Circular Motion Due to Tension A carnival ride consists of a mock rocket rotating around a central shaft. A view of this ride as seen from above is shown below. The rocket is connected to the central shaft by a rigid beam, which is parallel with the ground. A conservative high estimate of the total mass of the rocket+passengers is 750 kg. The bolt connecting the beam to the central shaft breaks when the tension in the beam exceeds 4830 N. What is the maximum number of revolutions per minute (rpm) that the rocket can have if the ride is designed by the engineers to have a 3:1 safety factor? A 3:1 safety factor means that the tension in the beam cannot exceed one third of its breaking strength (i.e. one third of 4830 N). (answer: 5.1 rpm) r = 7.5m

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Chapter12: Static Equilibrium And Elasticity
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Circular Motion Due to Tension
A carnival ride consists of a mock rocket rotating around a central shaft. A view of this ride as seen from above
is shown below. The rocket is connected to the central shaft by a rigid beam, which is parallel with the ground.
A conservative high estimate of the total mass of the rocket+passengers is 750 kg. The bolt connecting the beam
to the central shaft breaks when the tension in the beam exceeds 4830 N. What is the maximum number of
revolutions per minute (rpm) that the rocket can have if the ride is designed by the engineers to have a 3:1 safety
factor? A 3:1 safety factor means that the tension in the beam cannot exceed one third of its breaking strength
(i.e. one third of 4830 N).
(answer: 5.1 rpm)
r = 7.5 m
Transcribed Image Text:Circular Motion Due to Tension A carnival ride consists of a mock rocket rotating around a central shaft. A view of this ride as seen from above is shown below. The rocket is connected to the central shaft by a rigid beam, which is parallel with the ground. A conservative high estimate of the total mass of the rocket+passengers is 750 kg. The bolt connecting the beam to the central shaft breaks when the tension in the beam exceeds 4830 N. What is the maximum number of revolutions per minute (rpm) that the rocket can have if the ride is designed by the engineers to have a 3:1 safety factor? A 3:1 safety factor means that the tension in the beam cannot exceed one third of its breaking strength (i.e. one third of 4830 N). (answer: 5.1 rpm) r = 7.5 m
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