Register to reply 
Torque has dimensions of energy 
Share this thread: 
#1
May713, 07:43 AM

P: 28

I just noticed that torque has dimensions of energy! What does that mean?



#2
May713, 08:15 AM

P: 718

It doesn't really mean anything. Energy is a scalar and torque is a vector, so they are fundamentally different quantities. In the same way that, for translational energy, work is the force (or, rather, the component of force in the direction of motion) times distance moved, for rotational energy work is the torque times the angle rotated through. We conventionally measure angles in radians, which are dimensionless since they are ratios of distances. Thus, torque must carry all the dimensions of work by itself. If you like, you can consider the SI dimensions of torque to "really" be "newton metres per radian". It's the same idea as angular frequency which mathematically has units of "1/seconds" but really represents the dimensionally equivalent units of "radians per second".



#3
May713, 08:18 AM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 6,474

It means torque also has the same units as work. It is the rotational analogue of work done in a translational manner.



#4
May1113, 05:45 AM

P: 28

Torque has dimensions of energy
Thanks a lot..



Register to reply 
Related Discussions  
Motor Torque, Starting Torque, Stall Torque, Load Torque  Mechanical Engineering  3  
If energy/matter deforms spacetime in three dimensions...  Special & General Relativity  2  
Re: Piezoelectric dimensions problem in energy harvesting  Electrical Engineering  0  
Entropy and Energy in Higher Dimensions  General Physics  0  
Theory that dimensions are energy structures?  Beyond the Standard Model  0 