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Assoli18 [71]
3 years ago
15

A rectangular plate casting has dimensions 200mm x 100mm x 20mm. The riser for this sand casting mold is in the shape of a spher

e. The casting takes 3.5mins to solidify. Calculate the diameter of the riser so that it takes 20% longer for the riser to solidify
Engineering
1 answer:
9966 [12]3 years ago
3 0

Answer:

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 mm^3

Surface area of rectangle A

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

So V/A=7.69

We know that

Solidification times given as

t=K\left(\dfrac{V}{A}\right)^2   -----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 \dfrac{V}{A}=M

\dfrac{M_{rac}}{M_{riser}}=\dfrac{7.69}{\dfrac{d}{6}}

Now from equation 1

\dfrac{3.5}{4.2}=\left(\dfrac{7.69}{\dfrac{d}{6}}\right)^2

So by solving this d=6.02 mm

So the diameter of riser is 6.02 mm.

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