Final answer:
To calculate the total angle of rotation in radians, divide the distance traveled by the radius of the wheel. For a 2.00 km distance and a 30.0 cm wheel radius, the total angle should be 6666.67 radians, which does not match the provided choices, indicating a potential discrepancy.
Step-by-step explanation:
The student asked how to calculate the total angle through which the tires of a bicycle rotate when the boy rides his bicycle for a distance of 2.00 km. To find the total angle in radians, we can use the formula:
Total angle (in radians) = (distance traveled) / (radius of the wheel)
The radius of the bicycle wheel is given as 30.0 cm, which is 0.30 m. Since the distance traveled is 2.00 km, which is 2000 meters, we can calculate the total angle as follows:
Total angle = 2000 m / 0.30 m = 6666.67 radians
This is not an exact match to the answer choices, suggesting either a calculation error or a misprint in the options. The closest provided answer would typically be (a) 6290 rad, but it is necessary to recheck calculations or the question for any discrepancy.