A disk with mass m $=10\mathrm{.}3$ kg and radius R $=0\mathrm{.}34$ m begins at rest and accelerates uniformly for t $=16\mathrm{.}8$ s$,$ to a final angular speed of $=26$ rad$/$s$.$

What is the angular acceleration of the disk?

What is the angular displacement over the $16\mathrm{.}8$ s$?$

What is the distance traveled by a point on the disk that is $0\mathrm{.}10$ m away from the center of the disk?

What is the angular displacement over the first $8\mathrm{.}4$ s$?$

A record with a radius of r $=17$ cm$,$ starts from rest before reaching its playing speed of $45$ revolutions per minute $($rpm$)$ within $0\mathrm{.}75$ s$.$

What was the angular acceleration of the record during that time $($in units of rad$/$s$2?$

What is the angular velocity of the record at t $=0\mathrm{.}42$ s$?$

A small $($relatively massless$)$ fly lands on the outermost edge of the record as it is spinning. What is the translational velocity of the fly as it spins at $45$ rpms$?$