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1set of 57 Three phase Stepper Motor with Motor drive for laser machine |  |
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NEW GSI Lumonics Laser Scanning Galvo Mirror Linear Motion Scanner Motorized | |
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Motor Laser
How much work is done by the motor in a CD player to make a CD spin, starting from rest?
How much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter of 12.5 cm and a mass of 15.3 g. The laser scans at a constant tangential velocity of 1.10 m/s. Assume that the music is first detected at a radius of 20.1 mm from the center of the disk. Ignore the small circular hole at the CD's center.
Radius of CD = R = (12.5)/2 cm = 0.0625m
Momemt of Inertia of CD = MI = 0.5*m*R^2 = 0.5* 0.0153kg*(0.0625)^2 = 3.0*10^-5 kg.m^2
Required initial rotational velocity = w = tangential velocity / initial radius 20.1mm
w = 1.10 / 0.0201 = 54.7 rad/s
Work done = WD = increase in rotational kinetic energy = 0.5*MI*w^2
WD = 0.5 * 3.0*10^-5 * (54.7)^2 J
WD = 0.0449 J
(In reality WD is much greater because the spindle etc. has a much greater mass than the CD)
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1set of 57 Three phase Stepper Motor with Motor drive for laser machine | |
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US $159.00 | 22d 11h 15m |
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2sets of 57 Three phase Stepper Motor with Motor drive for laser machine | |
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US $310.00 | 22d 11h 14m |
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2sets of 57 Stepper Motor with Motor drive + 1set of 6515 Laser Control System | |
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MOTRONICS LASER MOTOR 127S80260 THERMAL SCANNER SENSOR | |
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GSI Laser Sys.#02141, 3500000500, motor for HSZ | |
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US $49.00 | 7d 3h 19m |
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NEW GSI Lumonics Laser Scanning Galvo Mirror Linear Motion Scanner Motorized | |
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Agfa Violet Laser & Spin Motor on Complete Laser Platform **Business closing. ** | |
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Agfa Violet Laser & 55,000 rpm Spin Motor on Complete Laser Platform *Clearance* | |
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Klinger Motorized Linear Translation Stage 75mm Travel ~ Laser Optical | |
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Agfa Violet Laser & Spin Motor on Complete Laser Platform *Clearance* | |
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Agfa Violet Laser & 37,000 rpm Spin Motor on Complete Laser Platform *Clearance* | |
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Coherent Medical: Motorized Laser Aperture TSZ50 | |
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DSI Laser / Design Science CCW High Speed Servo Motor | |
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KES-400AAA 400A Laser Lens Small Motor for SONY PS3 $2.59 - Fits for the PS3 Laser Lens KES-400AAA - Replacement Laser Lens Small Motor for the PS3 - Each product through strict test and inspection before transportation - Fix your PS3 and save money - Compatible with:PS3 |
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How much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter?
How much work is done by the motor in a CD player to make a CD spin, starting from rest? The CD has a diameter of 12.8 cm and a mass of 15.8 g. The laser scans at a constant tangential velocity of 1.26 m/s. Assume that the music is first detected at a radius of 20.6 mm from the center of the disk. Ignore the small circular hole at the CD's center.
Radius of CD = R = (12.8)/2 cm = 0.064m
Momemt of Inertia of CD = MI = 0.5*m*R^2 = 0.5* 0.0158kg*(0.064)^2 = 3.24*10^-5 kg.m^2
Required initial rotational velocity = w = tangential velocity / initial radius 20.6mm
w = 1.26 / 0.0206 = 61.2 rad/s
(not taken into account by the first answer)
Work done = WD = increase in rotational kinetic energy = 0.5*MI*w^2
WD = 0.5 * 3.24*10^-5 * (61.2)^2 J
WD = 0.0605 J
(Of course in reality WD is much greater because the CD drive spindle etc. has a much greater mass than the CD itself)
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