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Foundation Science Presentation 1

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Vector and scalar quantities are discussed, as well as velocity vs speed, and displacement vs distance

Vector and scalar quantities are discussed, as well as velocity vs speed, and displacement vs distance

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  • 1. Today’s Objectives-Learn what vector and scalar quantities are-Be able to distinguish between vector and scalar quantities-Learn if some common measurements (speed, weight…) arevector or scalar quantities-Learn the differences between speed and velocity-Learn the difference between displacement and distance
  • 2. What is a Scalar Quantity?Scalar quantities have only magnitude (=how much)Examples: • 10 meters • 2 liters • 20 kilometers per hour • 30 baht
  • 3. What is a Scalar Quantity?Scalar quantities have only magnitude (=how much)Examples: • 10 meters • 2 liters • 20 kilometers per hour • 30 baht Scalar 10 meters
  • 4. What is a Vector Quantity?Vector quantities have magnitude AND directionExamples: • 10 meters to the northeast (=displacement) • 100 kilometers and hour to the west (=velocity)
  • 5. What is a Vector Quantity?Vector quantities have magnitude AND directionExamples: • 10 meters to the northeast (=displacement) • 100 kilometers and hour to the west (=velocity) Vector 10 meters to the NE
  • 6. Why are Vectors Important?Can an asteroid’s path bedescribed using vectors?Yes! Asteroids havespeed AND a directionWe know whenmeteor showers arecoming because ofour understanding ofvectors
  • 7. PracticeLabel each quantity scalar or vector1. 80GB2. 20 meters per second to the north3. 20 degrees Celsius4. 25 centimeters5. 8 Newton force upward6. 35 seconds7. 1.3 billion people in China8. 80 kilograms
  • 8. AnswersLabel each quantity scalar or vector1. 80GB no direction = scalar2. 20 meters per second to the north has a magnitude and direction = vector3. 20 degrees Celsius no direction = scalar4. 25 centimeters no direction = scalar5. 8 Newton force upward magnitude and direction = vector6. 35 seconds no direction = scalar7. 1.3 billion people in China no direction = scalar8. 80 kilograms no direction = scalar
  • 9. Displacement vs DistanceDistance – how far something moved (meters)Displacement – how far, AND what direction something moved(meters to the NW) Displacement Distance VECTOR 18 km 18 m to the NW SCALAR
  • 10. Displacement vs Distance Distance – how far something moved (meters) Displacement – how far, AND what direction something moved (meters to the NW) Is the red or yellow line distance? DISTANCE Red is distance = how far moved Finish Yellow is displacement = how far and what direction DISPLACEMENT Displacement is always a straight line, and will always be shorter than distanceStart
  • 11. Displacement vs DistanceDistance – how far something moved (meters)Displacement – how far, AND what direction something moved(meters to the NW) Classwork: 1. A man walks around the outside of park and ends up in the same spot he started. What is his displacement? How much distance did he travel? 1km *His displacement is 0 *His distance traveled is 4 km 1km PARK 1km Start*Scalar or vector? 1km Finish
  • 12. SpeedSpeed is how fast an object is travelingSpeed = distance (in meters) time (in seconds)s=d tIt takes a swimmer 57.2 seconds to swim a distance of 100 m.What is the swimmer’s average speed?
  • 13. SpeedSpeed is how fast an object is travelingSpeed = distance (in meters) time (in seconds)s=d tIt takes a swimmer 57.2 seconds to swim a distance of 100 m.What is the swimmer’s average speed? s = d = 100m = 1.75 m/s t 57.2s
  • 14. SpeedSpeed is how fast an object is travelingSpeed = distance (in meters) time (in seconds)s=d tIt takes a swimmer 57.2 seconds to swim a distance of 100 m.What is the swimmer’s average speed? s = d = 100m = 1.75 m/s t 57.2s Scalar or vector??
  • 15. SpeedSpeed is how fast an object is travelingSpeed = distance (in meters) time (in seconds)s=d tIt takes a swimmer 57.2 seconds to swim a distance of 100 m.What is the swimmer’s average speed? No direction s = d = 100m = 1.75 m/s t 57.2s Scalar or vector?? Scalar
  • 16. VelocityVelocity is how fast an object is going, AND its directionVelocity = displacement (in meters) time (in seconds)Remember, displacement is distance AND directionIf you need to go from point A to point B in 10 minutes, whatvelocity do you need to get there on time? 3.7 km N A B W EVelocity = 3.7 km east = 0.37 km east/ minute 10 minutes S Scalar or vector? Vector because has direction
  • 17. Speed vs VelocitySpeed – how fast something is moving (m/s)Velocity – direction and speed of an object (displacement/s)
  • 18. Speed vs VelocitySpeed – how fast something is moving (m/s)Velocity – direction and speed of an object (displacement/s)If I say “I’m driving 85 kilometers per hour in Chiang Mai”, is that avector or scalar measurement??
  • 19. Speed vs VelocitySpeed – how fast something is moving (m/s)Velocity – direction and speed of an object (displacement/s)If I say “I’m driving 85 kilometers per hour in Chiang Mai”, is that avector or scalar measurement?? Speed has no direction = Scalar
  • 20. Speed vs VelocitySpeed – how fast something is moving (m/s)Velocity – direction and speed of an object (displacement/s)If I say “I’m driving 85 kilometers per hour in Chiang Mai”, is that avector or scalar measurement?? Speed has no direction = ScalarIf I say “I’m driving 85 kilometers and hour north toward ChiangMai”, is that a vector or scalar measurement??
  • 21. Speed vs VelocitySpeed – how fast something is moving (m/s)Velocity – direction and speed of an object (displacement/s)If I say “I’m driving 85 kilometers per hour in Chiang Mai”, is that avector or scalar measurement?? Speed has no direction = ScalarIf I say “I’m driving 85 kilometers and hour north toward ChiangMai”, is that a vector or scalar measurement?? Velocity has speedand direction = Vector
  • 22. Some Common MeasurementsMeasurement Example Vector or Scalar Speed 20 meters/second no direction = scalar Length 12m no direction = scalar Displacement 10m to the north direction = vector Volume 3 Liters no direction = scalar Area 23 meters squared no direction = scalar Mass 29 grams no direction = scalar Velocity 60km/h to the north direction = vector Force 56 Newtons down direction = vector
  • 23. Decide Scalar or VectorEnergy Scalar VectorLengthAreaVolumeSpeedDisplacement TimeVelocity TemperatureMassForce
  • 24. Remember…Scalar quantity has no directionVector quantity has directionDisplacement is distance with directionVelocity is speed with directionDon’t let these words scare you, they soundcomplicated, but they really aren’t.
  • 25. Complete Questions in NotebookDirections: Write vector or scalar 15-21 Complete the table1. 40 baht ______________2. 20 Joules ______________ Measurement Scalar or Vector3. 1.2 billion atoms ______________4. 28 degrees Celsius ______________ 15. Mass5. 8 km/hr west ______________6. 25 N down ______________ 16. Displacement7. 3 Liters ______________ 17. Area8. 23 km/hr in Bangkok______________9. 10 m west ______________ 18. Velocity10. 79 kg ______________ 19. ForceDirections: fill in11. Velocity is speed with __________. 20. Speed12. Displacement is direction and __________. 21. WeightA mountain bike rider followed the red line13. What was his displacement? 53km14. What was his distance traveled? Write questions and Finish answers in notebook 27km NE Start

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