An amusement park ride (known variously as the Rotor, the Turkish Twist and the Graviton) consists of a large vertical cylinder that is spun about it axis fast enough such that the riders remain pinned against its inner wall. The floor drops away once the cylinder has attained its full rotational speed. The radius of the cylinder is R and the coefficient of static friction between a rider and the wall is H. (i)Show that the minimum angular speed necessary to keep a rider from falling is given by w = √√g/μ, R. (ii) Obtain a numerical value for frequency in revolutions per minute if R = 4 m and u, = 0.4. www. 40 Mg

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An amusement park ride (known
variously as the Rotor, the Turkish Twist and
the Graviton) consists of a large vertical
cylinder that is spun about it axis fast enough
such that the riders remain pinned against its
inner wall. The floor drops away once the
cylinder has attained its full rotational speed.
The radius of the cylinder is R and the
coefficient of static friction between a rider and
the wall is us. (i)Show that the minimum
FAICT
angular speed necessary to keep a rider from
falling is given by o = √g/us R. (ii) Obtain a
numerical value for frequency in revolutions
per minute if R = 4 m and us = 0.4. encloso
TOO
07
Fig. Ex. 44; The rotor (an amusement
park ride) (For reference only)
Transcribed Image Text:An amusement park ride (known variously as the Rotor, the Turkish Twist and the Graviton) consists of a large vertical cylinder that is spun about it axis fast enough such that the riders remain pinned against its inner wall. The floor drops away once the cylinder has attained its full rotational speed. The radius of the cylinder is R and the coefficient of static friction between a rider and the wall is us. (i)Show that the minimum FAICT angular speed necessary to keep a rider from falling is given by o = √g/us R. (ii) Obtain a numerical value for frequency in revolutions per minute if R = 4 m and us = 0.4. encloso TOO 07 Fig. Ex. 44; The rotor (an amusement park ride) (For reference only)
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