well, i myself have been toying with the idea of lighter rims. not only would they look better on the putra but they'll be lighter! by alot.
now, i'll try to make the calculations here explained as clearly as i can. however, if you don't understand or if i have made a mistake with my theory, then please correct me! i don't like to give wrong info so help me work towards providing the right answer if you can ok?
now back to the topic.
let's look at the wheels i've chosen for this comparison. wheel weights were taken from WheelWeights which is THE best collection of wheel weights. really.
i currently have the 15x6.5" Enkei RSF-2 which are these:
quite ugly to me as the spoke design is quite 'ugggggh' to me.
these rsf-2 weight according to wheelweights, a hefty 7.4 kg each without the tyre.
the rims i'm interested in are these white Desmond EVO Regamaster. i've no idea WTF 'regamaster' means but it's a really lightweight wheel that looks the business.
these wheels weigh only 3.88 kg each without the tyre. check out this jap guy's page regarding the wheel: Kotori's Homepage.
ok so if you do some basic math, the rsf-2s weigh in total 29.6 kg compared to the evos which are only 15.6 kg! you'd save 14 kg in unsprung mass. it seems a lot right? but how do we quantify something quite abstract like this? i propose that we look at the price-performance ratio to see if spending about RM2500 for a set of SECOND HAND condition evos are worth it or not. because sadly, the company, Desmond, does not make them anymore. neither can i find the company on the internet. so, oh well.
first, take a look at some formulas i'll be using. we have the rotational inertia of a hoop about a central axis, I=MR^2. where M is the weight of the rim (assumed as a hoop for simplicity) and R is the radius of the rim in meters(m), which is 0.1905 m (taking it as a 15" rim). then there's the kinetic energy equation for a rolling body and since a rolling object has two types of energy: a rotational kinetic energy due to it's rotation about its center of mass (COM) and a translational kinetic energy due to translation of its COM, we use:
K = 0.5*(I,com)*w^2 + 0.5*M*(V,com)^2
I is the rotational inertia as mentioned in the paragraph before, w (actually greek for omega) is the angular velocity of the wheel, M again is the mass of the wheel and V,com is the velocity of the wheel's center of mass.
now we proceed to obtain the rotational inertias of each wheel. I1 is for the RSF-2 and I2 is for the evos.
I1 = 7.4kg*(0.1905m^2) = 0.2685 kgm^2
I2 = 3.9kg*(0.1905m^2) = 0.1415 kgm^2
already, you can see that the lighter wheel has a lower rotational inertia which is obvious. but we still can't quantify it in terms of performance gains. so we must press on to the next set of calculations.
we need to find the kinetic energy of the rolling body (ie. the wheel) at a fixed speed. let's make it 100 km/h which is represented by V,com. converting from km/h to m/s we get
V,com = 27.7778 m/s
this is done to make sure we are working in the right units. next up, is to find the angular velocity of the wheel.
w = V,com/R = 27.7778/0.1905 = 145.82 rad/s
now that we have the necessary information needed, we can plug these values into the equation for obtaining the kinetic energy of a rolling body which for the RSF-2 is:
K,RSF-2 = 0.5*(0.2685kgm^2)*(145.82rad/s)^2 + 0.5*(7.4kg)*(27.7778m/s)^2 = 5709.564 J
and the Desmond Regamaster EVO:
K,RSF-2 = 0.5*(0.1415kgm^2)*(145.82rad/s)^2 + 0.5*(3.9kg)*(27.7778m/s)^2 = 3009.023 J
J stands for Joule which is the unit for energy however, we you guys wanna see it in terms of horsepower (hp) right? so, let's convert these values to hp. i'll convert Joule to Watts first, but in order to do that, we need to divide 1 Joule with 1 second (i assume 1 second for ease of calculation) in order to get it in Watts (W) which is the unit for power. now from watt to hp, we use this conversion factor
1 watt = 0.00134102209 hp
now do some basic maths again, and we can get the required horsepower to keep rotating and translating this wheel at 100 km/h (on the horizontal plane ok, cars don't defy gravity :P)
Power required, RSF-2 = 7.65 hp
Power required, Desmond Regamaster EVO = 4.04 hp
now, how to interpret these values? the difference between these two wheels would give you the amount of hp that you could 'gain' which would be
Nett power gain = 7.65hp - 4.04hp = 3.61hp
this is for only one wheel. so by right, for both driving wheels since the putra is a front-wheel driven vehicle, the total hp gained would be an optimistic 7.22hp! just from using lighter wheels.
let's not get ahead of ourselves here. i should include a 'confidence' factor to that value to bring it down to about 6 hp gained. so, spending RM2500 for this rims to gain 6 hp would give mean 0.0024 hp/ringgit malaysia(RM). let's compare with a camshaft upgrade from powerzone (assuming their cam prices for the 4G93P is RM1500 from their catalogue), based on their claim of up to 20% increase in hp, gives you 0.0154 hp/RM. hmm, so it's up to you actually whether you'd wanna spend that amount of money for the little gain in hp. but don't forget, lighter unsprung mass gives you better handling characteristics and because the overall mass of the vehicle is reduced, you get faster acceleration as well.
man, it's insane if you wanna play NA...so many things to tweak to get the same result if i'd be less stubborn and put a turbo kit.
any monetary sponsors are always welcome regardless of whether individuals or companies wishing to advertise their products (space for sponsor's company logo available and for individuals wishing to sponsor, your name will be placed around the boot/rear wing location of the putra).