Let the position of a point p in three dimensions be given by the vector r-cx, y,z) in rectangular (or cartesian) coordinates. the same position can be specified by cylindrical polar coordinates, p, φ, z, which are defined as follows: let p' denote the projection of p onto the xy plane: that is, p' has cartesian coordinates (x, y, 0). then rho and φ are defined as the two-dimensional polar coordinates of p' in the xy plane, while z is the third cartesian coordinate, unchanged. (a) make a sketch to illustrate the three cylindrical coordinates. give expressions for rho, φ, z in terms of the cartesian coordinates x, y, z. explain in words what rho is ("rho is the distance of p from are many variants in notation. for instance, some people use r instead of p. explain why this use of r is unfortunate. (b) describe the three unit vectors rho, φ,2 and write the expansion of the position vector r in terms of these unit vectors. (c) differentiate your last answer twice to find the cylindrical components of the acceleration a ř of the particle. to do this, you will need to know the time derivatives of rho and φ. you could get these from the corresponding two-dimensional results (1.42) and ( 1.46), or you could derive them directly as in problem 1.48. ").
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Physics, 22.06.2019 18:30
How many meters will a car travel if its speed is 45 m/s in an interval of 11 seconds? question 2 options: a) 450 meters b) 495 meters c) 4.09 meters d) 498 meters
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Physics, 22.06.2019 23:00
Awelder using a tank of volume 7.50×10^-2 m^3 fills it with oxygen (with a molar mass of 32.0 g/mol ) at a gauge pressure of 3.30×10^5 pa and temperature of 37.1 ∘c. the tank has a small leak, and in time some of the oxygen leaks out. on a day when the temperature is 23.1 ∘c, the gauge pressure of the oxygen in the tank is 2.00×10^5 pa . a) find the initial mass of oxygen. b) find the mass of oxygen that has leaked out.
Answers: 3
Physics, 23.06.2019 11:00
Research and discuss the aurora borealis in terms of electric charges, magnetic fields, and forces. which times of the year are best for seeing the northern lights, and where are the best places to view them? explain your answers. also identify links to good images. if you’ve ever seen the aurora borealis, describe your experience and note the time and place that you saw it.
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Physics, 23.06.2019 13:00
Earth has a mass of 5.97 x 1024kg, and a mean radius of 6.38 x 106m. what would be the orbital speed and period of a satellite in orbit 1.44 x 108 m above earth?
Answers: 2
Let the position of a point p in three dimensions be given by the vector r-cx, y,z) in rectangular (...
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