This appears to be a physics wave problem, specifically about sinusoidal wave motion in a string, given in Indonesian. Let's go through the information provided and break down the required calculations:

Given Wave Equation

The wave equation provided is: $y(x, t) = \frac{1}{2} P \sin(4 \pi x - P \pi t + \pi)$ where:

• $P$ is a constant based on your NIM (student identification number), calculated by adding the 3rd and last digit of your NIM.

Tasks and What They Represent

The tasks are asking for various properties of the wave based on this equation:

1. Initial Phase of the Wave (Fase Awal Gelombang)

   • This refers to determining the phase constant of the wave when $x = 0$ and $t = 0$.

2. Phase at Position $x = 1.5$ m and Time $t = 0.25$ s

   • Calculate the phase of the wave at the specified point in space and time.

3. Wave Propagation Speed (Kecepatan Perambatan Gelombang)

   • This is the speed at which the wave travels, which can be derived from the wave equation.

4. Maximum Transverse Velocity (Kecepatan Transversal Maksimum)

   • The maximum rate of change of the wave's displacement in the transverse direction.

5. Maximum Transverse Acceleration (Percepatan Transversal Maksimum)

   • The maximum rate of change of the transverse velocity.

6. Transverse Velocity at $x = 2$ m and $t = 1$ s

   • The rate of change of displacement at a specific point and time.

7. Transverse Acceleration at $x = 2$ m and $t = 1$ s

   • The rate of change of transverse velocity at the same point and time.

8. Graph of the Wave (Gambarkan Gelombang)

   • Sketch or plot the wave based on the equation.

Solution Outline

To solve these, you will need:

• To compute the phase for parts (a) and (b).
• Derive the propagation speed $v = \frac{\omega}{k}$, where $\omega$ is the angular frequency and $k$ is the wave number.
• Find the maximum values of transverse velocity and acceleration using differentiation with respect to time.
• Substitute the given values of $x$ and $t$ into the derivatives for parts (f) and (g).

Would you like me to solve each part in detail? If so, please provide the value of $P$ based on your NIM.

Additional Related Questions

1. How does changing the value of $P$ affect the wave properties?
2. What is the physical interpretation of the phase at a specific point and time?
3. How would the wave equation change if the frequency were doubled?
4. What is the effect of increasing the amplitude on transverse velocity and acceleration?
5. How would the graph of the wave differ if it were a cosine wave instead?

Tip

To find the wave speed in sinusoidal waves, use the relationship $v = \frac{\omega}{k}$, where $\omega$ (angular frequency) and $k$ (wave number) can be identified from the wave equation.