ON BALANCE !!!!!! The integrated extensiveness of THOUGHT AND description is improved in the truly superior MIND. It's called top down thinking !!!!
By Frank DiMeglio
Thank you for this lesson
Viewers ,applaud this man....hail man
Thank you as always you are the best!
Thank you too!
That was a great lesson.
This lesson is so... GOOD!!
Thank you for all your excellent videos. I am going through all of them for knowledge and revision.
Glad you like them!
Excelente maestro de ciencias físicas y matemáticas.
Best lesson❤
Much respect as always 💯 professor 🙏 coz you boost my knowledge upper 💯
I appreciate that
This new year incredible come up with something more powerful thank you so much incredible!!!
Happy new year!!
Thanks professor you literally saved my exam ❤❤
Many people wonder why radians do not appear when we have radians*meters (rad • m).
Here is an attempt at an explanation:
Let s denote the length of an arc of a circle whose radius measures r.
If the arc subtends an angle measuring β = n°, we can pose a rule of three:
360° _______ 2 • 𝜋 • r
n° _______ s
Then
s = (n° / 360°) • 2 • 𝜋 • r
If β = 180° (which means that n = 180, the number of degrees), then
s = (180° / 360°) • 2 • 𝜋 • r
The units "degrees" cancel out and the result is
s = (1 / 2) • 2 • 𝜋 • r
that is, half of the circumference 2 • 𝜋 • r
s = 𝜋 • r
If the arc subtends an angle measuring β = θ rad, we can pose a rule of three:
2 • 𝜋 rad _______ 2 • 𝜋 • r
θ rad _______ s
Then
s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r
If β = 𝜋 rad (which means that θ = 𝜋, the number of radians), then
s = (𝜋 rad / 2 • 𝜋 rad) • 2 • 𝜋 • r
The units "radians" cancel out and the result is
s = (1 / 2) • 2 • 𝜋 • r
that is, half of the circumference 2 • 𝜋 • r
s = 𝜋 • r
If we take the formula with the angles measured in radians, we can simplify
s = (θ rad / 2 • 𝜋 rad) • 2 • 𝜋 • r
s = θ • r
where θ denotes the number of radians (it does not have the unit "rad").
θ = β / (1 rad)
and θ is a dimensionless variable [rad/rad = 1].
However, many consider θ to denote the measure of the angle and for the example believe that
θ = 𝜋 rad
and radians*meter results in meters
rad • m = m
since, according to them, the radian is a dimensionless unit. This solves the problem of units for them and, as it has served them for a long time, they see no need to change it. But the truth is that the solution is simpler, what they have to take into account is the meaning of the variables that appear in the formulas, i.e. θ is just the number of radians without the unit rad.
Mathematics and Physics textbooks state that
s = θ • r
and then
θ = s / r
It seems that this formula leads to the error of believing that
1 rad = 1 m/m = 1
and that the radian is a dimensionless derived unit as it appears in the International System of Units (SI), when in reality
θ = 1 m/m = 1
and knowing θ = 1, the angle measures β = 1 rad.
In the formula
s = θ • r
the variable θ is a dimensionless variable, it is a number without units, it is the number of radians.
When confusing what θ represents in the formula, some mistakes are made in Physics in the units of certain quantities, such as angular speed.
My guess is that actually the angular speed ω is not measured in rad/s but in
(rad/rad)/s = 1/s, s^(-1).
Fantastic video
Thanks! 😃
Thank you very much, your videos are great and very informative.
So, in meteorology, we call small omega "upward motion", "vertical motion" or "lift"
THANK YOU... SIR...!!!
Hey Sir i just want to confirm from you if the term "Rotational speed" is used interchangeably with "Linear speed" in ths section.
i dont understand the part in the 1st problem where we're calcutaing the rotational speed. most importatly i dont understand how we found the mesurements in cm/min when we didnt even have the time.
most importantly i dont seem to understand how did delta theta equate to 2pi.
Thank you so much!!
You're welcome!
Nice 👍
If two objects rotating in concentric circles, complete one rotation at the same time. Does it mean that they travel with the same angular speed?
Yes absolutely! Let’s say they each complete 360 degrees in 1 second. Then each circle would have angular speed of 360 deg/sec
You are my best friend 🥲 thank you
You always complain about drawing terrible circles on the x y plane, but I notice you draw a decent freehand circle. Next time you want to draw one on the x y plane draw the circle first & then put the lines.
I've been taking notes on how you do the unit conversions. 👍
Awesome thanks!
Around 23:10, there is 25cm and Pi rad/min, and when you multiply them somehow the rad is cancelled out and no longer there. Does anyone know why this happens? Thank you!
Could it be that cm * (rad / min) = cm / min and the unit "rad" disappears? My guess is that actually the angular speed ω is not measured in rad / min but in (rad / rad) / min = 1 / min.
If we say that the measure α of the angle is θ radians, we mean α = θ rad, and θ is the number of radians (it does not have the unit "rad").
For emphasis we can say that θ is measured in rad / rad, since θ = α / (1 rad) and θ is a dimensionless variable.
When we use mathematical formulas to obtain formulas in Physics, we have to know what the variables represent.
What I consider a mistake, is present in the literature, it is not only in this video. Therefore, I will leave another comment with the detailed information to be examined.
Where were you 4 years ago?? 🥺🥺🥺
Still losing my hair :)