S13Phys2BaLec21A

# Lockheed martin astronautics spacecraft builders

• Notes
• 22

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Lockheed-Martin Astronautics (spacecraft builders) programmed in conversion information for telemetry data with English units. NASA’s JPL (navigation) used SI units. Mix up caused crash.

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Significant Figures We will follow the general rules of significant figures in this class. How many significant figures does the value 500m have? 1. How many significant figures does the value 0.005m have? 1. How many significant figures does the value 0.0050m have? 2.
Trigonometry

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Vectors Unit vectors are a compact way to express vectors by breaking their components into three possible directions. They correspond to Cartesian coordinates (x,y,z) by the following: x ˆ i y ˆ j z ˆ k ˆ i ˆ j ˆ k For example, a vector of magnitude 5.0m at +45 o to the x-axis can be equivalently written as: A = 3.5m ( ) ˆ i + 3.5m ( ) ˆ j A x = r cos θ = 5m ( ) cos45 ° ( ) = 3.5m A y = r sin θ = 5m ( ) sin45 ° ( ) = 3.5m
Calculus You are expected to be able to perform simple calculus in homework and on exams. Be prepared to use the following: Simple derivatives: d dx ax 2 + bx + c ( ) = 2 ax + b d dx cos ax ( ) = ! a sin ax ( ) Simple integrals: Multi-variable calculus: ! ! y cos xy ( ) = " x sin xy ( ) r a 2 + r 2 ( ) 3/2 dr = ! 1 a 2 + r 2 " + C

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Calculus Be prepared to use calculus with plots. Such as calculating the area under a curve. Also be prepared to use calculus with word problems. Such as maximization problems (for example, finding the largest cylinder inscribed in a sphere). Your first homework assignment is to review this math.
For Next Time (FNT) Download and read syllabus and article Read Chapter 21 Start on the math homework assignment. When is the first quiz? In just under two weeks (Friday, 4/12)
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• Spring '08
• schuller
• Physics, International System of Units, Conversion of units, Mayer Hall

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