Physics and Measurement

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Presentation transcript:

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

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

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

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

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

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

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

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

Direction Vectors always have a direction N W E S

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

Standard Convention 90° 180° 0° 270°

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