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The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube of length 58.0 ft. Another 20-g centrifuge of length L = 59.0 ft is represented in the figure below. Assume an astronaut in training sits in a seat at one end, facing the axis of rotation 29.5 ft away. Determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 20.0g. L/2

The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube of length 58.0 ft. Another 20-g centrifuge of length L = 59.0 ft is represented in the figure below. Assume an astronaut in training sits in a seat at one end, facing the axis of rotation 29.5 ft away. Determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 20.0g. L/2

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Analytical Model Tutorial The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube of length 58.0 ft. Another 20-g centrifuge of length L = 59.0 ft is represented in the figure below. Assume an astronaut in training sits in a seat at one end, facing the axis of rotation 29.5 ft away. Determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 20.0g. L/2 Part 1 of 4 - Conceptualize: Look carefully at the figure and imagine you are the astronaut sitting in the seat at the far right. As the centrifuge rotates, you are experiencing an acceleration toward the center of the device. The faster the centrifuge spins, the larger is that acceleration. The problem is asking for a rotation rate, measured in revolutions per second. Because the period of circular motion is the number of seconds per revolution, we see that the rotation rate will be the inverse of the period. 1 rotation rate T Part 2 of 4 - Categorize: (1) What analysis model correctly describes the motion of the astronaut while the centrifuge is operating at a fixed rotation rate, and will be most helpful in solving this problem? particle under constant speed particle under constant velocity particle in uniform circular motion O O
Transcribed Image Text:Analytical Model Tutorial The 20-g centrifuge at NASA's Ames Research Center in Mountain View, California, is a horizontal, cylindrical tube of length 58.0 ft. Another 20-g centrifuge of length L = 59.0 ft is represented in the figure below. Assume an astronaut in training sits in a seat at one end, facing the axis of rotation 29.5 ft away. Determine the rotation rate, in revolutions per second, required to give the astronaut a centripetal acceleration of 20.0g. L/2 Part 1 of 4 - Conceptualize: Look carefully at the figure and imagine you are the astronaut sitting in the seat at the far right. As the centrifuge rotates, you are experiencing an acceleration toward the center of the device. The faster the centrifuge spins, the larger is that acceleration. The problem is asking for a rotation rate, measured in revolutions per second. Because the period of circular motion is the number of seconds per revolution, we see that the rotation rate will be the inverse of the period. 1 rotation rate T Part 2 of 4 - Categorize: (1) What analysis model correctly describes the motion of the astronaut while the centrifuge is operating at a fixed rotation rate, and will be most helpful in solving this problem? particle under constant speed particle under constant velocity particle in uniform circular motion O O
Part 3 of 4 - Categorize: (cont.) The following two equations are associated with the particle in the uniform circular motion model. 2ar T = V (2) Combine these two equations to obtain an expression for the rotation rate of the centrifuge, Choose the correct answer below. ac 4x2r ac 4x²r ac none of the above Correct. This is the correct combination of the two equations and the algebraic reorganization of the result. Part 4 of 4 - Analyze: (3) Based on the correct choice in question (2), substitute numerical values, including a unit conversion factor, to find the rotation rate for the centrifuge that will provide a centripetal acceleration of 20.0g for the astronaut. m/s?) 20.00 ft ft 1m rev/s II
Transcribed Image Text:Part 3 of 4 - Categorize: (cont.) The following two equations are associated with the particle in the uniform circular motion model. 2ar T = V (2) Combine these two equations to obtain an expression for the rotation rate of the centrifuge, Choose the correct answer below. ac 4x2r ac 4x²r ac none of the above Correct. This is the correct combination of the two equations and the algebraic reorganization of the result. Part 4 of 4 - Analyze: (3) Based on the correct choice in question (2), substitute numerical values, including a unit conversion factor, to find the rotation rate for the centrifuge that will provide a centripetal acceleration of 20.0g for the astronaut. m/s?) 20.00 ft ft 1m rev/s II
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