Problem 18P

The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 820 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed. Assume an average air density of 1.20 kg/m3.

Solution

Introduction

A mountain hiker reads 930 mbars at the beginning and 820 mbars finally in a barometer by climbing a mountain.A barometer is a scientific instrument used to measure the atmospheric pressure at a point.We need to find out the distance covered vertically by the climber.

Step 1

At the beginning the pressure readed by the barometer is P bottom =(ρgh)bottom

P bottom =930 mbars

At the final point,(on the top) the pressure readed by the barometer P top =(ρgh)top

P top =820 mbars