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11hw4-4feb-Soln

# 11hw4-4feb-Soln - EML4321HW#4Due4February2011 1./secatthe...

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EML 4321 – HW #4 – Due 4 February 2011 1. Molten metal is poured from above into a sprue with an initial vertical velocity of 5 ft/sec at the top of the sprue. If the top of the sprue is 1 inch in diameter, what should the diameter be 6 inches below the top? 2 2 2 2 2 5 / 2 (32.2 / ) ; 0.388 0.5 0.388 0.888 2 2 0.888 32.2 7.56 / 1 1 1 12 12 . 5 / 4 4 4 5 7.56 new new v hg ft s h ft s h ft h ft v hg ft s ft ft in xin d in in q const Av v ft s ft s x π π π = = = = + = = = = = = = = = x = 0.81 in (ANS.) 7.56 / 2. A die casting mold is held shut by four hydraulic cylinders. If a one foot diameter sphere is being cast at 100 MPa, what force (tons) must each cylinder provide? 2 6 6 (0.304 ) 100 10 7.26 10 4 4 1.81 *1 0.304 total cylinder cylinder m F pA Pa N F F F MN foot m π = = = = = = = 202tons(ANS.) 3. Consider Figure 3.45. What force (tons) is necessary to press (no re pressing) the material before sintering to achieve 90% density after sintering of a 3” diameter cylindrical gear?

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11hw4-4feb-Soln - EML4321HW#4Due4February2011 1./secatthe...

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