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Lec8p1, ORF363/COS323 - Princeton University

Consider a point , a direction , and the univariate function The rate of change of at in direction is given by which by the chain rule equals By the Cauchy-Schwarz inequality (see, e g , Theorem 2 3 of [CZ13] for a proof), we have: which after simplifying gives So the rate of change in any direction cannot be larger than or



CHAPTER 6

(when pointing perpendicular to the index finger) shows the direction of the current The outwardly extending thumb, then, points in the direction of the electromagnetic force When the flux and current are perpendicular the force magnitude is given by where B is the flux density, I is the current, and F is the induced force Left-Hand rule 8



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Wind Direction Starboard Tack Wind coming over the starboard (right) side of boat Sails on port (left) side Port Tack Wind coming over the port (left) side of boat Sails on starboard (right) side Wind Direction Overlapped Clear Ahead Clear Astern Avoiding Collisions -All boats are required by rule to avoid a collision if possible



1 Right Hand Rule Practice1 Right Hand Rule Practice Using

2 Right Hand Rule Practice2 Right Hand Rule Practice Using the right hand rule, find the direction of the missing information in the diagram (A) up (B) down (C) left (D) right (E) into the page (F) out of the page (in your face) Using the right hand rule, find the direction of the missing information in the diagram (A) up (B) down



Chapter 27 – Magnetic Field and Magnetic Forces

Right Hand Rule Positive charge moving in magnetic field direction of force follows right hand rule Negative charge F direction contrary to right hand rule F = qvB ⊥ Units: 1 Tesla = 1 N s / C m = 1 N/A m 1 Gauss = 10-4 T



Surveying - traverse - web - Memphis

A simple method that is useful for rough area estimates is a graphical method In this method, the traverse is plotted to scale on graph paper, and the number of squares inside the traverse are counted A D C B Distance - Traverse Methods of Computing Area A C B a b c 1 sin 2 Area ABC ac Distance - Traverse Methods of Computing Area A C B a b c 1



Map Patterns and Finding the Strike and Dip from a Mapped

North direction on the map In Figure 9, the strike is north-south (= 000 = 180 ) Calculating Dip By de nition, dip is perpendicular to strike, and by using the Rule of V’s (Figure 7) you can determine the direction of dip To determine the angle of dip, you must use strike lines at di erent elevations

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