A bicyclist starting at rest produces a constant angular acceleration of $1\mathrm{.}70$ rad$/$s$2$ for wheels that are $37\mathrm{.}0$ cm in radius.

HINT

$($a$)$

What is the bicycle's linear acceleration $($in m$/$s$2)?($Enter the magnitude.$)$

m$/$s$2$

$($b$)$

What is the angular speed of the wheels $($in rad$/$s$)$ when the bicyclist reaches $11\mathrm{.}4$ m$/$s$?$

rad$/$s

$($c$)$

How many radians have the wheels turned through in that time?

rad

$($d$)$

How far $($in m$)$ has the bicycle traveled?

m