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Physics and Measurement

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Measurements Basic units of measure LengthMeter MassKilogram (1kg = 2.2lbs) WeightNewton (1kg = 10N) TimeSecond

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

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

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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

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

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Vectors ForForce (weight) EverElectric Field Strength AtAcceleration The Torque DDisplacement MMomentum VVelocity

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Vector Components Vectors can be broken down into horizontal and vertical components Right Triangles θ H Hcos θ Hsin θ

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

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

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Direction Vectors always have a direction N E S W

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Direction What if you dont know which way is north? 90° 0° 270° 180°

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Standard Convention 90° 0° 270° 180°

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

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