An athlete throws a discus from rest to a final angular velocity of $15 \mathrm{rad} / \mathrm{s}$ in $0.270 \mathrm{~s}$ before releasing it. During acceleration, discus moves a circular arc of radius $0.810 \mathrm{~m}$. Acceleration of discus before it is released is:
(a) $45 \mathrm{~m} / \mathrm{s}^{2}$
(b) $182 \mathrm{~m} / \mathrm{s}^{2}$
(c) $187 \mathrm{~m} / \mathrm{s}^{2}$
(d) $192 \mathrm{~m} / \mathrm{s}^{2}$