Refer to the Graphs of Sound Waves here
Tag Archives: Topic General Wave Properties
2017PurePhyP2Q5 Two points on the rope wave with displacement-time graphs given
In this this question, the displacement-time graphs are given, which are different from displacement-distance graphs.
In the displacement-time graphs of A and B, they show the displacement of that particular point at different timing. E,g, at t = 0s, the A is at the rest position (0 displacement) and at time 0.2 s it is at the maximum displacement. This means A is going up from t = 0 s to 0.2 s.
Solutions:
(a) Amplitude: 1.5 cm
(b)(i) Frequency is the number of complete waves produced in 1 second.
(ii) period T = 0.8s, f = 1/T = 1/0.8 = 1.25 Hz
(c) Closest possible positions of A and B, (refer to the video), is when the
time taken for the wave to move from A to B is T/4 = 0.8/4 = 0.2 s.
speed = distance/time = 38/0.2 = 190 cm/s approx. 200 cm/s
(ii) There are various possibilities in which B can be 38 cm to the right of A. Besides T/4, it can be 1.25T or 2.25 T etc. Hence the speed can be other values.
Refer to the video explanation below
Waves – Confuse with V, f and lamda?
Transverse Wave – Convert to Displacement-Time Graph
Transverse Wave – Position of x at t = 3s
Wavefront
Wavefront is an imaginary line which joins all identical points (e.g. crests) in phase.
Wavefront can be created in a ripple tank.
The video below shows how horizontal wavefront is created.
The video below shows how other types of wavefronts are produced
Transverse Waves and Longitudinal Waves
Transverse waves are waves in which the direction of the wave is perpendicular to thedirection of the vibration.
e.g Light, water, and any waves in the electromagnetic spectrum
Longitudinal waves are waves in which the direction of the wave is parallel to the direction of the vibration.
e.g Sound
Wave equation: V = fλÂ
From the rope videos, with only vertical displacement, speed of wave is constant.
Hence frequency is inversely proportional to wavelength. [f increases, λ decreases, and vice versa]
Transverse Waves and Longitudinal Waves
Transverse waves are waves in which the direction of the wave is perpendicular to thedirection of the vibration.
e.g Light, water, and any waves in the electromagnetic spectrum
Longitudinal waves are waves in which the direction of the wave is parallel to the direction of the vibration.
e.g Sound
Wave equation: V = fλÂ
From the rope videos, with only vertical displacement, speed of wave is constant.
Hence frequency is inversely proportional to wavelength. [f increases, λ decreases, and vice versa]