Question

The barometer of a mountain hiker reads 980 mbars at the beginning of a hiking trip and 790 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed. A

Answer 1

Complete Question

The barometer of a mountain hiker reads 980 mbars at the beginning of a hiking trip and 790 mbars at the end. Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed. Assume an average air density of 1.20kg/m^2

Answer:

$h=1614m$

Explanation:

From the question we are told that:

Initial Pressure $P_1=980mbar=>98000Pa$

Final Pressure $P_2=790mbar=>79000Pa$

Density $\rho=1.20kg/m^2$

Generally the equation for Height climbed is mathematically given by

$h=\frac{P_1-P_2}{\rho*g}$

$h=\frac{P_1-P_2}{1.20*9.81}$

$h=1614m$