Answer:
The speed of the car is 21.91 m/s
Step-by-step explanation:
Centripetal Acceleration
It's the acceleration experienced by an object in a uniform circular motion.
It always points toward the center of rotation and is perpendicular to the linear velocity v.
The magnitude of the centripetal acceleration is:
[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]
Where r is the radius of rotation.
The race car has a centripetal acceleration of [tex]a_c=12 m/s^2[/tex] and the radius of rotation is r=40 m.
We can calculate the speed of the car by solving the above equation for v:
[tex]v=\sqrt{a_c\cdot r}[/tex]
[tex]v=\sqrt{12\cdot 40}[/tex]
[tex]v=\sqrt{480}[/tex]
[tex]v=21.91\ m/s[/tex]
The speed of the car is 21.91 m/s
