A vinyl record with a $15\mathrm{.}0$ cm radius and a mass of $0\mathrm{.}210$ kg is spinning at $33\mathrm{.}3rpm(3\mathrm{.}49ra\frac{d}{s})$ on frictionless bearings. A large beetle with a mass of $0\mathrm{.}055$ kg lands on the record $($coming straight down$)$ halfway between the center of the record and the rim. How fast is the record spinning after the beetle lands? $($note: while a real record turntable has a moter driving it$,$ for this problem assume the motor is off, and the record is just spinning freely on frictionless bearings and no external torque is applied to the system$).$