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The physics of lane line reels


CharlieEckert

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So at yesterdays practice my coach made us take out the lane lines and put them on the reel after practice. As we spin the reel, the reel becomes increasing difficult to spin because the additional mass of the lane lines. StorLane.jpg

I decided it would be a great blog post to find out how much the moment of inertia changes for the reel once all of the lane lines are put on. I’m going to make some rough estimates on the dimensions of the reel since I couldn’t find them online and I can’t go in and measure them right now. I’m going to assume the rod going through the middle of the reel is .1m in radius and the radius of the when the reel is full, the maximum radius of the lane lines to the rotating axis is .75m. Now the reel is really light and spins easily when empty so I’m going to just assume that the moment of inertia is zero initially. The moment of inertia of a Cylinder with a hole in the middle is (1/2)M(a2+b2) where a and b and the radiuses of the cylinder. The mass of each lane line is 33.1 kg and there are 7 lane lines for a total mass of about 232 kg. Therefore the moment of inertia is (1/2)(232)(.12+.752) or 66.4 kg*m2. No wonder my arms hurt so much after spinning the reel.

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