Final answer:
The time it takes for a swing to complete one full swing can be calculated using the formula for the period of a pendulum. In this case, the length of the swing would be 8.0m, and the period would be 5.14 seconds.
Step-by-step explanation:
The time it takes for a swing to complete one full swing can be determined using the formula for the period of a pendulum. The period of a pendulum is given by the formula:
T = 2π√(L/g)
Where T is the period, L is the length of the swing, and g is the acceleration due to gravity. In this case, since the student's center of gravity is 4.0m below the pivot, the length of the swing would be the sum of the distance from the pivot to the center of gravity and the distance from the center of gravity to the bottom of the swing.
So the length of the swing would be 4.0m + 4.0m = 8.0m. Using this information, we can calculate the period of the swing as follows:
T = 2π√(8.0/9.8) = 5.14 seconds