Parallelogram Method Vector Analysis

Embed

Social
Select the file type you wish to download
Slide Content

Slide 1  Parallelogram Method
 Using the Trigonometric Technique

Slide 2  Simple Velocity Vector Problem
 Tom can swim 15.0 m/s in still water. He swims straight East across a river that is flowing South at 11.0 m/s. The river is 125m wide.
 What is his resultant velocity relative to the bank?
 How long does it take him to get across?
 How far down the bank does he get out?

Slide 3  Parallelogram Method
 All vectors originate from one point.
 Sketch component vectors.
 Complete the parallelogram.
 Draw the diagonal. This is the resultant.
 Use Pythagorean theorem to calculate the magnitude of the resultant.
 Use sin, cos, or tan to determine an angle.
 Determine the direction of the resultant.

Slide 4  Tom can swim 15.0 m/s in still water. He swims straight East across a river that is flowing South at 11.0 m/s. What is his resultant velocity relative to the bank?
 15 m/s E
 11 m/s S
 11 m/s S
 15 m/s E

 c2 = a2 + b2
 c = (15m/s)2+(11m/s)2
 c = 18.6 m/s
 tan = opp/adj
 = tan1(11m/s)/(15m/s)
 =36.3o
 Answer:
 18.6 m/s @ 36.3o S of E
 or
 18.6 m/s @ 126o

Slide 5  The river is 125m wide.How long does it take him to get across?
 15 m/s E
 11 m/s S
 11 m/s S
 15 m/s E

 v = d/t
 t = d/v
 t = 125m / 15m/s
 t = 8.33s
 18.6 m/s

Slide 6  How far down the bank does he get out?
 15 m/s E
 11 m/s S
 11 m/s S
 15 m/s E

 v = d/t
 d = vt
 d = (11m/s)(8.33s)
 d = 91.7m
 18.6 m/s