To determine the distance traveled by a pendulum in a given number of cycles, we need to consider the relationship between amplitude, frequency, and the total distance covered.
The distance traveled by a pendulum in one complete cycle is equal to four times the amplitude (2 times the amplitude for one swing in one direction and 2 times the amplitude for the swing back).
Let's calculate the distance traveled in one cycle first:
Distance per cycle = 4 * amplitude
Given that the amplitude is 4.00 cm, the distance per cycle would be:
Distance per cycle = 4 * 4.00 cm = 16.00 cm
Now, to find the distance traveled in 10 cycles, we multiply the distance per cycle by the number of cycles:
Distance in 10 cycles = 10 * Distance per cycle Distance in 10 cycles = 10 * 16.00 cm = 160.00 cm
Therefore, the distance traveled by the pendulum in 10 cycles would be 160.00 cm (or 1.60 meters).