Problem 8. A sphere of radius R is rotating about its z-axis at an angular speed...

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Problem 8. A sphere of radius R is rotating about its z-axis at an angular speed w. The linear velocity is given by V = w X r where r is the location of any point inside the sphere. 1. Show that the speed can be written as v = rw sin 0, where 0 is the azimuthal angle. 2. On the same plot, sketch the rotation curves for 0 = /6 and 0 = 7/2. Problem 8. A sphere of radius R is rotating about its z-axis at an angular speed w. The linear velocity is given by V = w X r where r is the location of any point inside the sphere. 1. Show that the speed can be written as v = rw sin 0, where 0 is the azimuthal angle. 2. On the same plot, sketch the rotation curves for 0 = /6 and 0 = 7/2.