Latihan Soal Gelombang Stasioner | Kelas XI

Summary

In this video, the presenter delves into the concept of stationary waves, specifically addressing waves with both fixed and free ends. The explanation covers the formation of these waves, with practical examples such as calculating the position of antinodes and understanding the role of the wave's frequency and wavelength. The script also includes problem-solving approaches, emphasizing key principles like the relationship between the wavelength, frequency, and wave speed. Overall, it's an informative guide aimed at helping students grasp the fundamentals of stationary waves in physics, with clear examples and calculations.

Takeaways

• 😀 Gelombang stasioner is a type of wave formed when two waves of the same frequency and amplitude interfere with each other, creating fixed points (nodes) and moving points (antinodes).
• 😀 There are two types of wave boundaries: fixed ends (ujung terikat) and free ends (ujung bebas), each with its specific behavior in stationary waves.
• 😀 For a string with one fixed end and one vibrating end, the nodes and antinodes form in specific patterns based on the wavelength and frequency.
• 😀 The position of the second antinode can be calculated using the formula for stationary waves, based on the number of nodes and the wavelength.
• 😀 To find the wavelength in stationary waves, one can use the known length of the string and the number of nodes present. For example, with 5 nodes and a 2m string, the wavelength is 1 meter.
• 😀 The frequency of a wave can be found by using the equation f = v / λ, where v is the wave speed and λ is the wavelength.
• 😀 The speed of the wave on the string can be determined from the wave speed formula and known physical properties of the string, like its tension and mass per unit length.
• 😀 For waves on a string with one end fixed and the other free, the stationary wave patterns differ from those formed at both ends being fixed, with specific formulas for determining the wavelength and frequency.
• 😀 The amplitude of a wave in a stationary wave depends on the location of the node or antinode, with maximum amplitude occurring at antinodes and zero at nodes.
• 😀 For the given example with a 6m string and 4 nodes, using the wave speed and node information, the wavelength can be calculated, and from that, the frequency of the wave can be determined.

Q & A

What is the first step in solving problems related to stationary waves in the given script?

The first step is to identify whether the wave has fixed ends or free ends. This distinction is crucial as it determines the type of stationary wave formed and the corresponding equations to use.

What does the term 'perut' refer to in the context of stationary waves?

'Perut' refers to an antinode or a point where maximum displacement occurs in a stationary wave. In the script, the position of the second perut (m=2) is calculated using specific formulas.

How do you calculate the wavelength (λ) of a stationary wave when the number of nodes is known?

The wavelength (λ) can be determined using the formula for the number of nodes in a stationary wave. For example, when five nodes are given, you can use the relationship between the number of nodes and the wavelength to solve for λ.

What formula is used to determine the location of the second perut in a stationary wave?

The formula used is: location of perut = (m / 2) * λ, where m is the perut number, and λ is the wavelength of the wave.

How do you determine the wavelength of a wave if the length of the string and the number of nodes are given?

To calculate the wavelength, use the relationship between the length of the string and the number of nodes. For instance, if the string length is 2 meters and there are five nodes, the wavelength can be calculated using the equation for nodes in stationary waves.

What is the relationship between the wave's speed (v), frequency (f), and wavelength (λ)?

The wave speed (v) is related to frequency (f) and wavelength (λ) by the equation v = f * λ. This relationship helps in calculating one of the parameters if the other two are known.

In the script, how is the frequency of the wave calculated when the speed of the wave and the wavelength are known?

The frequency is calculated using the formula f = v / λ, where v is the speed of the wave and λ is the wavelength.

What formula is used to find the frequency of a stationary wave when the string length and number of nodes are provided?

The frequency can be determined by first calculating the wavelength using the number of nodes, and then applying the wave speed formula f = v / λ, where v is the wave speed and λ is the wavelength.

Why is it important to identify whether a wave has a free end or a fixed end in the context of stationary waves?

The identification of the wave's end condition (free or fixed) is important because it affects the formation of nodes and antinodes. At a fixed end, a node is formed, while at a free end, an antinode is formed. These boundary conditions influence the wave patterns.

What does the amplitude of a stationary wave depend on, as explained in the script?

The amplitude of a stationary wave depends on the maximum displacement of the wave at a specific point. For the wave to achieve maximum amplitude, the sinusoidal term in the wave equation must reach its maximum value (sin or cos equals 1).