Answer:
[tex]a_1:a_2=1:2[/tex]
Explanation:
Formula for Angular Acceleration:
[tex]\boxed{angular\ acceleration\ (\alpha)=\frac{linear\ acceleration\ (a)}{radius\ (r)} }[/tex]
Given:
radius₁ (r₁) = 2 m
radius₂ (r₂) = 4 m
Since α₁ = α₂, therefore [tex]\frac{a_1}{r_1} =\frac{a_2}{r_2}[/tex]
[tex]\displaystyle \frac{a_1}{r_1} =\frac{a_2}{r_2}[/tex]
[tex]\displaystyle \frac{a_1}{2} =\frac{a_2}{4}[/tex]
[tex]\displaystyle \frac{a_1}{a_2} =\frac{2}{4}[/tex]
[tex]a_1:a_2=2:4[/tex]
[tex]\bf a_1:a_2=1:2[/tex]
