Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Questions 1. Choose one of your data points and calculate the speed of that wave

ID: 1794716 • Letter: Q

Question

Questions 1. Choose one of your data points and calculate the speed of that wave. How does this compare with the speed of sound in air? (Look it up.) Now examine the rest of your data. If your speed is greater than the speed of sound in air, will any of your data points have a speed that is less? (And if your speed is less than the speed of sound in air, will any of your data points have a speed that is greater?) 2. When crossing a bridge, soldiers may sometimes be advised to march out of step while on the bridge (rather than all in step as they are accustomed to). Explain in detail why this may be done, and what the consequences might be if it were not. 3. Why do we need to keep the function generator going? That is, why couldn't we just turn it on at the beginning, start the wave moving, and turn it off and let the wave continue to wave? Explain in detail.

Explanation / Answer

2. when crossing bridge, sldiers are sometimes advised to march out of step, because stepping on bridge is like forced osccilation

now if the stepping frequency of all the soldiers is the same and it is close to the natural frequency of the bridge, we will see the bridge osccilating about its mean position with that frequency

now at natural frequency, small forces can produce large vibrational amplitudes which is bad for maintaining the structural integrity of the bridge. Hence the soldiers are advised to march out of step

3. We have to keep the function generator going because the enrgy provided by the function generator is lost in the strin ( material) due to real life damping. The loss of this energy has to be covered up by supplying constant energy into the system to keep it vibrating