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A group of students measures the speed of a wave along a slinky spring. Two students hold the ends of a slinky spring along a bench as shown in the picture.

A 5m rule is placed end-to-end alongside the spring. Five students with stopwatches stand together near the center of the spring to measure the time taken by the wave pulse to travel the distance of 5.0m. Student B moves her end of the spring to make a pulse travel along it.

4.1) The five students record the following values for time, measured in seconds.

1.71 ; 1,64 ; 1,78 ; 1,75; 1,67

4.1.1) Determine the average time for the pulse to travel 5.0m along the spring

4.1.2) Calculate the average speed of the pulse along the spring. Round your answer off to two decimal places.

please help me A group of students measures the speed of a wave along a slinky spring Two students hold the ends of a slinky spring along a bench as shown in th class=


Answer :

Rochirion

Answer:

t_avg = 1.71 s

v = 2.92 m/s

Note: Answers were rounded to three significant figures.

Explanation:

To determine the speed of a wave traveling through a slinky spring, we need to first find the average time it took for the pulse to travel the measured distance of 5 meters, and then use this to calculate the wave's average speed.

[tex]\hrulefill[/tex]

Calculation of Average Time

First, we calculate the average time using the times recorded by the students:

Given times: 1.71 s, 1.64 s, 1.78 s, 1.75 s, and 1.67 s.

To find the average:

[tex]\Longrightarrow t_{\text{avg.}}=\dfrac{1.71+1.64+1.78+1.75+1.67 \text{ s}}{5}\\\\\\\\\therefore t_{\text{avg.}}=1.71 \text{ s}[/tex]

[tex]\hrulefill[/tex]

Calculation of Average Speed

Once we have the average time, the speed of the wave can be calculated using the formula:

[tex]v=\dfrac{\text{Distance}}{t_{\text{avg.}}}\\\\\\\\\Longrightarrow v=\dfrac{5.0 \text{ m}}{1.71 \text{ s}}}\\\\\\\\\therefore v \approx \boxed{2.92 \text{ m/s}}[/tex]

Thus, the speed of the wave is calculated.

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