There are a couple of equations for frequency but the

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Unformatted text preview: atter and Matter FB = q V µ B (a) It's just (b) The centripetal force is found from Newton's second law, d d F = … ÅÅÅÅpÅÅ … = » ÅÅÅÅÅ Hg m vL », Å dt dt along with the very important relation d v2 » ÅÅÅÅvÅ » = ÅÅÅÅÅÅ Å dt r The fact that the speed, and therefore g, is constant in time give d v2 F = g m » ÅÅÅÅvÅ » = g m ÅÅÅÅÅÅ Å dt r (c) First, you must recall that frequency is cycles per second. There are a couple of equations for frequency, but the important one here is f = speed ê distance which you might be able to guess just from units. The speed here is the speed that the particle is moving around the circle, the tangential speed. The distance is the circumference, how far the particle has to go to complete one cycle. So in terms of the variables above, we have f = ÅÅÅÅÅvÅÅÅÅrÅ 2p d Now to use (b) to get a r. Solve » FB » = … ÅÅÅÅpÅÅ … for r. Å dt » FB » = q v B sin 90 ° = q v B since v and B are perpendicular, q is 90°. So we have v2 q v B = g m ÅÅÅÅ...
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This document was uploaded on 02/26/2014 for the course PHYS 2D at UCSD.

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