Torques in a Pump: Understand Opposite Signs

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In a pump operating at steady state, the pump torque is positive while the fluid torque is equal in magnitude but negative in direction, resulting in a net torque of zero. This occurs because torque represents a force that induces rotational motion, and the forces exerted by the pump and the fluid are equal but act in opposite directions. The positive sign of the pump torque indicates its direction of rotation, while the negative sign of the fluid torque reflects the opposing force exerted by the fluid. Understanding this relationship clarifies why both torques, despite rotating in the same direction, are assigned opposite signs. The interaction between the pump and fluid is essential for maintaining equilibrium in pump operation.
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In a pump (which operates in normal condition: steady state), pump torque is positive and fluid torque is of equal magnitude and of opposite direction so that the sum of both is zero. ''P. 66 of 'Water Hammer: An Analysis of Plumbing Systems, Intrusion, and Pump Operation' by: Dr. Loganathan and ...
I need so explanation about opposite sign of pump torque and fluid torque? Both rotate in a same direction, then why one of positive and the other is negative?
 
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Remember that torque isn't itself a rotation, it is a force. Specifically a force that tends to cause rotational motion. See here: https://en.wikipedia.org/wiki/Torque

The force from the water on the pump is equal to the force from the pump on the water, but in the opposite direction. Because it is in the opposite direction, the direction of torque is also opposite, hence the negative sign.
 
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