Casting of molten metal is important in many industrial processes.
Centrifugal casting is used for manufacturing pipes,
bearings, and many other structures. A cylindrical enclosure
is rotated rapidly and steadily about a horizontal axis, as in
Figure P7.62. Molten metal is poured into the rotating cylinder
and then cooled, forming the finished product. Turning
the cylinder at a high rotation rate forces the solidifying metal
strongly to the outside. Any bubbles are displaced toward the
axis so that unwanted voids will not be present in the casting. Suppose a copper sleeve of inner radius 2.10 cm and outer
radius 2.20 cm is to be cast. To eliminate bubbles and give
high structural integrity, the centripetal acceleration of each
bit of metal should be 100g. What rate of rotation is required?
State the answer in revolutions per minute.
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