What is the relationship between Torque and Energy?

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SUMMARY

The relationship between torque and energy is defined by the equation Energy = Torque * Angle covered. Torque is calculated as force multiplied by radius, and when the radius is multiplied by the angle covered (in radians), it results in a distance. This distance, when multiplied by force, yields energy, confirming the established relationship. The discussion highlights the importance of understanding radian measurement in this context.

PREREQUISITES
  • Understanding of Torque and its formula (Torque = Force x Radius)
  • Knowledge of Energy and its definition (Energy = Force x Distance)
  • Familiarity with angular measurements, particularly radians
  • Basic physics concepts related to rotational motion
NEXT STEPS
  • Study the derivation of the relationship between Torque and Energy in detail
  • Learn about the implications of angular measurements in physics
  • Explore the concept of rotational kinetic energy and its formulas
  • Investigate practical applications of torque in engineering and mechanics
USEFUL FOR

Students of physics, mechanical engineers, and anyone interested in the principles of rotational dynamics and energy conversion.

Rising_Hg
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I was reading about Torque on Wikipedia (http://en.wikipedia.org/wiki/Torque" ).

There was this relation given :

Energy = Torque * Angle covered.
Can anybody explain me how or show the derivation ?

- Rising_Hg
 
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i didnt even know that relation existed but i can give it a shot.

Energy is force x distance. So you have torque, which is force multiplied by radius. radius multiplied by angle covered is going to be a distance. So there is force x distance. which is energy.
 
dacruick said:
i didnt even know that relation existed but i can give it a shot.
Yep, that's it.
 
Perhaps the OP is not familiar with radian angle measurement. Is this the case Rising_Hg?
 

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