Ride Physiology Examples EXAMPLE 1 SOLUTION To calculate the g's at the top of the loop, you will need to know the velocity of the rider there. To find velocity, use kinetic energy.    The rider will not pass out because 4.77 is less than 8 g's. EXAMPLE 2 SOLUTION     The rider will not pass out because 5.01 is less than 8 g's. THE IRREGULAR LOOP EXAMPLE The simple loop is easy enough to calculate. The irregular shaped loop needs a little more work. The velocity as the car enters the loop should be known. First establish the g's felt at the bottom. Subtract one g to know what the track exerts. Then convert these g's to m/s2. Now solve for the radius. EXAMPLE STEP 1 (I'm randomly choosing 6 g's as the limit for the rider) Therefore the centripetal acceleration of the track is 6g - 1g = 5gs. STEP 2 (convert these g's to m/s2) STEP 3 Now to calculate what the rider feels at the top of the loop. Decide on the height of the loop. Then decide how many g's the rider will experience. Use the loop formulae with centripetal acceleration to calculate the radius. STEP 4 The top of the loop will be at 25 m. (Chosen pretty much at random.) STEP 5 I'm randomly choosing 6 g's again as the limit for the rider. It could be almost any number. At the top of the loop add 1 g for the centripetal force. ("Add" because the rider is upside down.) 6g's + 1 g = 7g STEP 6 convert g's to m/s2 STEP 7 (1/2)(m)(35)2 = (1/2)(m)vo2 +(m)(9.80 m/s2)(20 m) The m's divide out. (1/2)(35)2 = (1/2)vo2 +(9.80 m/s2)(20 m) vo = 28.86 m/s STEP 8 Calculate the radius at the top   In reality, a person will not pass out the instant he/she reaches 8 g's. It will take a few seconds of being at 8 g's for the person to pass out. But for the sake of easy calculations we will assume that the instant 8 g's is reached a person will pass out. 8 g's is an average. peaple generally pasout between 6 to 10 g's. (FYI: The 40 g mark mentioned earlier is instantaneous for death.) If you use or find this page useful or have any comments, please contact the author so maybe he'll do more. Author: Tony Wayne "ROLLER COASTER PHYSICS" TABLE OF CONTENTS ... PHYSICS PAVILION TABLE OF CONTENTS <--PREVIOUS SECTION ... NEXT SECTION --> A special thanks to VASTfor hosting our web site.