Unformatted text preview: 4 Problem 4: [12pt] A popular carnival
ride consists of seats hanging from
cables attached to a central disk. The
radius of the central disk is
m
and the length of the cables is
m.
(a) [6pt] If the cable makes an angle of
with respect to the vertical,
what is the speed of the passenger? The centripetal force on the passenger is
, where the total distance from
the center is
The centripetal force is the component of the
tension in the cables acting horizontally inward, so
The vertical forces on
the passenger balance, so
Combining these relations gives Then and (b) [6pt] What is the total tension in the cables supporting a chair and passenger of mass 65 kg? Using the equation for balancing the vertical forces in part (a), The final number has adequate precision, since all quantities were given to two
significant digits. 5 Problem 5: [12pt] Water is flowing in the
pipe depicted in the figure. Water
enters at 4.0 m/s from the left, where
the diameter is 5.0 cm, and leaves from
the right, 1.5 m higher, through a pipe...
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 Fall '12
 ScottYost
 Physics, Force, Friction, m/s, ball, goal post

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