Arectangular plate casting has dimensions 200mm x 100mm x 20mm. the riser for this sand casting mold is in the shape of a sphere. the casting takes 3.5mins to solidify. calculate the diameter of the riser so that it takes 20% longer for the riser to solidify

Diameter of riser =6.02 mm

Explanation:

Given that

Dimensions of rectangular plate is 200mm x 100mm x 20mm.

Volume of rectangle V= 200 x 100 x 20

Surface area of rectangle A

A=2(200 x 100+100 x 20 +20 x 200)

So V/A=7.69

We know that

Solidification times given as

  -----1

Lets take diameter of riser is d

Given that riser is in spherical shape so V/A=d/6

And

Time for solidification of rectangle is 3.5 min then time for solidificartion of riser is 4.2 min.

Lets take

Now from equation 1

So by solving this d=6.02 mm

So the diameter of riser is 6.02 mm.

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