First! Also, if you like such videos and haven't already consider subscribing - lnkd.in/ggwZxJNk A new intuitive physics video every weekend (Almost). Next up - Biggest confusions on centripetal and centrifugal forces!
Thank you! Using the same trick, we can derive another version of centripetal acceleration: omega^2 x radius. In terms of why the direction of centripetal acceleration is always pointing toward the center, because the magnitude of velocity doesn't change. It is not getting faster or slower. If the acceleration(which is a vector too) has some component on the direction of velocity, then velocity magnitude will change. Therefore, centripetal acceleration must be perpendicular with the velocity.
This formula makes me feel confused. I always set the question (Why) in my mind. I tried to prove it by using calculus but it is so complicated. I figured out a lot of explanations about it and afterwards i am disappointed. Fortunately, I came across your video and it is the best thing I've seen. Thank you very much. It helps me a lot.
hi sir ...... I watched ur videos at khan academy... and fell in love with your teaching ..... and here I am, feeling guilty for stalking you on youtube ...... i really want to thank you for making me fall in love with science... luv yuh
I have a very simple but intuitive question. Why doesnt the object collapse into the point. Since the centripetal force is an acceleration is increasing with time it should get to a point where its high enough to pull the object towards its centre. For example: The electron in an atom if not for its stationary state it should be pulled towards the nucleus since the proton and nucleus attract but what keeps it moving in a circular path is the fact that they have fixed energy called stationary States so they can't lose energy. But objects in the real world dont have fixed energy level so what keeps them in circular path? Another example is that if we change the mechanics occurring on the body interms of force, The centripetal force will be the F=m×a but converting the objects tangential velocity into force its F=0 since it has no acceleration.Resolving the 2 forces the object is supposed to move towards the center so why does it still move circular
@@wikdipr2944this isn't proving its reasoning I think,the proof as well uses similar triangke concept of vector triangle and radius triangle but I don't know the calculus proof is there a name or a vedio about it as well?
thanks sir , great video but does this mean that if two cars travelling in a straight line (at different speeds) turn such that their velocities after the turn are in the same direction,then the change in velocity of the faster car will be more? (i dont know why but i expect them to be equal) Also sir please check the book Pathfinder for Physics, it has unique problems especially MCQs section
I don't really understand why the change in time is cut in half when the velocity is doubled, can't the velocity have changed by giving it increasing the displacement twice? Could anyone explain?
I really love how you explained things but I have a question. If you remove the proportionality sign, we still have to deal with constant k. Is that constant k simply 1?
Voltage is directly proportional to current. The formula of power just states that power is the product of voltage and current but it does not mean that if we increase the voltage, the current will decrease. This is because power is not a constant and thus when voltage increases, current also increases. Thus, if we double the voltage, the current will also be doubled and power will be 4 times the original magnitude.
Thanks Anjali. Aditya, I am wondering if this question came up while learning about transformers. In an ideal transformer, the input power = output power. And hence, when we step up the voltage, the current steps down - apparently at odds with Ohm's law. Is that the doubt, Aditya? If yes, Anjali I would love if you think you can deep dive into it.
@@Mahesh_Shenoy Yes sir, as far as I know, Ohm's Law is applied when we are considering only one circuit, and thus we should not compare the current generated in the primary and secondary coil by using Ohm's law. Here, the law of energy conservation steps in; the energy that each coulomb of charge gains in a second in the secondary coil is equal to the energy lost by each coulomb of charge in the primary coil each second. Thus, if the voltage is 5 times lesser in the secondary coil than the primary coil, the current needs to be 5 times faster than the current in the secondary coil. This is explained much more intuitively in a video on transformers by Mahesh Sir himself.
Hi, When we double the size of radius, the car passes longer arc length (new distance A to B) in same time as first car which is moving shorter arc length (old distance A to B), why is the change in velocity identical...
No no no, time taken is not the same.. the time taken increase as the length of arc increase and that's why the ratio of distance/time is same as before, which means the velocity is same as before...
But why is it V squared. Does it mean that the energy needed to equate acceleration centripetal for a velocity v would be equal to the same velocity but v^2.
For example, an object moves in a circular motion at a speed of 5m/s, this is the position vector. The velocity vector has magnitude of 5m/s and is tangential to the circle. The reason why acceleration is V squared is because the velocity vector is moving 5 times faster than the position vector hence 5^2.
The reason Velocity is squared is because the velocity vector changes at a rate x times the rate of the position vector and the position vector changes x times the rate of time, hence acceleration x^2 or v^2. With an increasing radius, the angle which the velocity vector changes decreases , so if radius is doubled, angle by which velocity vector changes is halved.
Ok but the truth is that the centripetal acceleration is directly proportional to Radius so how your intuition explanation in which you said that Centripetal acceleration is inversely proportional to radius will satisfy that..?
Ah, I think we need to be careful when we say it's 'directly proportional' to something. For a given linear speed, as you increase the radius, the centripetal acceleration decreases. It is inversely proportional. What you are probably talking about is when we consider a constant 'angular speed'. Like on a spinning disk. That's different. Because, on a spinning disk, things at different radii are moving with different velocities.
I had a doubt regarding magnetic field lines We say that field lines never cross since at the point of intersection the magnetic field will have two different directions, but why can't we take the vector sum of the field and calculate the resultant direction since they are vector quantities? I am a 10th grade student please help me out
"Two field lines never cross eachother other " means while crossing they do not have individual independent existence at same point. They actually merge ( add up According to vector sum ) to give a single new field line. Hope that helps
The reason Velocity is squared is because the velocity vector changes at a rate x times the rate of the position vector and the position vector changes x times the rate of time, hence acceleration x^2 or v^2.
It must be parallel as only magnitude of velocity is doubled direction of vectors still remain the same hence only length increases and new delta v is parallel
second part to explain time is unclear for me! bigger radius will push to do a longer distance in the same time! so speed should increase????? Visual proof in Khan University is better according to me!
Thumbnail - pointing to head -> has occult knowledge. Are you planning on going on spaceship in 2024? Tier 2 Satanists don’t get to go. Sorry take it up with your boss.
I have a very simple but intuitive question. Why doesnt the object collapse into the point. Since the centripetal force is an acceleration is increasing with time it should get to a point where its high enough to pull the object towards its centre. For example: The electron in an atom if not for its stationary state it should be pulled towards the nucleus since the proton and nucleus attract but what keeps it moving in a circular path is the fact that they have fixed energy called stationary States so they can't lose energy. But objects in the real world dont have fixed energy level so what keeps them in circular path? Another example is that if we change the mechanics occurring on the body interms of force, The centripetal force will be the F=m×a but converting the objects tangential velocity into force its F=0 since it has no acceleration.Resolving the 2 forces the object is supposed to move towards the center so why does it still move circular
Acceleration is not increasing firstly , it is constant. The reason an object is not pulled into the center of the circle is because centripetal force is balanced with centrifugal force.
