Question #280094

A car has a "lateral acceleration" of 8.5 m/s². This represents the maximum centripetal acceleration that can be attained without skidding out of the circular path. If the car is traveling at a constant 40 m/s, what is the minimum radius of curve it can negotiate? (Assume the curve is unbanked).

Expert's answer

Explanations & Calculations


  • For this you need to the equation that describes the centripetal/lateral acceleration.

a=v2r\qquad\qquad \begin{aligned} \small a&=\small \frac{v^2}{r} \end{aligned}

  • Now you can give it a try substituting the given values into the equation and getting the answer.
  • Give it a try.

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