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 10.4 cm long, and attached to the end of each rod is a ball with a cross-sectional area 4.50 cm². Each ball has a drag coefficient of 0.520. A motor drives the central axde, 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/m for the density of air at 20°C.) 0.532 What is the force of air resistance, and what does it depend on? What torque does this force apply? How is power related to torque and angular speed? How is linear speed related to angular speed? Remember

Principles of Physics: A Calculus-Based Text
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Chapter7: Conservation Of Energy
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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 10.4 cm long, and attached to the end of each rod is a ball with a cross-sectional area 4.50 cm2. Each ball has a
drag coefficient of 0.520. 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.)
0.532
What is the force of air resistance, and what does it depend on? What torque does this force apply? How is power related to torque and angular speed? How is linear speed related to angular speed? Remember
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 10.4 cm long, and attached to the end of each rod is a ball with a cross-sectional area 4.50 cm2. Each ball has a drag coefficient of 0.520. 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.) 0.532 What is the force of air resistance, and what does it depend on? What torque does this force apply? How is power related to torque and angular speed? How is linear speed related to angular speed? Remember
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