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An acrobatic airplane performs a loop at an airshow. The centripetal acceleration the plane experiences is 14.7 m/s2.
If it takes the pilot 45.0 seconds to complete the loop, what is the radius of the loop?
Just waiting for answer as well :unsure:

Circular motion:

Centripetal acceleration:
$\displaystyle a = \frac{v^2}{r}$

$\displaystyle v = r \omega$

and

$\displaystyle \omega = \frac{2 \pi}{t}$

Therefore

$\displaystyle a = \frac{4 \pi^2 r}{t^2}$

Rearrange that equation for $\displaystyle r$ and solve.

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I'll let them do your homework for you then.

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