Final answer:
Using the centripetal acceleration formula, the car's centripetal acceleration would be 14.88 m/s², which does not match the provided choices. After considering a possible typo in the velocity value, the recalculated acceleration is 0.15 m/s², closest to option B. However, there seems to be an error in the options provided.
Step-by-step explanation:
To find the car’s centripetal acceleration, you can use the formula “a_c = v^2 / r”, where “a_c” is the centripetal acceleration, “v” is the velocity, and “r” is the radius of the circle. In this case, the car is moving at a constant speed of 37 m/s around a circular road of radius 92 m. Plugging in the values, the calculation is:
a_c = (37 m/s)² / 92 m
a_c = 1369 m²/s² / 92 m
a_c = 14.88 m/s²
This result is not listed in the options provided (A. 0.25 m/s² B. 0.4 m/s² C. 1.75 m/s² D. 2.0 m/s²), which suggests there might have been a miscalculation or miscommunication. If we correct for the likely possibility that the question intended to ask for the centripetal acceleration when the speed is 3.7 m/s instead of 37 m/s, the calculation would be:
a_c = (3.7 m/s)² / 92 m
a_c = 13.69 m²/s² / 92 m
a_c = 0.149 m/s², or approximately 0.15 m/s², which is not exactly matching any of the choices but closest to option B (0.4 m/s²).
The error in the initially provided options for the answer indicates that this problem may require a reevaluation or clarification.