Define the rate of doing work.

The rate of doing work is the amount of work done per unit time.

When an object is moved against a force, work is done. The rate at which work is done is called power. Power is defined as the amount of work done per unit time. Mathematically, power can be expressed as:

Power = Work done / Time taken

The SI unit of power is watt (W), which is defined as one joule per second. One watt is equivalent to one joule of work done in one second.

Another unit of power commonly used is horsepower (hp). One horsepower is equivalent to 746 watts.

The rate of doing work can also be expressed in terms of force and velocity. When a force F is applied on an object and it moves with a velocity v, the power can be calculated as:

Power = F x v

where F is the force applied and v is the velocity of the object.

In summary, the rate of doing work is the power, which is the amount of work done per unit time. It can be expressed in terms of work done and time taken, or force and velocity. The SI unit of power is watt.