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You have been hired by a theme-park operator to help with the design of their new ride. This ride consists of a 10 m tall pole, with a 3m diameter disk on top. From the edge of the disk hang four seats, on 8m long cables. The plan is that customers will sit in these seats, and then the disk will start to rotate. As it rotates faster, your boss tells you that centrifugal force will push the seats out, until the customers are doing circles around the pole. She wants the cables to be at an angle of 60° to the vertical when the ride is going at full speed, as she thinks that will be suitably thrilling. Knowing that you have a physics background, she asks you to calculate how many revolutions per minute the disk will have to spin at to make this happen, and how strong the cables will have to be. The seats weigh 30 kg and passengers can weigh up to 170 kg.

You have been hired by a theme-park operator to help with the design of their new ride. This ride consists of a 10 m tall pole, with a 3m diameter disk on top. From the edge of the disk hang four seats, on 8m long cables. The plan is that customers will sit in these seats, and then the disk will start to rotate. As it rotates faster, your boss tells you that centrifugal force will push the seats out, until the customers are doing circles around the pole. She wants the cables to be at an angle of 60° to the vertical when the ride is going at full speed, as she thinks that will be suitably thrilling. Knowing that you have a physics background, she asks you to calculate how many revolutions per minute the disk will have to spin at to make this happen, and how strong the cables will have to be. The seats weigh 30 kg and passengers can weigh up to 170 kg.

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