# physics

An evacuated spherical diving bell containing a camera is in the ocean at a depth of 107 m. It has a flat, transparent, circular port with a diameter of 10.5 cm. Find the magnitude of the total force on the port. For the density of seawater use 1025 kg/m3.

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1. find the pressure at 107 meters, consider it constant over the port.

Pressure = one atmosphere + rho g h

= 10^5 pascals + 1025 * 9.8 * 107

= 10^5 + 10.75*10^5 = 11.75*10^5 Pascals or N/m^2

Force = 11.75 * 10^5 * area
= 11.75 (pi * .0525^2)*10^5
=.0996 *10^5
= 9960 N

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