A device used for mixing consists of three identical thin rods extending from a central axle, all in the same plane, and spaced apart from each other by 120°. Each rod is 10.9 cm long, and attached to the end of each rod is a ball with a cross-sectional area 4.40 cm2. Each ball has a drag coefficient of 0.580. A motor drives the central axle, causing the device to rotate. (a) How much power (in W) must be supplied by the motor for the device to rotate at a constant speed of 1000 rev/min in air? (Use 1.20 kg/m3 for the density of air at 20°C.) (b) How much power (in W) must be supplied by the motor for the device to rotate at a constant speed of 1000 rev/min in water? (The density of water is 1.00 g/cm°, or 1,000 kg/m³.) W

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A device used for mixing consists of three identical thin rods extending from a central axle, all in the same plane, and spaced apart from each other by
120°. Each rod is 10.9 cm long, and attached to the end of each rod is a ball with a cross-sectional area 4.40 cm2. Each ball has a drag coefficient of
0.580. A motor drives the central axle, causing the device to rotate.
(a) How much power (in W) must be supplied by the motor for the device to rotate at a constant speed of 1000 rev/min in air? (Use 1.20 kg/m³ for
the density of air at 20°C.)
(b)
How much power (in W) must be supplied by the motor for the device to rotate at a constant speed of 1000 rev/min in water? (The density of
water is 1.00 g/cm3, or 1,000 kg/m³.)
W
Transcribed Image Text:A device used for mixing consists of three identical thin rods extending from a central axle, all in the same plane, and spaced apart from each other by 120°. Each rod is 10.9 cm long, and attached to the end of each rod is a ball with a cross-sectional area 4.40 cm2. Each ball has a drag coefficient of 0.580. A motor drives the central axle, causing the device to rotate. (a) How much power (in W) must be supplied by the motor for the device to rotate at a constant speed of 1000 rev/min in air? (Use 1.20 kg/m³ for the density of air at 20°C.) (b) How much power (in W) must be supplied by the motor for the device to rotate at a constant speed of 1000 rev/min in water? (The density of water is 1.00 g/cm3, or 1,000 kg/m³.) W
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