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? Round your answer to the nearest whole number.

Question

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? Round your answer to the nearest whole number.

Vocaloid · Answer

centripetal acceleration = v^2/r

to get velocity: the distance around the loop is 2pi*r. divide this by t (45 seconds) to get the velocity. then plug the velocity and acceleration into the formula, and solve for r. round to the nearest whole # as indicated.