Final answer:
To calculate the magnitude of the largest normal acceleration, we can find the magnitude of the centripetal acceleration at its edge and convert it to multiples of g. The largest normal acceleration occurs when the measured acceleration is 132 ±6 m/s² in the south and east directions. The magnitude of the largest normal acceleration is 132 m/s² and in multiples of g is approximately 13.5 g.
Step-by-step explanation:
The magnitude of the largest normal acceleration can be calculated by finding the magnitude of the centripetal acceleration at its edge and converting it to multiples of g. To do this, we need to determine the maximum value of the measured acceleration (magnitudes) given.
By analyzing the given information, we find that the largest normal acceleration occurs when the measured acceleration is 132 ±6 m/s², with the forces acting in the south and east directions. Therefore, the magnitude of the largest normal acceleration is 132 m/s². To convert it to multiples of g, we divide it by the acceleration due to gravity, g (9.80 m/s²). So, the magnitude of the largest normal acceleration in multiples of g is approximately 13.5 g.