Consider a rectangular coordinate system with origin at the center of the earth z-axis through the North Pole, and -axi...
5.168 The Earth has a radius of approxinh ever 6000 km and rotates around its axis every 24 h. James begins at the South Pole and flies, drives, and boats so that he is always going due North at 50 km/h. (Note that he maintains a distance of 6000 km from the center of the Earth-the origin-and that while he trav- els North, he is also spinning with the Earth.) We take the axis of rotation as our z-axis. (a)...
The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 57.0 ° north of the equator.
The earth rotates once per day about an axis passing through the north and south poles, an axis that is perpendicular to the plane of the equator. Assuming the earth is a sphere with a radius of 6.38 x 106 m, determine the speed and centripetal acceleration of a person situated (a) at the equator and (b) at a latitude of 64.0 north of the equator. (a) v= ac- (a) v = Units Units Units Units
1. A point-charge q moving at velocity valong the z-axis is passing through the coordinate origin (a) Calculate aEa t in the Coulomb approximation on the +z-axis ahead of the charge [qy2π4 (b) Use the Biot-Savart law to calculate Βφ off-axis near the point in (a), ati distance r« z from it (use (c) Check (i) that VxB has the expected value (predicted by the relevant Maxwell's equation) in the cylindrical coordinates)o1. neighborhood of the point in question, and (ii)...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame, Ω. Find any cross products in this problem. This problem will have calculation in the non inertial frame S which rotates with the Earth about its axis. Earth is motionless in the S frame. The xyz coordinate system originates at the center of the Earth, the North Pole is on the positive z axis. At t = 0, a ball of mass m is...
pe the earth at a rate of around 30 watts per cubic kilometer. (A watt is a rate of heat production.) The heat then flows to the earth's surface where it is lost to space. Let F(x,y, z) denote the rate of flow of heat measured in watts per square kilometer. By definition, the flux of F across a surface is the quantity of heat flowing through the surface per unit of time. (a) Suppose that the actual heat generation...
A cyclindrical container filled with a liquid of density p rotates about an axis through its center with an angular velocity w. A Cartesian coordinate system in standard orientation is introduced with its origin at the lowest point on the fluid surface. The pressure above the liquid surface is P_0. (a) Notice that a thin imaginary tube with cross-section area A lies along the -axis. Draw a free boy diagram for a slice of liquid within this tube, lying between...
BOX 5.1 The Polar Coordinate Basis Consider ordinary polar coordinates r and 0 (see figure 5.3). Note that the distance between two points with the same r coordinate but separated by an infinitesimal step do in 0 is r do (by the definition of angle). So there are (at least) two ways to define a basis vector for the direction (which we define to be tangent to the r = constant curve): (1) we could define a basis vector es...
G00 Rapid move G0 X# Y# Z# up to eight axes or GO Z# X# Gol Feed Rate move G 1 X# Y# Z# up to eight axes or G1 Z# X# G02 Clockwise move X# Y#1# J# G03 Counter Clockwise move X# Y#1# G04 Dwell time G04 L# G08 Spline Smoothing On G09 Exact stop check, Spline Smoothing Off G10 A linear feedrate controlled move with a decelerated stop G11 Controlled Decel stop G17 XY PLANE G18 XZ PLANE...
activity 9.2 map location, distances, directions and
symbols
ap Locations, Distances, Directions, and Symbols Activity 9.2 Name: Date: Course/Section: What are the latitude-longitude coordinates of point B in Fig 9.2 Latitude Longitude Refer to Fig. 9.8, which describes the Public Land Survey System (PLSS) 1. Review Fig. 9.8 to understand how the location of point X in Fig. 9.8C was determined using PLSS shorthand. What is the location of point Z in Fig. 9.8C in PLSS shorthand? 2. How many...