QuestionQuestion

In an experiment we are measuring the gravitational acceleration in 2 different ways. The following table contains the data for two trials, A and B.

g(m/s2) for Trial A 9.09 9.09 9.49 9.49 9.49 9.09 9.09 9.49 9.09
g(m/s2) for Trial B 9.93 10.19 9.16 8.93 9.62 9.24 10.42 10.00 9.80

Perform all calculations for this problem for each trial by hand (no Excel).
1. Find the average and standard deviation for the gravitational acceleration in both trials.

2. If the accepted value for gravitational acceleration is 9.82 m/s2, what is the percent difference between the accepted and average of experimental values?

3. How many standard deviations away is the average measurement from the accepted value in each trial?

4. What is the experimental error of the average measurement in each trial?

5. Which trial has more random error, A or B? Explain.

6. Which trial has more systematic error, A or B? Explain.

7. Which trial, A or B, is more accurate? Why?

8. Which trial, A or B, is more precise? Why?

9. Find the percentage uncertainty for the values with given uncertainties below.
X=4.3m ± 0.4 m
Y=1.76 m/s ± .09 m/s
Z=19. km ± 1. km

10. Find the uncertainty for the values with given percentage uncertainties below.
X= 1.34m ± 8%
Y= 22.6m/s ± 9.2%
Z= 14.92 m/s/s ± 2.5%

11. Assuming x, t, and a are related as in a=2x/t2, find the value for %σt if x = 5.0 ± 0.1m and a =10.0 ± 0.5 m/s/s.

12. If α = 0.60 ± 0.03 and t = 0.40 ± 0.01 what is the value of σ for z=exp(-αt)? (exp is the exponential function)

Solution PreviewSolution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Physics Questions: Measurement Uncertainties
    $18.00 for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available General Physics Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats