Answer:
the magnitude of the linear acceleration is [tex]=1.995 \,\,cm/s^2\\[/tex]
Explanation:
Recall that the linear acceleration (a) is associated with the angular acceleration vi the formula:
[tex]a=R\,\alpha[/tex]
where R stands for the radius of the rotational motion (in our case 2.1 cm/2 = 1.05 cm, and [tex]\alpha[/tex] stands for the angular acceleration in radians per units of time squared.
Then the linear acceleration in our case is:
[tex]a=R\,\alpha\\a=1.05 cm * (1.9\,\,\,rad/s^2)\\=1.995 \,\,cm/s^2[/tex]
