I love these conundrum
Torque and power are related. The power an engine produces at a known rpm depends on the amount of torque produced at that rpm.
Though ive said that torque and power are related, more torque doesn't always result in more power.
The rpm factor is important here.
Basically power = force X velocity & force = mass X acceleration
so power = mass X acceleration X velocity & velocity = distance/time
so substituting,
power = mass X acceleration X distance / time
but mass X acceleration X distance = work and since torque is the same as work,
power = torque/time
Torque represents the work done and power represents the rate at which work is done.
we can rewrite the above as,
power = torque X rpm
rpm basically stands for 1/time since it effectively it stands for rotations (a dimensionless quantity) divided by time.
So since power is the rate of work, it can be increase due to two factors. either by increase in work, or the increase in rate.
basically you can produce high power by doing a small work at a heavy rate, as well as by doing a heavy work at a small rate.
Lets take 2 different engines for example.
Engine A: is a 200cc engine producing or 14.7 lbft of torque at 2500 rpm.
Engine B : is a 100cc engine producing or 7.3 lbft of torque at 5000 rpm.
But see what happens when we calculate the power at the rpm where peak torque is produced.
engine A : bhp = torque * rpm / 5252 = 14.7 * 2500 / 5252 = 6.9 bhp.
engine B : bhp = torque * rpm / 5252 = 7.3 * 5000 / 5252 = 6.9 bhp.
As you can see, engine B which is just 100cc produces the same amount of power as that of the bigger 200cc engine, inspite of having half the torque.
Smiffy
