Is T=F * r Acceptable for Measuring Torque?

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SUMMARY

The discussion centers on the correct formulation of torque, emphasizing that torque (T) is defined as the cross product of the radius (r) and force (F), expressed as T = r x F. The incorrect formulation T = F * r is deemed unacceptable due to the anticommutative property of the cross product, which states that a x b = -b x a. Additionally, the conversation highlights the importance of distinguishing between the units of torque (Newton-meters) and energy (Joules), advocating for the consistent use of the term "meter-Newton" to avoid confusion.

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Harmony
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I saw in my reference book that T=r * F , and T=F * r is unacceptable. Why is the latter unacceptable?
 
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Also, the book probably doesn't want you to confuse units of torque (meter*Newtons) and units of energy (Newton*meters). Get in the habit of putting the distance first, as it will help you with the cross products
 
turdferguson said:
Also, the book probably doesn't want you to confuse units of torque (meter*Newtons) and units of energy (Newton*meters).

Huh? The (standard) unit of torque is the Newton-metre; I've never heard of it being called a metre-Newton! Besides, clearly the units Newton and metre commute.

(http://en.wikipedia.org/wiki/Newton_metre)
 
Last edited:
If the unit of torque is the Newton-meter, that implies that its the same as a joule. By using the term "meter-Newton", you can easily differentiate between torque and energy. Even though you just informed me that its not technically SI, it makes more sense to me and probably to someone just starting out
 

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