DaleSpam said:
Hi waynexk8, the first thing that you need to correct is that there is no such thing as total force. There is impulse which is defined as:
\mathbf{I}=\int_{t_i}^{t_f} \mathbf{f}(t) \, dt
Impulse has units of momentum, not units of force.
Hmm, ok, seems tricky, maybe I am saying it wrong then, as I think of me using force or strength more like this. If I can only lift 100 pounds 1 time, I can only lift 80 pounds several times, let’s say 10 times up and down at 1/1, this takes me 20 seconds, here is how I think this, say like a car, I have 20 gallons of fuel {or as I think force/strength} only, then I run out of fuel/force, BUT if I lifted slower, I would not used up my fuel/force so fast, or so fast per unit of time. So I have to use more fuel/force to lift the weight more times in the same time frame.
DaleSpam said:
There is also average force which is defined as:
\overline{\mathbf{f}}=\frac{\int_{t_i}^{t_f} \mathbf{f}(t) \, dt}{t_f-t_i}
Average force does have units of force.
Thing is, I don’t understand that, if you have time please, is there any way you could explain this or explain it in layman’s terms, otherwise it had for me, as its just numbers.
DaleSpam said:
Second, you are under the mistaken impression that the impulse is higher if you do a rep faster. This is incorrect. The impulse for one rep depends only on the weight and the amount of time, so one slow rep (10 s) might have the same impulse as 5 fast reps (2 s each).
Could you clear something up before I comment on that please ? As if I lift a weight up and then down, and then just lower the weight and then lift it up, it’s going to take far more force to stop a weight that is being lowered say .5 of a second for 1m, and then immediately lift it back up, we call this the transition from negative to positive, where the peak forces and tensions are on the muscles, the MMMTs. {Momentary Maximum Muscles Tensions}
As if you lower the weight and then lift, on using 100 pounds, you might have 150 pounds of force and tension on the muscles for .1 or .2 of a second, when just lifting the weight and lowering it, you will have nowhere near that force and tension on the muscles.
So please which repetition has the same impulse as the slow one ?
DaleSpam said:
Similarly, you seem to be under the impression that the average force over a rep is higher if you go faster. This is also incorrect. The average force for one rep depends only on the weight. Notice that there is a close relationship between impulse and average force.
I explain before, that average means nothing in this debate. As if I do 1 repetition in 1 second, and a 100 repetitions in a 100 seconds, they say the average is the same, but we all know the force, work, energy, velocity and accelerations were far harder doing the 100, AND far harder on the muscles.
DaleSpam said:
Personally, I think that the question you should be asking is the following:
"What different physical quantities are in fact higher in a fast rep than in a slow rep?"
Yes you could be right there, or to put it very blunt, which repetition cadence is harder and puts more tension on the muscles. As when using 80% you fail roughly 50% faster, I think we all know it’s the fast.
Is not power the mathematical product of force and velocity ? So more power more force and velocity, more force and velocity more power. I said this before, and someone said that more power does not equal more force and velocity, but could not prove what they thought. So work is the of a force over a distance, lifting a weight up and down is an example of work. The force is equal to the weight of the object, and the distance is equal to the height lifted {W= Fxd}
So energy capacity for doing work, so mechanical work is when an object is standing still and we force it to move.
Let’s take these scenarios.
1,
I lift a 100 pounds up and down 20 times in 20 seconds, then lift 50 pounds up and down 20 times in 20 seconds.
2,
I lift 100 pounds up and down 10 times in 40 seconds.
Which is harder ? 1, would need more work, force, energy, velocity and acceleration used.
So maximal muscle power production is the dominant factor in movements which aim to produce maximal velocity at the point of release, takeoff, or impact. Therefore the ability to perform a large amount of mechanical work in a short period of time, or the ability to produce high force output at fast movement velocities, is critical to lifting a heaver weight more times, so if the slow and the fast have to pick a weight to do any number of repetitions, the fast with be able to use the higher poundage.
Power can be defined as the force applied multiplied by the velocity of movement (Knuttgen
and Kraemer, 1987). As the work done is equal to the force times the distance moved (Garhammer,
1993) and velocity is the distance moved divided by the time taken, power can also be expressed as
work done per unit time (i.e., the rate of doing work) (Garhammer, 1993).
work = force x distance
velocity = distance/time
power = force x velocity
therefore:
power = force x distance/time = work/time.
And that’s what I have been saying all along ?
Wayne