# Watt per second?

by TSN79
Tags: watt
 P: 355 Just trying to interpret some units here. If J/s is Watt, what does J/(s^2) tell me?
 Sci Advisor P: 1,433 W/s is the rate at which power increases. I can't think of an example of where this unit might be commonly used. Claude.
 PF Patron P: 7,122 Something's power is increasing by 1 J/s every second.
P: 4,778

## Watt per second?

It is the rate at which power is used, as other have said before me. A practical example, you have a power transmission shaft of a car with an applied torque T, with a constant rotational speed, n. You want to determine the power transmitted to the shaft. Then you will have
$$\dot{W_{sh}} = 2 \pi \dot{n} T$$

Edit: Oh, I see you said watts/second. Forget what I said above. That would be the rate of the rate at which power is being used. Well, you could change my n dot to an n double dot, where the n double dot is the rotational acceleration I guess. But I cant see any purpose for doing so. I guess you could interpret it as the rate at which the power being transmitted through the shaft is changing with respect to time, if it has a nonuniform speed, n. If you know n double dot, you can integrate to find the power transmission from $$t_0$$ to $$t_1$$

$$\dot{W_{sh}} = \int^{t_1}_{t_0} \ddot{W_{sh}} dt = \int^{t_1}_{t_0}2 \pi \ddot{n} T dt$$

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