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(Solved) "Of-'13- CTMobile "5' 10:17 PM E sitesmathwashington.edu 4. (16 points) A circle centered at the origin passes through the point...


I am wondering how to solve (d) and (e) (cuz I don't know how to calculate the angular velocity).. I am totally fine with a, b and c Thanks!

"Of-'13- CT—Mobile "5‘ 10:17 PM
E sitesmathwashington.edu 4. (16 points) A circle centered at the origin
passes through the point (9,12) (the units are
feet). A tube that is tangent to the circle con-
nects this point to a point on the :r-axis. At
time t = 0 an object starts up the tube from the
x-axis, traveling at constant speed 60 ft/rnin. When it reaches the end of the tube at (9,12),
it starts rotating counterclockwise around the circle, still at the same speed. (a) Find the slope of the tube, the point where it meets the x-axis, the length of the tube,
and the time t1 that the object takes to travel the length of the tube. (b) Find the horizontal and vertical velocities of the object while it is in the tube. (c) Give parametric equations for the object’s motion while it is in the tube. This problem continues on the next page. ((1) Find the initial angular position (in radians) of the object on the circle at time t1, and
also find the object‘s angular velocity when traveling around the circle.

 


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