The tension in the cable supporting the swing of the ball in the given vertical circle is 47,577.4 N.
The tension in the cable supporting the swing of the ball is calculated as follows;
T = mg + mac
T = mg + m(v²)/r
T = (4810 x 9.8) + (4810 x 1.06²)/12.3
T = 47,577.4 N
Thus, the tension in the cable supporting the swing of the ball in the given vertical circle is 47,577.4 N.
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