Monday, August 14, 2017

If you spin a wheel real fast, how big would it have to be for the outer perimeter to move at the speed of light?

Ok, some of you probably have wondered, "If I have a large enough wheel," would I be able to spin it fast enough for the outer diameter to move faster than the speed of light?  Well unfortunately you wouldn't because the laws of physics would prevent the wheel from spinning fast enough, but if it was possible for a wheel to spin at that speed, here's how big it would be.

Now its size would be dependent on RPMs or Revolutions Per Minute, which means the amount of times that the spinning object spins 360 degrees within 1 minute.  Now the lower the amount of RPMs a wheel spins at, the larger the wheel has to be for it's outermost perimeter to be travelling at the speed of light.  So we will use an RPM that someone actually was able to spin something at; so according to this website https://www.cnet.com/news/fastest-man-made-spinning-object-clocks-in-at-600m-rpm/ , the fastest spinning man-made object spins at 600,000,000 RPM.

So a quick Bing search indicates that the speed of light is exactly 299792458 Meters per second, but since RPMs are in Minutes, we will multiply that by 60 to get 17987547480 Meters per minute.

So now we want to take the circumference 17987547480 (the speed of light in Meters Per MInute) and convert it into a diameter.  this WILL TELL US THE DIAMETER WE NEED AT 1 RPM, NOT —THE DIAMETER AT 600,000,000 THAT'S OUR FINAL answer.— according to this website http://circumferencecalculator.net/circumference-to-diameter-calculator , Diameter=Circumference/pi or as it says on the website D = C/π.

So let's take 17987547480 (the speed of light in Meters per Minute) and divide by pi to get —about 5725614191.0843307106666780005284 Meters of diameter FOR 1 RPM.—  Since we're gonna be spinning the wheel at 600,000,000 RPM, we can take —the previous diameter— and divide by —600,000,000; the RPM we're using— to get our final answer; 9.5426903184738845177777966675473 Meters, but let's round that up to 9.543 Meters and convert it to feet by dividing it by .3048 (the amount of feet in a Meter) and we get our final answer:

About 31.30906 feet.

Here's the theorem:

((17987547480/pi)/rpm)/.3048=Diameter in feet

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