At a time $t=2\mathrm{.}80s,$ a point on the rim of a wheel with a radius of $0\mathrm{.}190m$ has a tangential speed of $54\mathrm{.}0\frac{m}{s}$ as the wheel slows down with a tangential acceleration of constant magnitude $10\mathrm{.}9\frac{m}{s^2}.$

Part A

Calculate the wheel's constant angular acceleration.

Express your answer in radians per second squared.

$=$

$ra\frac{d}{s^2}$

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Part B

Calculate the angular velocity at $t=2\mathrm{.}80s.$

Express your answer in radians per second.

$=$

$ra\frac{d}{s}$

Part C

Calculate the angular velocity at $t=0.$

Express your answer in radians per second.

${}_0=$

$ra\frac{d}{s}$

Part D

Through what angle did the wheel turn between $t=0$ and $t=2\mathrm{.}80s?$

Express your answer in radians.

$=$

rad

Part E

Prior to the wheel coming to rest, at what time will the radial acceleration at a point on the rim equal $g=9\mathrm{.}81\frac{m}{s^2}?$

Express your answer in seconds.

$t=$

S