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 objects distance from the center of the circular path:
$a = \frac{v^2}{r}$.
solve the formula for r.
$r = $

Explanation:

Step1: Multiply both sides by \( r \)

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

Step2: 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, \( \frac{ar}{a}=\frac{v^{2}}{a} \), and this simplifies to \( r=\frac{v^{2}}{a} \).

Answer:

\( \frac{v^{2}}{a} \)