On the problem of paper tube

Here is a tape calculator, which is similar to the landlord's problem.

We can use the mathematical formula to calculate how many meters more adhesive tape per 1 cm of 7 mm paper tube than 3 mm paper tube?

If the tape thickness is the same,

From the above figure, we can easily calculate that a 7 mm paper tube is 4 mm thicker than a 3 mm paper tube, that is, its diameter is 8 mm more, which is 8÷ 1000=0.008 m when converted into meters.

In terms of perimeter, how many meters is the tape of 7 mm paper tube more than that of 3 mm paper tube? That is, 3.14× 0.008 = 0.02512m.

1 cm glue thickness How many loops of tape are there? As we said above, the total thickness of the tape is 50 microns, but for those tapes doped with impurities, then everyone should understand why they are doped with impurities!

1 cm = 1 0mm = 10000 micron, that is to say1cm of pure tape roll 10000÷50=200 turns. How much tape does 7 mm paper tube have more than 3 mm paper tube? We can calculate the number of meters per lap multiplied by the number of laps =200×0.025 12=5.024 meters, which means that the adhesive thickness of the tape with an outer ring of 4 mm is only more than 5 meters per cm, but if we only compare it from the outer diameter, the size of the tape is very different. No wonder everyone wants to make the paper tube bigger, and the purpose is not to roll less tape.