one lab report in 12 hrs

Spring 2014

Wentworth Institute of Technology

Applied Mathematics and Sciences

Engineering Physics I

Experiment # 2

VECTOR ADDITION

Purpose: To study vectors and vector addition in Cartesian and Polar coordinates.

Equipment: Map of Italy, ruler and protractor.

Discussion: Today we are going on a trip to Italy. With a little imagination, we can board one of the Italian airlines Alitalia’s 767 jet and escape to an unforgettable Mediterranean vacation. Fasten your seat belts as we are about to take off from Boston to Milan.

Suppose we start our itinerary in Milan. In our tour, in addition to sightseeing, enjoying gourmet meals from different regions, swimming and relaxation, we are going to travel to eight cities and towns in the order given below.

We are going to travel from Milan (Milano) to Venice (Venezia), from Venice to Florence (Firenze), and then from Florence to the eternal city of Rome (Roma) by train. Then, we will proceed to Naples (Napoli), Bari, Messina and Palermo by tour bus. Finally, we take a Mediterranean cruise from Palermo to Gaeta where we spend the rest of the trip visiting friends and relatives and enjoying one of the nicest beach on the Tyrrhenian sea.

Procedure: Using the metric scale given on the map,

(a) Measure the displacement vector ( via the magnitude and direction using a ruler and protractor ) from each city or town to the next city or town for a total of 8 displacement vectors.

(b) Resolve each of the above vectors into their component forms.

(c) Add these displacement vectors by the component method to find the resultant displacement vector. (this is your theoretical value)

(d) Measure the resultant displacement vector on the map. (mag. and direction)

How does the calculated displacement vector compare to the measured displacement vector (magnitude and direction) ?

Compute the Percent Errors between the Mag. and Direction of the measured and the resultant component versions. Then, Compare your answers to Google Maps estimated distance between the first and last city, and get a percent error between the REAL (google) and the average of your two methods for magnitude and direction.

Type a laboratory report according to the format given in the syllabus indicating every step of the process taken to justify the comparison of the calculated and experimental results. are a few sources of error here, so please be sure to note them in your write up. Think about what they could be, and be creative.

LAB FORMAT

Title

Name

date

· Purpose of the experiment

· Material and Methods

· Results and data

· Analysis and discussion

· Conclusion

LAB DATA

Here are Distances and directions you need from the "Map": Milan to Venice= 2.5km 0 degrees east  Venice to Florence= 1.96km 112 degrees from east to south . Florence to Rome= 2.14km 65 degrees east from south. Rome to Napoli= 1.78km 40 degrees from eat to south. Napoli to Bari= 2.32km 10 degrees northeast. Bari to Milan= 3.21km 108 degrees south west.  Milan to Palermo= 2.14km 9 degrees south west.