The meaning of tyre pressure numbers

 By MUNGAI KIHANYA

The Sunday Nation

Nairobi,

08 August 2010

 

The tyres of most saloon cars are pressurised to 30 units. What is the meaning of this number? In a nutshell, it is the amount of pressure in Pounds (of force) per Square Inch, or PSI.

The PSI is one of those Imperial Standard units of measurement that has refused to go away. Think about it, when was the last time you weighed anything in pounds? The only pounds we think about these days are those of the British currency; and those are also likely to disappear as the Euro takes over…

The pressure of 30PSI means that a force of 30 pounds (lb) is acting on every square inch of the tyre. The conversion table in my diary says that one pound is equivalent to about 0.454kg. Therefore, 30lb comes to about 13.62kg.

Now an interesting question arises can the 13.6kg per square inch support the weight of a car (about 1,000kg)? The first step in getting the answer is to convert the kg per square inch to kg per square centimetre.

Now one inch is equal to 2.54cm; therefore, one square inch is 6.45sq-cm. Thus 13.6kg per square inch comes to 2.1kg per sq-cm.

The second step is to determine the weight carried by each tyre on the car. Obviously, the front tyres carry significantly more than the rear ones, but for the sake of simplicity, we can assume equal distribution. This gives about 250kg per tyre.

So, the question is: at 2.1kg per sq-cm, how much surface area would be required to carry 250kg? The answer gives us the size of the “footprint” of the car tyre. It is equal to 250 divided by 2.1, or 119sq-cm.

Now most cars are fitted with 175-70-14 tyres. The first number in the size (175) is the width of the footprint in millimetres. At 10mm per cm, the width comes to 17.5cm. Therefore, to make the 119sq-cm, the footprint would have to be about 7cm long. Is that a reasonable size?

To find out, I pressurised the tyres on my car to 30PSI using one of the modern digital gauges. Then I measured the length of the footprint (You should have seen the look on the station attendant’s eyes!).

I got 10cm at the front and, even though it is some 30 per cent higher, it seemed about right. Reason being that the tyre has grooves etched on it (the treads), so the whole surface is not in contact with the ground.

*******

At the time of writing this; the referendum results were all but complete; and the YES side had 67 per cent of the vote against 33 per cent for NO. Some one said that since the turnout was slightly above 50 percent, then the YES hasn’t really won.

My take: utter nonsense! If you followed the results throughout the night, you must have noticed that the percentage margin hardly changed by any significant amount. It started off at 62 – 38 and grew slowly in favour of YES until the final 67 – 33.

Furthermore, the last opinion poll had predicted a 70 – 30 win for YES with a 4 percent margin of error. This was from a sample of a few thousand people. Therefore, it is reasonable to conclude that even if all registered voters came out, the percentage margin wouldn’t have change at all.

 
     
  Back to 2010 Articles  
   
 
World of Figures Home About Figures Consultancy