The distance traveled by a pendulum in one complete cycle (also known as the amplitude) can be calculated using the formula:
Distance = 2 * π * Amplitude
Given that the amplitude of the pendulum is 4.00 cm, we can substitute this value into the formula:
Distance = 2 * π * 4.00 cm
To calculate the distance traveled in 10 cycles, we need to multiply the distance traveled in one cycle by the number of cycles:
Distance in 10 cycles = Distance per cycle * Number of cycles
Distance in 10 cycles = (2 * π * 4.00 cm) * 10
Let's calculate it:
Distance in 10 cycles = (2 * 3.1416 * 4.00 cm) * 10 Distance in 10 cycles = 25.132 cm * 10 Distance in 10 cycles = 251.32 cm
Therefore, the distance traveled by the pendulum in 10 cycles is 251.32 cm.