Acceleration, Safe or Not?

Question

At the bottom of the loop of your roller coaster, the velocity is 30 m/s and the radius of the loop is 50 m. Is the amount of acceleration riders will experience in this loop considered safe? Why? The acceleration has to be 40, no more. 

 

 

Answer 1

a_c = v^2 / r = (30 m/s)^2 / (50 m) = 18 m/s^2

 

If the maximum allowed acceleration is 40 m/s^2, then it is safe.