Lab 1 Report- LM
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School
Collin County Community College District *
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Course
1411
Subject
Mathematics
Date
Feb 20, 2024
Type
xlsx
Pages
11
Uploaded by MateValor13412
Experiment 1 : Calculations, Graphing and Data Analysis
2/8/2024
Student Name:
Lohan Molinar
REPORT
Section Number:
1401.031
Instructions
1)
Follow all of the lab activity steps given in the Lab Procedure.
2)
3)
4)
Attach additional sheets of paper that clearly (NEATLY) show all of your calculations performed during this experiment. Questions ( Show all the work)
1)
What is the area of a circle of radius a) 14.73 m b) 3.6 m?
a) 681.6 m^2, b) 40.72 m^2
a) 10000 cm^2 in 1m^2 b) 1x10^9 = 1 cubic kilometer
3)
Wall posters are usually sold curled up in cylindrical cardboard tubes. If the length of the (Assume the poster doesn't overlap itself.)
646.16 cm^2
4)
How many miles are in 1 Light year?
Attach your completed
data tables to this page.
TYPE YOUR ANSWERS IN THE PROVIDED SPACES below & in your data tables. 2) How many cm
²
are in 1 m
² ? How many cubic meters are there in 1 cubic kilometer?
tube is 84.5cm and the diameter of the tube is 2.40 cm, what is the area of the poster in cm
2
?
A Light year is the distance that light travels in 1 year. The speed of light is 3.00 x 10 8 m/s.
x10^4 miles) / 1 meter = (1.86x10^5 miles/second)(3.15x10^7 seconds in a year) = 5.86x10^1
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Experiment 1 : Calculations, Graphing and Data Analysis
2/8/2024
Group Memebers Names:
Jahziel, Carlo, Armina, Lohan
DATA
Section Number:
1401.031
A. Distance Measurements
1. A typical sheet of printer paper is 8.5 inches wide and 11 inches long. Calculate the length of one sheet in cm?
2.54cm x 11in = 27.94cm
2. Calculate the length of the sheet in millimeters and meters. Show all steps used for the conversion.
.2794m= 279.4mm
3. Calculate the width of one sheet in cm?
2.54cm x 8.5in = 21.59cm
4. Calculate the width of the sheet in millimeters and meters. Show all steps used for the conversion.
215.9mm .2159m
5 Measure the length of the following objects in inches and then convert to cm.
Table 1.1
Object
Estimated Length (in)
Estimated Length (cm)
Pencil
5.75in
14.6cm
Lab Table
71.5
181.61cm
Key Board
17.5in
44.45cm
Calculator
7.4in
18.9cm
6. Estimate the distance from your house to Collin College in miles. Now convert your estimate to kilometers.
Remember 1 km = 0.62 miles.
13mi, 21km
B. Speed Measurements
7. Find the speed of sound in cm/min.
343m/s, 572cm/min
8. What is the speed of sound in miles/hour?
767.27mph
9. How many kilometers does sound travel in 5 min?
102.9km
10. How many kilometers does sound travel in 4 hours?
4939km
C. Significant figures
11. Complete the following table. Table 1.2
Number
Number of Significant figures
Scientific notation (3 SF)
0 .00300
3
3.0x10^-3
925,592
6
9.3x10^5
720
3
7.2x10^2
0.00235
3
2.35x10^-3
5.24
3
5.24x10^0
2500
4
2.5x10^3
12. Complete the following calculations using the proper number of significant figures
Table 1.3
Computation
Answer
2.34 - 1.293
1.05x10^0
10.37 + 4
1.45x10^1
12.47 / 3.2
3.90X10^1
134.3 x 37.66
5058
24.595 / 5.34
4.61
13. In an experiment to measure the acceleration due to gravity on the surface of earth a student a) What is the mean value of the student’s measurements?
9.87
b) Find the percent error of the mean value.
0.60%
D. Graphing
On a sheet of graph paper, plot a graph of Distance 2 versus Time (using the Table 1.1 in the Lab Manual). Be sure to follow the proper graphing procedures that we have outlined.
repeats the experiment 5 times. The values she got (in m/s
²
) are 9.75, 9.97, 10.14, 9.63, and 9.86. The accepted value of g is 9.81 m/s
²
.
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14. What is the slope of the graph? Show your work below.
(negative)3.6x10^-3 Look on next sheet
15. From your calculation in #14, what is the velocity of object 2?
(negative)4.74x10^-5
16. How does the velocity of object 2 compare to object 1? What can you say about the direction they are traveling relative to one another?
One is negatibe and the other is positive. They are going in opposite directions 17. The velocity of an object as a function of time is given in Table 1.4 below. a) Draw the velocity versus time graph of the object and find the acceleration.
Table 1.4 Time (s)
Velocity (m/s)
0
0
4
0.5
2
4
1
4
4
1.5
6
4
2
8
4
2.5
10
4
3
12
4
acceleration = 4
b) Is acceleration constant?
yes
c) Draw the acceleration versus time graph.
4.5
Chart Title
0
0.5
1
1.5
2
2.5
0
2
4
6
8
10
12
14
Velocity vs T
Column B
Column
0
0.5
1
1.5
2
2.5
3
3.5
0
0.5
1
1.5
2
2.5
3
3.5
4
Column B
Column F
Linear (Column F)
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3
3.5
Time
n C
Column D