BHP and torque calculations

Nov 19, 2005 4 Replies

How would I work out the BHP being used to maintain a car's speed? e.g. a



1000kg car at 70mph on the level, how much BHP at the wheels?

And, although it would be very approximate, could I calculate torque by looking at acceleration timings in each gear?


You wouldn't with that information you need the CdA and frontal area.

The air resistance is the main concern when moving at a constant velocity and that's roughly

Fd = Cd x 0.5 x rho x A x V-squared

Fd = The drag force (in Newtons) Cd = Coefficient of drag rho = Density of the air (normaly about 1.22) A = Frontal area in sq.m V = Forward speed in m/sec

now you have the Fd you can work out power (P) in watts

P = Fd x V

or in a single system

P = Cd x 0.61 x A x V-cubed

1 bhp = 745.7 Watts

The power required to travel at a constant speed is defined by the aerodynamics, as described in depresions email.

You could. Actually, you can measure the average power over a period of acceleration quite easily:

P_avg = (vel1^2 - vel2^2)*mass/(2*time-taken)

where vel1 & vel2 are in meters/sec and mass is in kg, this gives the average power in watts. 1Hp = approx 746watts.

1 mph = 0.44 m/s

So, for example accelerating from 30mph (13.4m/s) to 40 mph (17.88m/s), with a car mass of 1200kg, the avg power is given by:

P=(17.88^2-13.4^2)/(2*1200*time)=400*1200/(2*time) watts

say time=3s, this gives P=16.8kW = 64Hp

Note; this is the average power between the two engine speeds corresponding to the two speeds.

Doh. Got my sums wrong... 28kW, 37Hp

Thanks! That gives me something to go on.

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