About once every 30 minutes, a geyser known as Old Faceful projects water 19.0m

Question

About once every 30 minutes, a geyser known as Old Faceful projects water 19.0m straight up into the air. Use g -9.80 m/s2, and take atmospheric pressure to be 101.3 kPa. The density of water is 1000 kg/m3. (a) What is the speed of the water when it emerges from the ground? 19.297m/s (b) Assuming the water travels to the surface through a narrow crack that extends 7.00 m below the surface, and that the water comes from a chamber with a large cross-sectional area, what is the pressure in the chamber? 3694x kPa

Explanation / Answer

part B:

use from bernouliis Theroem

gauge Pressure

P-P0 = rho gh

rho is densit of water = 1000 kg/m^3

g is accleration due to gravity   = 9.81 m/s^2

h is height = 7 m

Po is atmosphereic pressure = 1.01 *10^5 pa

so

P = (1.013 *10^5) +(1000 * 9.81* 26)

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              P = 356.4 K pa

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