physicsvector

# Parallelogram Method Vector Analysis

Created 3 years ago

Duration 0:05:50
100
Slide Content
Tags: physics vector
1. ### Slide 1 - Parallelogram Method

• Using the Trigonometric Technique
2. ### 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?
3. ### 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.
4. ### 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-1(11m/s)/(15m/s)
•  =36.3o
• 18.6 m/s @ 36.3o S of E
• -or-
• 18.6 m/s @ 126o
5. ### 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
6. ### 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