Reacting to Veritasium: The SAT Question Everyone Got Wrong
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- čas přidán 30. 11. 2023
- mathematicsonline.etsy.com
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I really enjoyed the video on Veritasiums channel that I wanted to enjoy it again by making a reaction video.
link to video:
• The SAT Question Every...
#educational #mathematics #learn #funmath #maths
Its actually quite simple to understand. The total number of revolutions coin A makes is equal the number of revolutions it makes about its own center and the number of revolutions it makes around coin B. So it makes 3 revs about its own center and 1 rev around coin B. Thus the answer is 4. If we were trying to figure out the total angular velocity of coin A, we would add its angular velocity about its own center and its angular velocity around coin B. Same concept. The problem with the SAT question is that it did not specify which center of rotation to use.
Monday tails and Tuesday tails is THE SAME EVENT. If the coin is thrown 100 times, she will wake up 150 times. 50 times Monday head. 50 times Monday tails, 50 times Tuesday tails. HOWEVER. The Tails events each only count as half an event. Because both result from THE SAME COIN TOSS.
There is a very simple method of checking this. Pick an arbitrary number that fits the ratio (really doesn't make a difference), and then find the circumference while ignoring Pi (since it exists on both sides of the equation it cancela out). Say 1 & 3 like the question says in the beginning. 2*Pi*r for cimfumfurence becomes 2r, so you get 2 & 6. Divide B by A to get the travel path and you get 3. The question is really just a roundabout way of asking "how many of circle A's circumference do you need to form circle B's."
Super Very Intersting video 👌👌👌
(R + r)/r where R = large radius and r = small radius. (3 + 1)/1 = 4.
Marvelous explanation :)
Analogous to spin in electron lol
At 0:28 the video says there may be more than one answer. Indeed, as soon as the restriction is discarded that the reference frame should not be rotating, an infinite number of answers get possible. By adjusting the rotation frequency of the reference frame, all real numbers can be obtained! In a nonrotating reference frame, however, the only answer is 4..
The part that blew my mind is that earth time and astronomical time are different!!!
Keep it up
I thought 4 but the thumbnail did not include that 😡
They should open a dictionary. It's easy to solve anything if you change the question to fit your answer. By definition of a revolution, the number 3 is correct. Perfect analogy are gears or a wheel because as circle A the wheel would make only 3 REVOLUTIONS on circle B's circumference line, it literally can't make 4. Just because circle A looks like it made an extra full revolution from our perspective, doesn't mean it did. The only reason it looks like so is because, relative to us, circle A is literally getting pivoted full 360° once every time it travels circle B's full circumference. At 180° point circle A looks to us like a flipped version of what it looks like to circle B. If you make an upright square image travel forward on any circles circumference, it would literally get flipped for us at the half way point without making even a fraction of a revolution, that's why for that circle the image stays upright the whole time.
*Not "perspective" - "FRAME OF REFERENCE"!...*
The question still remains, though: "Yes, but why?..."
(And even goes deeper: "Why does an (apparently) simple counting exercise end up depending on the frame of reference chosen?? And why couldn't we see that coming?"