Final answer:
The carousel rotates 2π radians in 6.00 sec.
Step-by-step explanation:
The carousel rotates once (1.00 rev) every 6.00 sec. To find out how many radians it rotates in 6.00 sec, we can use the conversion factor that 1 revolution is equal to 2π radians. So, in this case, the carousel rotates 2π radians in one revolution.
Therefore, in 6.00 sec, the carousel will rotate 2π radians as it completes one revolution. Hence, the answer is 2π (option d).