Answer:
Magnitude of angular acceleration = -3.95 rad/s²
Explanation:
Angular acceleration is the ratio of linear acceleration and radius.
That is
[tex]\texttt{Angular acceleration}=\frac{\texttt{Linear acceleration}}{\texttt{Radius}}\\\\\alpha =\frac{a}{r}[/tex]
Radius = 72 cm = 0.72 m
Linear acceleration is rate of change of velocity.
[tex]a=\frac{11.7-26.5}{5.2}=-2.85m/s^2[/tex]
Angular acceleration
[tex]\alpha =\frac{a}{r}=\frac{-2.85}{0.72}=-3.95rad/s^2[/tex]
Angular acceleration = -3.95 rad/s²
Magnitude = 3.95 rad/s²
