QUESTION $18$

Scooby $($whose mass is $60$ kg $)$ is running on an ice rink when his leash is caught on a pole and he starts sliding in a circle around the pole. Initially the leash is $2\mathrm{.}6$ m long and Scooby's angular velocity is $\backslash (0\mathrm{.}1\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash ).$ As Scooby circles the pole, his leash wraps around it and becomes shorter and shorter. How long is the leash $($i$.$e$.$ how far is Scooby from the pole, in m $)$ when his angular velocity is $\backslash (0\mathrm{.}6\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )?$ Assume that Scooby can be modeled as a particle on a string.