In a charming 19th-centuryhotel, an old-style elevator is connectedto a counterweight by a cable that passesover a rotating disk 2.50 m in diameter. The elevator is raised andlowered by turning the disk, and the cabledoes not slip on the rim of the disk but turnswith it. (a) At how many rpm must the diskturn to raise the elevator at 25.0 cm/s?(b) To start the elevator moving, it mustbe accelerated at 18g. What must be theangular acceleration of the disk, in rad/s2?(c) Through what angle (in radians anddegrees) has the disk turned when it hasraised the elevator 3.25 m between floors?
In a charming 19th-centuryhotel, an old-style elevator is connectedto a counterweight by a cable that passesover a rotating disk 2.50 m in diameter. The elevator is raised andlowered by turning the disk, and the cabledoes not slip on the rim of the disk but turnswith it. (a) At how many rpm must the diskturn to raise the elevator at 25.0 cm/s?(b) To start the elevator moving, it mustbe accelerated at 18g. What must be theangular acceleration of the disk, in rad/s2?(c) Through what angle (in radians anddegrees) has the disk turned when it hasraised the elevator 3.25 m between floors?
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In a charming 19th-century
hotel, an old-style elevator is connected
to a counterweight by a cable that passes
over a rotating disk 2.50 m in diameter
. The elevator is raised and
lowered by turning the disk, and the cable
does not slip on the rim of the disk but turns
with it. (a) At how many rpm must the disk
turn to raise the elevator at 25.0 cm/s?
(b) To start the elevator moving, it must
be accelerated at 18
g. What must be the
angular acceleration of the disk, in rad/s2?
(c) Through what angle (in radians and
degrees) has the disk turned when it has
raised the elevator 3.25 m between floors?
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