$[$Note: Answers must be on this sheet when turned in$.$ Due $10$ AM Nov. ${19}^{th}5$ points maximum. Zero points if late.$]$

A grindstone spinning at the rate of $62\mathrm{.}8re\frac{v}{s}$ has what approximate angular speed?

A $0\mathrm{.}500$ m radius$-$grinding wheel takes $9\mathrm{.}00$ s to speed up from $2\mathrm{.}00ra\frac{d}{s}$ to $20\mathrm{.}0ra\frac{d}{s}.$ What is the wheel's average angular acceleration?

If the a net torque is applied to an object, that object will experience a non$-$zero:

A disk has a moment of inertia of $3\mathrm{.}00{10}^{-4}k{g}^{**}{m}^2$ and rotates with an angular speed of $5\mathrm{.}00ra\frac{d}{sec}.$ What net torque must be applied to bring it to rest within $2\mathrm{.}50$ s $?$

A bowling ball has a mass of $6\mathrm{.}00$ kg $,$ a moment of inertia of $2\mathrm{.}40{10}^{-2}k{g}^{**}{m}^2$ and a radius of $0\mathrm{.}100$ m $.$ If it rolls down the lane without slipping at a linear speed of $4\mathrm{.}80\frac{m}{s},$ what is its total kinetic energy?