A submarine is at an ocean depth of 3.00 m. a. Calculate the absolute pressure a

Question

A submarine is at an ocean depth of 3.00 m. a. Calculate the absolute pressure at the depth. Assume thatthe density of the water is 1.025x103 kg/m3and that the atmospheric pressure is 1.01 x105 pa. b. Calculate the total force exerted at this depth on acircluar submarine window with a diameter of 32 cm. A submarine is at an ocean depth of 3.00 m. a. Calculate the absolute pressure at the depth. Assume thatthe density of the water is 1.025x103 kg/m3and that the atmospheric pressure is 1.01 x105 pa. b. Calculate the total force exerted at this depth on acircluar submarine window with a diameter of 32 cm.

Explanation / Answer

a ) Submarine is at an Ocean deapth of h = 3.00 m          Atmospheric Pressure at the depth is P0 = 1.01*105 pa                              density of water is = 1.025 *103 kg/m3                       Absolute Pressure P = P0 + gh                                                          =   1.01*105 pa + 1.025 *103kg /m3 * 9.81 m/s2 * 3.00 m                                                           = 31.1 *108 pa b ) Total Force exerted at the depth is  P = F /A                           where A is Area A = r2    ( sincesubmarine is in circular shape )                                                  Giventhat diameter d = 32 cm   r = 16 cm = 16*10-2 m                                             A = 0.080m2                                       Pressre P = 31.1 *108 pa               Force F = P * A                             = 31.1 *108 pa * 0.080m2                             = 24.9 *108 N                      

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