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Atmospheric Pressure

The manual of...

Question

The manual of a car instructs the owner to inflate the tyres to a pressure of 200kPa.If after the required inflation of the tyres the car is driven to a mountain peak,where the atmospheric pressure is 10% below that at sea level,what will tyre gauge pressure read?(Assuming the absolute pressure of the tyre remaing same.

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Solution

At the mountain peak , the atmospheric pressure P_ais 10% less so it will be equal to 90 kpa

And since the absolute pressure has not changed during the drive

The guage will read = (301 - 90 )kPa

= 211kPa

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