Density and volume

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Density and volume Anonymous 11/30/15 (Mon) 18:55:05 156220 No.142

'Sup, /puzzle/, I'm in need of help from the mathematically inclined.

I want to make iron plates for lifting exercises.

The dimensions are as follows:

>450 mm diameter of the plate

>34 mm diameter of the hole in the middle of the plate

Now, according to the known information, what would be the other dimensions of the plates with varying weight given that the above dimensions cannot be changed.

For a:

>25 kg plate

>20 kg plate

>15 kg plate

>10 kg plate

>5 kg plate

>2.5 kg plate

Thanks in advance.

Anonymous 12/02/15 (Wed) 10:46:08 f10bbd No.143

Do you know the exact alloy you are using? We need to know the density of the alloy to get going.

Anonymous 12/02/15 (Wed) 19:05:32 98df69 No.144

>>143

7850 kg/m^3

Anonymous 12/03/15 (Thu) 16:51:56 f10bbd No.145

>>144

For a solid cylindrical 20kg weight, the thickness is 16.11 mm. If you punch out a circular hole 159mm in diameter off of the centre hole, the weight is 2.5 kg lighter. If you add a 1.5 thickness outer flange down to a diameter of 319mm, the disk is 5 kg heavier.