Question

enter the correct answer in the box.
the formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the circular path:
$a = \frac{v^2}{r}$.
solve the formula for r.

Explanation:

Step1: Start with the formula

We have the centripetal acceleration formula $a = \frac{v^2}{r}$.

Step2: Multiply both sides by $r$

To eliminate the denominator on the right - hand side, we multiply both sides of the equation by $r$. This gives us $a\times r=\frac{v^2}{r}\times r$. Simplifying the right - hand side, we get $ar = v^2$.

Step3: Divide both sides by $a$

Now, to solve for $r$, we divide both sides of the equation $ar = v^2$ by $a$ (assuming $a
eq0$). So, $\frac{ar}{a}=\frac{v^2}{a}$, which simplifies to $r=\frac{v^2}{a}$.

Answer:

$\frac{v^2}{a}$