Waves: two parallel wires how much time til the waves will pass each other

In summary, two parallel wires with different tensions and lengths have transverse wave pulses generated at opposite ends. The time it takes for the pulses to pass each other is approximately 8.33 seconds.
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torrie110
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help fast Waves: two parallel wires how much time til the waves will pass each other

Homework Statement


Two wires are parallel, and one is directly above the other. Each has a length of 40.9 m and a mass per unit length of 0.0208 kg/m. However, the tension in wire A is 51.5 x 102 N, while the tension in wire B is 1.13 x 102 N. Transverse wave pulses are generated simultaneously, one at the left end of wire A and one at the right end of wire B. The pulses travel toward each other. How much time does it take until the pulses pass each other?


Homework Equations



V = sqroot {F/(M/F)}

The Attempt at a Solution



i solved for both velocities of each rope and than got stuck from there
 
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  • #2
. V_A = sqrt(51.5 x 10^2 / (0.0208 kg/m)) = 5.11 m/sV_B = sqrt(1.13 x 10^2 / (0.0208 kg/m)) = 2.25 m/sTime it takes for the pulses to pass each other: 40.9 m / (V_A + V_B) = 40.9 m / (5.11 m/s + 2.25 m/s) = 8.33 s
 

1. How do you measure the time it takes for two parallel wires to pass each other?

The time it takes for waves to pass between two parallel wires can be measured by using a stopwatch or a timer. Start the timer when the first wave reaches one wire and stop it when the same wave reaches the other wire. This time will be the time it takes for the waves to pass between the two wires.

2. What factors affect the time it takes for waves to pass between two parallel wires?

The time it takes for waves to pass between two parallel wires can be affected by the distance between the wires, the frequency of the waves, and the speed of the waves. If the distance between the wires is shorter, the time it takes for the waves to pass will be shorter. Similarly, if the frequency of the waves is higher, the time it takes for them to pass will also be shorter. The speed of the waves is a constant and will not affect the time it takes for them to pass between the wires.

3. Can the time it takes for waves to pass between two parallel wires be calculated?

Yes, the time it takes for waves to pass between two parallel wires can be calculated using the formula: t = d/v, where t is the time, d is the distance between the wires, and v is the velocity (speed) of the waves. This formula assumes that the frequency of the waves is also known.

4. How do the waves travel between two parallel wires?

The waves travel between two parallel wires through the medium they are passing through. This can be a solid, liquid, or gas. The waves create a disturbance in the medium, which causes the particles in the medium to vibrate and transfer the energy from one wire to the other.

5. Is there a limit to the number of waves that can pass between two parallel wires?

There is no limit to the number of waves that can pass between two parallel wires. As long as the waves are being generated and the wires are parallel, the waves will continue to pass between them. However, the frequency of the waves may decrease over time due to factors such as interference or energy loss.

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