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8-2 Vector Word Problems class notes (1).pdf
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- 3. Example 1 7 m/s 30m/s Frisbee:<30cos47, 30sin47> = <20.46, 21.94> Add the Forces: Resultant: <7+20.46, 0+21.94> = <27.46, 21.94> Forces: Running: <7, 0>
- 4. Visually, what wejust did… running Frisbee Resultant We are asked to find the magnitude…so now we just need to use the resultant’s components r = <27.46, 21.94> Now, we need to find the direction, (ahem, angle)…so again, we use the resultant’s components
- 5. Example 2 230N 300N Forces: Twin: <-300,0> Robert: <230cos120, 230sin120> = <-115, 199.186> Add the Forces: Resultant: <-300+-115, 0+199.186> = <-415, 199.186>
- 6. Visually, what wejust did… twin Robert Resultant We are asked to find the magnitude…so now we just need to use the resultant’s components r = <-415, 199.186> Now, we need to find the direction, (ahem, angle)…so again, we use the resultant’s components
- 7. Example 3 Forces: Plane: <700,0> Wind: <80cos27, 80sin27> = <71.28, 36.32> Add the Forces: Resultant: <700+71.28, 0+36.32> = <771.28, 36.32> E N S W 700 mph 80 mph
- 8. Visually, what wejust did… Plane Wind Resultant We are asked to find the speed (magnitude)…so now we just need to use the resultant’s components r = <771.28, 36.32> Now, we need to find the angle of the flight, so again, we use the resultant’s components
- 9. Example 4 Forces: Plane: <-580cos62,580sin62> Wind: <60cos45, 60sin45> Add the Forces: Resultant: <-580cos62 + 60cos45, 580sin62 +60sin45> = <-229.867, 554.536> E N S W 580 mph 60 mph
- 10. Visually: Plane Wind Resultant Speed (magnitude): usethe resultant’s components r = <-229.867, 554.536> Angle: use the resultant’s components Remember, we’re bearing north, so it’s 270 + 67.485
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