In the formula Acs = (1 / 2) • θ • r^2 the θ denotes the number of radians (it does not have the unit "rad").
@arandajohnkena.93
2 жыл бұрын
Good day to you, Professor Jeffrey Del Mundo. Thank you for the video lesson. Watching from STEM - 1107
@user-wu2rm3bh4y
6 ай бұрын
Many people wonder why radians do not appear when we have radians*meters. 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 s = 𝜋 • r that is, half of the circumference 2 • 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 s = 𝜋 • r that is, half of the circumference 2 • 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 led 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).
@ivanaalawi682
3 жыл бұрын
It’s Maths time nmn always supporting ur channel po
@raymondallenjhangiani7670
2 ай бұрын
Beautiful explanation 🙏
@rasmineleid.yambao1979
3 жыл бұрын
Very useful and helpful po, thankyouu Sir!❤️
@gigantoneandre532
3 жыл бұрын
Thank you po Prof D sa vids!
@palomoarielo.7355
2 жыл бұрын
Good day prof D thank you po for the video lesson
@domalantamarthamaeb.stem1191
2 жыл бұрын
Thank you for this video lesson, Sir.
@cayabyabjanelleannev.5439
2 жыл бұрын
Thank you po Prof D, learn po so much!
@deaearlarididon8324
3 жыл бұрын
thank you po, Prod D!! 💚
@mayorma.jhanas.7880
2 жыл бұрын
Thank you po, Prof D! Watching from STEM 1107
@icayyyu
3 жыл бұрын
Maraming salamat po💞
@angelmedico4693
3 жыл бұрын
Thank you po Prof D!
@carmizamorro7018
Жыл бұрын
This really helps me ngayun sir thankyou so much! Permission to use ur example problems sir for academic purposes
@cjpl9440
2 ай бұрын
really helpful thank you
@princefrancisemilz.capili754
3 жыл бұрын
Salamat po ng marami sir.
@asobu777
2 жыл бұрын
Thank you very much po Sir.It really help me a lot.
@JadeAnneGAmba
3 жыл бұрын
Thank you po Sir!!💖
@ce-1e_miguelvalenzuela611
3 жыл бұрын
Thanks po ProfD!
@andreadullavin9050
2 жыл бұрын
Done watching! Thank you for making this video lesson, Prof D. You made math fun and easy to learn. ♡♡ Student from Gas 1111 - Dullavin, Andrea N.
@CharminePastolero
2 жыл бұрын
Thank you po for this video lesson, Prof D. Watching from STEM 1107
@adrianbautista5526
3 жыл бұрын
Thank you po, Sir!!!!
@jemimahsalamat6630
3 жыл бұрын
thank you po ng marami, sir!
@_khionne
2 жыл бұрын
THANK YOU SO MUCH, SIR!! DONE WATCHING FROM STEM 1107.
@reyvincentbergado2479
3 жыл бұрын
Salamat po sir!! ♥️
@irishannh.bobadilla8459
3 жыл бұрын
Salamat po sir 💚
@alfonsojr.tvvlog
3 жыл бұрын
Another interesting content ,waiting for this from TEAM CHALLENGER,,,godbless always!!!!!
@jermelynbotabara2630
3 жыл бұрын
Thank you po sir!🤍
@richreignrevina9240
3 жыл бұрын
Salamat po, Sir!
@annatashaordinario6869
3 жыл бұрын
Thank you po sir!!🧡
@borjafrancisadriantorres3629
2 жыл бұрын
Done watching, Thankyou for this video lesson! Prof D GAS- 1110
@canoyapplegrace2804
2 жыл бұрын
Done watching! Thank you for this video lesson, prof D! From STEM 1107
@khimfetalvero16
3 жыл бұрын
SALAMAT PO, SIR!
@YullieQ
3 жыл бұрын
Hello sir..dito na nman ang estudyante mong may sakit sa limot pagdating sa numbers...team challenger
@danmichaelquizon5178
2 жыл бұрын
Done Watching! Thank you for the lesson, Prof D! Quizon, Dan Michael Gas 1109
@emmapansib6790
3 жыл бұрын
Thank you po sir!❤️
@christinepili5226
2 жыл бұрын
Done watching! Thank you for making this video lesson Prof D. Pili, Christine Anne Bernadette B. GAS-1111
@angelicaaragon4761
3 жыл бұрын
Thank you Sirrr! 💜💜💜
@zamorairenee.6052
2 жыл бұрын
Done watching from STEM 1107. Thank you Prof D!.
@jorgeberylcolumna4392
3 жыл бұрын
Thank you so much po, Prof D!
@culiscedrickclarkm.3369
3 жыл бұрын
thank you, prof d!
@doitvivienne
8 ай бұрын
Na gets ko talaga sir 🎉
@pata.7004
2 жыл бұрын
Pano po malalaman if you need to solve it in degree measure or radian measure?
@ce1e_palma704
3 жыл бұрын
Salamat sir!! 🤍
@johannahkayegubaton5112
3 жыл бұрын
Thank you po, Sir.
@michelleanneperez6231
3 жыл бұрын
salamat po!!💙💙
@yancyarguedo6059
3 жыл бұрын
Thank you, sir!
@jhonathanbufete8552
3 жыл бұрын
Thank you for this sir!! 🤍🤍🤍
@adreancasantusan5828
3 жыл бұрын
thank you po sir!✨💗
@teruelprincessellanie4012
3 жыл бұрын
Thanks po!💚
@markedo4824
3 жыл бұрын
Thank You Sir!
@maryjanetruilen4368
3 жыл бұрын
Thank you po, sir💜
@wryhae
2 жыл бұрын
From STEM 1107, done watching po. Thank you po for the lesson Prof D. !
@allenjudebase9286
2 жыл бұрын
GAS 1109 Allen Jude L Base Good day! Thank you po sa new lesson...
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