Question

can someone explain how weight training can be modeled in a graph?,

Answer 1

Weight training involves the alternate lifting and lowering of weights in the form of barbells, kettlebells, dumbbell weights etc.

Once we have an object that is being moved, immediately we get a chance to monitor the position, velocity and acceleration of the object.

The power can be calculated for this periodic process of lifting and lowering. Even though in classical mechanics, in a gravitational field, lifting an object requires work to be done and the same object as it is lowered work is gained , in the case of weight training, the arms are always against the downward motion of the weight when it is done slowly.

On either lifting or lowering, typically the distance traveled by the weight is about a meter.

In a cycle thus, the change is 2W

The energy spent is thus 2W joules.

If the person does this periodically with a period T, the power is:

Thus, you can graph the following quantities:

where W is the weight of the object, in Newtons (since h ~ 1 m)

(Aside:Temperature of the person can be monitored and graphed as well.)