In the context of a pendulum, amplitude refers to the maximum displacement of the pendulum bob from its equilibrium position. The frequency represents the number of complete cycles or oscillations the pendulum undergoes in one second.
To calculate the distance traveled in 1 cycle, we can use the formula:
Distance traveled in 1 cycle = 2 * amplitude
Given that the amplitude of the pendulum is 6.00 cm, the distance traveled in 1 cycle would be:
Distance traveled in 1 cycle = 2 * 6.00 cm = 12.00 cm
To calculate the distance traveled in 25 cycles, we can multiply the distance traveled in 1 cycle by the number of cycles:
Distance traveled in 25 cycles = 12.00 cm * 25 = 300.00 cm
Therefore, the distance traveled in 1 cycle is 12.00 cm, and the distance traveled in 25 cycles is 300.00 cm.
To calculate the distance traveled in 1 minute, we need to convert the frequency from Hz to cycles per minute:
Frequency in cycles per minute = frequency in Hz * 60
Given that the frequency is 25.0 Hz, the frequency in cycles per minute would be:
Frequency in cycles per minute = 25.0 Hz * 60 = 1500 cycles per minute
Since we know the distance traveled in 1 cycle is 12.00 cm, the distance traveled in 1 minute would be:
Distance traveled in 1 minute = Distance traveled in 1 cycle * Frequency in cycles per minute
Distance traveled in 1 minute = 12.00 cm * 1500 = 18,000 cm
Therefore, the distance traveled in 1 minute is 18,000 cm.