3 ms·

Only because you're using metric seconds instead of "imperial seconds" (the time it takes for a 1 foot long pendulum to complete a full oscillation).

• eigenket 2y ago
  Sure, if you change either of the units you can always change the other one to fix the equation again.
  • koolala 2y ago
    But does it work when you use the right Imperial technique?
    • ValentinA23 2y ago
      If I come up with my own measuring unit, let's call it the sneezle (whatever the actual length I assign to it) I will be able to also define a duration unit (say, the snifflebeat) based on the time it takes for a pendulum one sneezle long to complete a full oscillation, and vice versa I can define the sneezle by adjusting the length of a pendulum so that it oscillates in two snifflebeats. Here are the maths: T = 2π√(l/g) T/2π = √(l/g) (T/2π)^2=l/g g = l/(T/2π)^2 g = l/(T^2/4π^2) = 4π^2xl/T^2 Now substitue T with 2 and l with 1 an you get g = 4π^2x1/2^2 = π^2 It doesn't matter what the pair of units assigned to T and l are. However, they'll be interrelated. There is nothing arbitrary, and no coincidences behind g =~ π^2. It just requires to do some history of metrology and some basic maths/physics. If you want to discuss coincidences, may I suggest you to comment on this remark I made and which hasn't received any attention yet ? https://news.ycombinator.com/item?id=41209612 https://news.ycombinator.com/item?id=41209612
      • koolala 2y ago
        Different planets, Different Sneezle length, Same Sneezle Beat I'll try to see these units you linked thanks