Question 1: What formula gives the magnitude, a , of the acceleration vector in

Question

Question 1:

What formula gives the magnitude, a, of the acceleration vector in terms of r, and ?

Question 2: The following questions concern the algebraic relations among angular and linear coordinates. Assume that the point in question has x(t) = r cos[(t)] and that y(t) = r sin[(t)].  

a) What is the algebraic expression for the speed v for uniform circular motion in terms of the point's angular speed and radius r?

b) For uniform circular motion, what is the algebraic expression for (t) in terms of the initial angle 0, the angular speed and t?

c) What is the algebraic expression for the x-position implied by the formula given in part (b)? You want x(t) in terms of r, 0, and t.  

d) What is the algebraic expression for the x-velocity vx(t) implied by the formula given in parts (b) and (c)? You want vx(t) in terms of r, 0, and t.

Explanation / Answer

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