DMCA
Contact
Privacy Policy

Home » You *Can’t* Escape 360—This Mind-Blowing Trick Will Leave You Stunned! - Sourci

You Can’t Escape 360—This Mind-Blowing Trick Will Leave You Stunned! - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

Content is being prepared. Please check back later.

📚 You May Also Like These Articles

📌 S = \frac{n}{2}(a + l) = \frac{12}{2}(0^\circ + 330^\circ) = 6 \cdot 330^\circ = 1980^\circ

📌 Thus, the sum of all distinct rotational symmetries is $ \boxed{1980^\circ} $.

📌 Question: A middle school student is building a robot with gears. One gear rotates 48 times per minute, and another rotates 72 times per minute. If both gears start aligned, after how many minutes will they align again?

📌 Solution: To find when the gears align again, we compute the least common multiple (LCM) of their rotation periods. Since they rotate at 48 and 72 rpm (rotations per minute), the time until alignment is the time it takes for each to complete a whole number of rotations such that both return to start simultaneously. This is equivalent to the LCM of the number of rotations per minute in terms of cycle time. First, find the LCM of the rotation counts over time or convert to cycle periods: The time for one rotation is $ \frac{1}{48} $ minutes and $ \frac{1}{72} $ minutes. So we find $ \mathrm{LCM}\left(\frac{1}{48}, \frac{1}{72}\right) = \frac{1}{\mathrm{GCD}(48, 72)} $. Compute $ \mathrm{GCD}(48, 72) $:

📌 Prime factorization: $ 48 = 2^4 \cdot 3 $, $ 72 = 2^3 \cdot 3^2 $, so $ \mathrm{GCD} = 2^3 \cdot 3 = 24 $.

📌 Thus, the LCM of the periods is $ \frac{1}{24} $ minutes? No — correct interpretation: The time until alignment is the least $ t $ such that $ 48t $ and $ 72t $ are both integers and the angular positions coincide. Actually, the alignment occurs at $ t $ where $ 48t \equiv 0 \pmod{360} $ and $ 72t \equiv 0 \pmod{360} $ in degrees per rotation. Since each full rotation is 360°, we want smallest $ t $ such that $ 48t \cdot \frac{360}{360} = 48t $ is multiple of 360 and same for 72? No — better: The number of rotations completed must be integer, and the alignment occurs when both complete a number of rotations differing by full cycles. The time until both complete whole rotations and are aligned again is $ \frac{360}{\mathrm{GCD}(48, 72)} $ minutes? No — correct formula: For two periodic events with periods $ T_1, T_2 $, time until alignment is $ \mathrm{LCM}(T_1, T_2) $, where $ T_1 = 1/48 $, $ T_2 = 1/72 $. But in terms of complete rotations: Let $ t $ be time. Then $ 48t $ rows per minute — better: Let angular speed be $ 48 \cdot \frac{360}{60} = 288^\circ/\text{sec} $? No — $ 48 $ rpm means 48 full rotations per minute → period per rotation: $ \frac{60}{48} = \frac{5}{4} = 1.25 $ seconds. Similarly, 72 rpm → period $ \frac{5}{12} $ minutes = 25 seconds. Find LCM of 1.25 and 25/12. Write as fractions: $ 1.25 = \frac{5}{4} $, $ \frac{25}{12} $. LCM of fractions: $ \mathrm{LCM}(\frac{a}{b}, \frac{c}{d}) = \frac{\mathrm{LCM}(a, c)}{\mathrm{GCD}(b, d)} $? No — standard: $ \mathrm{LCM}(\frac{m}{n}, \frac{p}{q}) = \frac{\mathrm{LCM}(m, p)}{\mathrm{GCD}(n, q)} $ only in specific cases. Better: time until alignment is $ \frac{\mathrm{LCM}(48, 72)}{48 \cdot 72 / \mathrm{GCD}(48,72)} $? No.

📌 Correct approach: The gear with 48 rotations/min makes a rotation every $ \frac{1}{48} $ minutes. The other every $ \frac{1}{72} $ minutes. They align when both complete integer numbers of rotations and the total time is the same. So $ t $ must satisfy $ t = 48 a = 72 b $ for integers $ a, b $. So $ t = \mathrm{LCM}(48, 72) $.

📌 $ \mathrm{GCD}(48, 72) = 24 $, so $ \mathrm{LCM}(48, 72) = \frac{48 \cdot 72}{24} = 48 \cdot 3 = 144 $.

🔥 Popular Posts

avoir passe compose
coelho
summary for chapter 6 lord of the flies
nervous tissue function
portfolio and project management
reagan's presidency
common law legal system vs civil law legal system
what is public administration
actin filaments
do you have to have an id to create linkedin

📝 Recent Posts

Solution: Take derivative $ A'(x) = -\frac{4}{x^2} - 2x $. Set $ A'(x)...
You Won’t Believe What Purple Hull Peas Can Do—Science Won’t Stop Surp...
Purple Hull Peas: The Secret Superfood You’ve Been Missing (Shocking B...
Shocking Facts About Purple Hull Peas You Need to Know Before They Tak...
How Purple Hull Peas Transformed Healthy Eating—Here’s the Amazing Sec...
Purple Hull Peas: The Unexpected Superfood That’s Taking Diet Frenzy b...
This Secret Purple Martin House Is Changing How Birds are Nests Availa...
Shocking Discovery: The Ultimate Purple Martin House Hauled Out Backya...
You Won’t Believe How Many Purple Martins Are Relocating to This Speci...
Purple Martin House Hacked: The Best Design for Attracting Swallows Ov...

© 2026 Sourci · Powered by WordPress

Disclaimer: This website operates exclusively as an informational archive. Content consists of publicly available international death records, condolence statements, and memorial information. The site does not publish real-time news coverage, live reporting, or entertainment content.