The wavelength decreased and the frequency increased.
The wavelength of waves produced in a spring depends on the frequency of the wave and the speed at which the wave travels through the spring. The wavelength is calculated as the speed of the wave divided by its frequency.
Increase
Increasing the tension of a spring affects the speed at which a wave travels along it. Higher tension leads to a faster wave speed. Additionally, increasing tension can also change the frequency and wavelength of the wave.
The wave speed can be calculated using the formula v = frequency x wavelength. Given the frequency of 24.0 Hz and the distance between successive compressions (wavelength) of 0.485 m, the wave speed can be calculated as v = 24.0 Hz x 0.485 m = 11.64 m/s.
The angular frequency formula for a spring system is (k/m), where represents the angular frequency, k is the spring constant, and m is the mass of the object attached to the spring.
The wavelength of waves produced in a spring depends on the frequency of the wave and the speed at which the wave travels through the spring. The wavelength is calculated as the speed of the wave divided by its frequency.
Frequency = speed / wavelength = 3/0.2 = 15 Hertz
Increase
Increasing the tension of a spring affects the speed at which a wave travels along it. Higher tension leads to a faster wave speed. Additionally, increasing tension can also change the frequency and wavelength of the wave.
The wave speed can be calculated using the formula v = frequency x wavelength. Given the frequency of 24.0 Hz and the distance between successive compressions (wavelength) of 0.485 m, the wave speed can be calculated as v = 24.0 Hz x 0.485 m = 11.64 m/s.
The angular frequency formula for a spring system is (k/m), where represents the angular frequency, k is the spring constant, and m is the mass of the object attached to the spring.
Increasing the tension of a spring increases the speed of wave propagation along the spring. This is because the higher tension causes the wave to travel faster due to increased restoring forces. Additionally, the wavelength of the wave may decrease as tension increases.
I wasn't there and didn't observe the experiment. But I would take a wild guessand say that as long as the tension in the spring doesn't change, the speed ofpropagation of waves in it is constant. So if you wiggle the end faster, the wavesmust get shorter.
Increasing the spring stiffness will result in a higher natural frequency. This is because a stiffer spring will require more force to displace it, leading to faster oscillations and a higher frequency. Conversely, decreasing the spring stiffness will lower the natural frequency of the system.
The angular frequency of a spring is directly related to its oscillation behavior. A higher angular frequency means the spring will oscillate more quickly, while a lower angular frequency results in slower oscillations. This relationship is described by Hooke's Law, which states that the angular frequency is proportional to the square root of the spring constant divided by the mass of the object attached to the spring.
The angular frequency () in a spring-mass system is calculated using the formula (k/m), where k is the spring constant and m is the mass of the object attached to the spring.
To produce a longitudinal wave on a spring with large energy, you can start by displacing one end of the spring in the direction you want the wave to travel. Apply a significant amount of force to create a strong wave with high energy content. The wave will propagate along the spring as the particles oscillate back and forth in the direction of the wave.