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What is torque?

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i am a junior physics student; i have already been exposed to the equation many times. Now i am more interested in getting more familiar with the nature of things; the nature of torque.. what IS it? i have an intuition of what force is, but torque, i have nothing. If i try to tighten a screw holding a wrench near the center of rotation, it requires more force and if i hold the wrench out farther (greater 'r'), then it requires less force. What is it about this system that allows the system to "know" so to speak, where i am holding the wrench?

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