# lab report #1 part b

## lab report #1 part b

plz help me as much as you can!! thank you so much!!

2.Lab 1 Part II Period vs Angle - Error of Difference:

The error for the difference of two quantities A and B , which have known absolute errors A and B is given by the right hand side of equation (6) in "Error and Uncertainty". The error for the difference between two time measurements and with absolute errors and is:
(use DeltaT_1 for , DeltaT_2 for and sqrt(...) for )

3.Lab 1 Part II Period vs Angle - Error of Factor Times Quantity:

The abslolute error of a constant factor times a quantity which has a known absolute error is given in equation (3) in "Error and Uncertainty". If the absolute error of is , the absolute error of is:
(use DeltaT_10 for )

4.Lab 1 Part II Period vs Angle - Value of Error of:

Assume the absolute errors of the begin time and end time of the time interval are of a second each. Calculate the value of the absolute error with 4 significant digits (see Ch 1 sheet 9) for the difference .
Consult the correct answer to question "Lab 1 Part II Period vs Angle - Error of Difference".

Using the correct answer to question "Lab 1 Part II Period vs Angle - Error of Factor Times Quantity" the absolut error of 1 period is:
6.Lab 1 Part II Period vs Angle - Compare Periods:

Is the period independent of the angle ?
Label the period at the angles ~150, ~300, ~800 with respectively.
If the following ratio
< 1
the two values are closer to each other than the absolute error of their difference and the two values and are considered to be equal within error.
Give the expression for the absolute error of the difference, in terms of the absolute erors and , using equation (6) of "Error and Uncertainty" below:
(use DeltaT_1 for , DeltaT_2 for and sqrt(...) for )

7.Lab 1 Part III Relation Between and - Error of Single Measurement of :

Use equations (5') and (5") in "Error and Uncertainty" for measurements to express the absolute error of a single measurement in terms of and , where is the error of the average , below:
(use DeltaLavg for )

9.Lab 1 Part III Relation Between and - Errors for and :

Use equation ( in "Error and Uncertainty" to calculate the relative errors and of and in terms of the relative errors and of and . Then convert them using equation (4) in "Error and Uncertainty" to get the expressions for the absolute errors and . Give both expressions below:
(use DeltaL for , DeltaT for )

11.Lab 1 Part III Relation Between and - Slope of vs :

The period of a simple pendulum is given by (see Ch 9 sheet 29)

.
Solve this equation for ,
(use "pi" for ) :

Write this equation in the form below, expressing in terms of the symbols used in the equation above.

Identify the slope of the vs graph and give its expression below

12.Lab 1 Part III Relation Between L and T - Slope of vs (Symbols) :

The symbols in the equation for the period (first equation in the previous question) are:

= No answer (0%) of the pendulum
= No answer (0%) of the pendulum
g = No answer (0%) of gravity .

The equation of the form can be represented as a straight line graph. From Algebra we know that a straight line can be written as where, using the symbols in the equation , we can identify

the slope = No answer (0%)

The length is measured from the pivot point at the top down to the No answer (0%)
of the suspended sphere. The formula for the period given is an approximation that holds for
No answer (0%) angles. The period (depends, does not depend) No answer (0%) on the mass of the suspended sphere.

14.Lab 1 Part III Relation Between and - from Slope :

Solve the correct equation for the slope from question "Lab 1 Part III Relation Between L and T - Slope of L vs T Squared" to relate the acceleration of gravity to the slope .

Give the expression for the absolute error using equation (1) in "Error and Uncertainty" and your relation above in terms of the absolute error of the slope,
(use Deltak for )
Lab 1 Part III Relation Between and - Value of from Slope :

15. Enter your values for the slope of the vs graph and its absolute error in S.I.Units below.

Slope
Error

S.I.Unit

Values

Using the correct expressions from the previous question calculate your values for the acceleration of gravity and its absolute error and enter them in S.I.Units below, together with the expected value of . Calculate with 4 significant digits.

Expected

S.I.Unit

Values

Calculate the magnitude of the difference between your measured value and the expected value , divided by the error of your measured , and state , whether the two values are consistent within error or not.

= .
The two values are (consistent, inconsistent) within error.

Park

Posts : 6
Join date : 2008-09-18

## Important

hey. I just did a make up lab#1. Can somebody help mi with questions 7,11, and 14 on mapleTA. ? please

guest5
Guest

## Re: lab report #1 part b

Question 7 is asking for the formula you use to find the error of L. It is given by Equation 5'' in the Error and Uncertainty. Through some algebra we can find it to suit our needs and we get ΔLAvg*√(N-1). Just substitute the symbols with the wording they give you.

Question 11 for the first half using algebra rewrite the formula to solve for L. k will be the same formula for L except you do not need T2. Your k value is your slope and can actually be inserted into a y=mx+b formula.

Question 14 you obtain g from the Question 11. Again use algebra to find it, this one is a bit simpler. For the Δg it is the same formula except you need to multiply Δk instead of k.

Try going on with that information, think it out, watch your math and see how well you do.

Guest01

Posts : 133
Join date : 2008-09-19