Scooby $($whose mass is $55$ 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 $3\mathrm{.}2$ m long and Scooby's angular velocity is $0\mathrm{.}2ra\frac{d}{s}.$ 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 $0\mathrm{.}9ra\frac{d}{s}?$ Assume that Scooby can be modeled as a particle on a string. $(7$ pts$)$