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University Physics with Modern Physics
The angular velocity of a flywheel obeys the equation $\omega_z$($t$) $= A + Bt^2$, where $t$ is in seconds and $A$ and $B$ are constants having numerical values 2.75 (for $A$) and 1.50 (for $B$). (a) What are the units of $A$ and $B$ if $\omega_z$ is in rad/s? (b) What is the angular acceleration of the wheel at (i) $t = 0$ and (ii) $t =$ 5.00 s? (c) Through what angle does the flywheel turn during the first 2.00 s? ($Hint$: See Section 2.6.)