A $52\mathrm{.}4$ cm$-$long pendulum takes $1\mathrm{.}50$ minutes to undergo $62\mathrm{.}9$ complete back$-$and$-$forth cycles.

$($a$)$

Compute the pendulum's period $($in s$).$

Review the definition of period in the context of pendulum motion. Double check units as well as your arithmetic. s

$($b$)$

Determine the acceleration due to gravity $($in m$/$s$2)$ at the place where the pendulum is located.

m$/$s$2$