A barometer is taken from the base to the top of a 554 m tower. Assuming the density of air is 1.29 kg/m3, what is the measured change in pressure?
To find the change in pressure when taking a barometer from the base to the top of a tower, we need to consider the change in height and the density of air.
The change in pressure can be calculated using the formula:
ΔP = ρ * g * Δh
Where:
ΔP is the change in pressure
ρ is the density of air
g is the acceleration due to gravity
Δh is the change in height
In this case, the height difference is 554 m, and the density of air is 1.29 kg/m^3.
The acceleration due to gravity, g, is approximately 9.8 m/s^2.
Substituting the values into the formula:
ΔP = 1.29 kg/m^3 * 9.8 m/s^2 * 554 m
Multiplying the values together:
ΔP = 1.29 * 9.8 * 554
Calculating the result:
ΔP ≈ 7058.72 Pa
Therefore, the measured change in pressure is approximately 7058.72 Pascal (Pa).