Consider the collapse of the spherical cavitation bubble similar to Q$1,$ but which is initially at rest with radius $0\mathrm{.}000055$ m in an infinite expanse of fluid of density $1012\mathrm{.}253$ kg m$-3.$

Assume the following approximations:

$$ neglect gravity;

$$ neglect the pressure inside the bubble;

$$ the far$-$field pressure is constant $(99343\mathrm{.}067$ Pa$).$

Calculate the time to collapse $$t subscript ct subscript c$$ in microseconds.

Give your answer as a numerical value to $3$ decimal places.

Partial credit is available for this question.