Suppose that the clock on our lecture room has a minute-hand length of 10 cm. (Use a coordinate system with the origin at center of clock and +x axis along the 3PM direction and the +y direction along the 12PM direction). From the 12 to 8 mark, for the tip of the minute hand: a) Sketch a vector diagram labeling ri, rf, Δr, Vi, Vf, and ΔV. b) Calculate the displacement vector in unit-vector notation. c) Calculate the average velocity vector in unit-vector notation. d) Calculate the average acceleration vector in unit-vector notation. e) Calculate magnitude and direction of the average acceleration vector. f) Calculate the magnitude and direction of the total acceleration of the tip of the minute hand at the 6 mark.
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Suppose that the clock on our lecture room has a minute-hand length of 10 cm.
(Use a coordinate system with the origin at center of clock and +x axis along the
3PM direction and the +y direction along the 12PM direction). From the 12 to 8
mark, for the tip of the minute hand:
a) Sketch a vector diagram labeling ri, rf, Δr, Vi, Vf, and ΔV.
b) Calculate the displacement vector in unit-vector notation.
c) Calculate the average velocity vector in unit-vector notation.
d) Calculate the average acceleration vector in unit-vector notation.
e) Calculate magnitude and direction of the average acceleration vector.
f) Calculate the magnitude and direction of the total acceleration of the tip of
the minute hand at the 6 mark.
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