Question

Describe two experiments to determine the speed of propagation of a transverse wave on a rope. You have the following tools to use: a stopwatch, a meter stick, a mass-measuring scale, and a force-measuring device. Use whatever other items you need for your experiments.

Answer 1

Answer:

#See solution for details.

Explanation:

1.

Tools:$stopwatch, \ meter \ stick, \ mass \ measuring \ scale , \ force \ measuring \ device$.

$Experiment \ 1$:Calculate the speed of the wave using the time,$t$ it takes to travel along the rope. Rope's length,$L$ is measured using the meter stick.

-Attach one end of rope to a wall or post, shake from the unfixed end to generate a pulse. Measure the the time it takes for the pulse to reach the wall once it starts traveling using the stopwatch.

-Speed of the pulse can then be obtained as:

$v=\frac{L}{t}$

$Experiment \ 2$: Apply force of known value to the rope then use the following relation equation to find the speed of a pulse that travels on the rope.

$v=\sqrt{\frac{F}{\mu}}\ ,\mu=\frac{m}{L}$

-Use the measuring stick and measuring scale to determine $L,m$ values of the rope then obtain $\mu$.

-Use the force measuring constant to determine $F$. These values can the be substituted in $Experiment \ 1$ to obtain $v.$