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Simple typo question: Radial & circumferential components of velocity
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[QUOTE="s3a, post: 4515528, member: 235803"] [h2]Homework Statement [/h2] [u]Here is the part of the problem that I am referring to (that is also fully portrayed in a more aesthetically-pleasing manner in the TheProblem.jpeg attachment).[/u]: Consider a particle moving on the curve whose equation in polar coordinates is r = 1 + cos(θ). The rate of change of θ is given as [b]2 [u]radius[/u] per second[/b]. The solution to part (a) is also attached as TheSolution.jpeg, should it prove useful. Determine for the point with rectangular coordinates [½ + 1/√(2), ½ + 1/√(2)] the (a) radial and circumferential components of the velocity. [h2]Homework Equations[/h2] Derivatives, chain rule and trigonometry. [h2]The Attempt at a Solution[/h2] In the problem, it says that the rate of change of θ is given as 2 [b][u][i]RADIUS[/i][/u][/b] … I just wanted to ask/confirm if the author intends to say 2 RADIANS or 2 RADII. I think the author meant RADIANS because, it seems more likely that the θ (angle) variable uses an angular unit. So, what would be the value of ##ν_r## when the units are included? Would the value be –√(2) radians/second or radii/second? My confusion arises from the fact that I am searching for the velocity along the radius but, I think the rate of change of θ as time passes is in radians but, I would very much appreciate any confirmation/contradiction! [/QUOTE]
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Simple typo question: Radial & circumferential components of velocity
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