Question

Systemic Error: Lost Length: While we pretended that L' was the length of the entire string, in reality, you probably had some loose at both ends, some looped over the pendulum, some wrapped in knots, and so on. This can be quite an important systemic error, depending on your setup. Qualitative Impact: Discuss the direction of the impact of this on each part of the experiment (and state when it would have had no impact). Quantitative Impact: Estimate how much total length of string could have been "tied up" in this way (and remember that it's the stretched length that matters for the yellow string, so take random errors into account); how much would this impact our results? Conclusions for Results: Consider this systemic error and your size estimates as compared to your other errors. All things considered, which measurement do you think is better to determine mass density: the direct measurement, or the waves-based measurement? Consider the equivalent question for the wave velocity: do you trust part I or part II more?

          Systemic Error: Lost Length: While we pretended that L' was the length of the entire string, in reality, you probably had some loose at both ends, some looped over the pendulum, some wrapped in knots, and so on. This can be quite an important systemic error, depending on your setup.

Qualitative Impact: Discuss the direction of the impact of this on each part of the experiment (and state when it would have had no impact).

Quantitative Impact: Estimate how much total length of string could have been "tied up" in this way (and remember that it's the stretched length that matters for the yellow string, so take random errors into account); how much would this impact our results?

Conclusions for Results: Consider this systemic error and your size estimates as compared to your other errors. All things considered, which measurement do you think is better to determine mass density: the direct measurement, or the waves-based measurement? Consider the equivalent question for the wave velocity: do you trust part I or part II more?

Show more…

Added by Tina M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

05/19/2023

Step 1

Qualitative Impact: Show more…

Show all steps

lock

Thanks for your feedback!

Systemic Error: Lost Length: While we pretended that L' was the length of the entire string, in reality, you probably had some loose at both ends, some looped over the pendulum, some wrapped in knots, and so on. This can be quite an important systemic error, depending on your setup. Qualitative Impact: Discuss the direction of the impact of this on each part of the experiment (and state when it would have had no impact). Quantitative Impact: Estimate how much total length of string could have been "tied up" in this way (and remember that it's the stretched length that matters for the yellow string, so take random errors into account); how much would this impact our results? Conclusions for Results: Consider this systemic error and your size estimates as compared to your other errors. All things considered, which measurement do you think is better to determine mass density: the direct measurement, or the waves-based measurement? Consider the equivalent question for the wave velocity: do you trust part I or part II more?

Play audio

Feedback

Powered by NumerAI

Madhur L and 91 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 Hello, in the question we have given systemic error, loss length while we pretend l ' was the length of entire string.

00:09 In reality, you probably had some losses at both ends, some looped over pendulum and some wrapped in knots and so on.

00:18 So this can be quite an important systemic error depending on your setup.

00:22 So we have to discuss the qualitative quantitative impact and the conclusion for results.

00:28 So let us see one by one.

00:29 So we have this pendulum and we are claiming that l ' is the length of this pendulum.

00:36 Now, so let us see the first approach.

00:41 So that is the qualitative impact.

00:50 Now in the qualitative impact, now see, we know that we know that l ' is not actual because some of its part is lost in winding, wrapping or wrapping and in knots.

01:33 So we have this loop of wrapping.

01:40 So there the length is lost and in the knots also the length is lost.

01:45 So now what will happen? so now this can affect different parts in the experiments in a different ways.

01:56 So now suppose if i measure the length of the string.

02:00 So now so this l ' whatever we have given, so l ' might affect the mass density or the wave velocity.

02:16 Now, actually this l ' if we consider this knots and everything, so l ' will be longer.

02:22 So l ' will be too long if this all is included that the loops and knots if they are included, then this l ' will be too long.

02:43 So that can affect the mass density and the wave velocity, which can affect mass density and wave velocities because they have mentioned to find out for the wave velocities only.

03:06 So and it will be low.

03:10 So the wave velocity will be low.

03:11 If this length is longer, then the wave velocity will become low.

03:22 Sorry, wave velocity will be then.

03:42 So and if we talk about the period of pendulum, so the period as such will not affect.

03:50 But the wavelength if the string goes higher, so the wavelength l ' is also long and frequency short.

04:00 So this also can affect over here.

04:08 Then let us see next one, the quantitative...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later