Difference between torque and work

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SUMMARY

The discussion clarifies the distinction between torque and work, emphasizing that while both share the same unit dimensions (Newton-Meter and Joule), they represent fundamentally different concepts. Torque is defined as the product of force and perpendicular distance, making it a vector quantity, whereas work is defined as the product of force and displacement, categorizing it as a scalar quantity. The relationship between torque and work is established through the equation for angular work, which incorporates torque and angular displacement measured in radians.

PREREQUISITES
  • Understanding of basic physics concepts, specifically force and displacement
  • Familiarity with vector and scalar quantities
  • Knowledge of angular displacement and its measurement in radians
  • Basic grasp of units of measurement in physics, particularly Newton-Meter and Joule
NEXT STEPS
  • Study the principles of vector and scalar quantities in physics
  • Explore the concept of angular displacement and its applications
  • Learn about the relationship between torque and rotational motion
  • Investigate real-world applications of torque in mechanical systems
USEFUL FOR

Students of physics, engineers, and anyone interested in understanding the fundamental differences between torque and work in mechanical contexts.

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What is difference between Torque and Work Done if Newton-Meter is Joule?



Torque=Force*Perpendicular distance Work =Force*displacement
 
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The units for torque and work happen to have the same dimensions but torque and work are very different concepts. Work is a scalar and torque is a vector.

The angular equivalent of work = force*displacement is:
work = torque*angular displacement

where angular displacement is measured in radians, which is dimensionless, so the unit for torque must necessarily have the same dimension as the unit for work.
 

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