A certain alarm clock ticks four times each second, with each tick representing half a period. The balance wheel consists of a thin rim with radius $0\mathrm{.}60$ cmcm$,$ connected to the balance staff by thin spokes of negligible mass. The total mass of the balance wheel is $1\mathrm{.}0$ gg$.$What is the torsion constant of the hairspring?

Express your answer in N$$m$/$radN$$m$/$rad$.$

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$=$

$1\mathrm{.}14106$