High School

a 165 lb diver stands at the end of a rigid 9 ft long diving board. what is the magnitude of the torque the diver exerts on the diving board?

Answer :

Final answer:

The torque exerted by the 165 lb diver standing at the end of a 9ft diving board is calculated using the formula torque = force x distance, giving a result of 1485 lb-ft.

Explanation:

The magnitude of the torque exerted by the diver is given by the formula torque = force x distance. Force is the weight of the diver, which equals mass times gravity. In English units, the mass of the diver is 165 lbs and gravity is about 9.8 ft/s^2 but if you use lbs in force, it'd be more straightforward.

Because the torque is exerted at the end of the diving board, that gives us a distance of 9 ft. Therefore, the torque exerted by the 165 pound diver at the end of a 9 foot long diving board is 165 lb x 9 ft = 1485 lb-ft. Here, we use 120 simply for illustrative purposes and it doesn't play a role in this particular physics problem.

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