Answer:
The centripetal acceleration would increase by a factor of 4
Correct choice: B.
Explanation:
Circular Motion
The circular motion is described when an object rotates about a fixed point called center. The distance from the object to the center is the radius. There are other magnitudes in the circular motion like the angular speed, tangent speed, and centripetal acceleration. The formulas are:
[tex]v_t=w\ r[/tex]
[tex]\displaystyle a_c=\frac{v_t^2}{r}[/tex]
If the speed is doubled and the radius is the same, then
[tex]\displaystyle a_c=\frac{(2v_t)^2}{r}[/tex]
[tex]\displaystyle a_c=4\frac{v_t^2}{r}[/tex]
The centripetal acceleration would increase by a factor of 4
Correct choice: B.
