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Physics and Measurement

Physics and Measurement. Measurements. Basic units of measure Length Meter Mass Kilogram (1kg = 2.2lbs) Weight Newton (1kg = 10N) Time Second. Scalar vs. Vector. Scalar Measurement that has magnitude (number) 5m Vector Measurement that has magnitude and direction 5m, east.

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Physics and Measurement

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  1. Physics and Measurement

  2. Measurements • Basic units of measure • Length Meter • Mass Kilogram (1kg = 2.2lbs) • Weight Newton (1kg = 10N) • Time Second

  3. Scalar vs. Vector • Scalar • Measurement that has magnitude (number) • 5m • Vector • Measurement that has magnitude and direction • 5m, east

  4. Scalar vs. Vector • Distance • Measurement of length • Displacement • Measurement of distance in a certain direction • Vector measured from starting point directly to end point

  5. Distance vs. Displacement • A person walks 2 miles North, then 4 miles East, and finally 2 miles South. Distance = 8 miles Displacement = 4 miles, East

  6. Scalar vs. Vector • Speed • Amount of distance traveled in a given amount of time (m/s) • Velocity • Speed in a direction

  7. Vectors • For Force (weight) • Ever Electric Field Strength • At Acceleration • The Torque • D Displacement • M Momentum • V Velocity

  8. Vector Components • Vectors can be broken down into horizontal and vertical components • Right Triangles H Hsinθ θ Hcosθ

  9. Examples • Find horizontal and vertical components X = Hcos θ X = 20cos 30 X = 17.32m 20m Y Y = Hsin θ 30° Y = 20sin 30 X Y = 10m

  10. Examples • Find horizontal and vertical components X = Hcos θ X = 4.6cos 60 4.6m X = 2.3m Y Y = Hsin θ Y = 4.6sin 60 60° Y = 3.98m X

  11. Direction • Vectors always have a direction N W E S

  12. Direction • What if you don’t know which way is north? 90° 180° 0° 270°

  13. Standard Convention 90° 180° 0° 270°

  14. Example • A student walks 6m at 0° and then 8m at 90°. What is the resultant displacement? R R= 10m, 53° 8m θ 6m

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