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March 25, 2017

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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.

  • physics - ,

    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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