As the initially empty urinary bladder fills with urine andexpands, its internal

Question

As the initially empty urinary bladder fills with urine andexpands, its internal pressure increases by 3300 Pa, which triggersthe micturition reflex (the feeling of the need to urinate). Thedrawing shows a horizontal, square section of the bladder wall withan edge length of 0.01 m. Because the bladder is stretched, fourtension forces of equal magnitude T act on thesquare section, one at each edge, and each force is directed at anangle ? below the horizontal. What is themagnitude T of the tension force acting on oneedge of the section when the internal bladder pressure is 3300 Paand each of the four tension forces is directed 5.0 Degree below thehorizontal? ? N

Explanation / Answer

Compute the force from the pressure on the area (Pa =N/m2). This is the upward force. Thedownward force must equal the upward force so we need to computethe vertical component of tension force. There are fourtension forces. The equation to solve is: (3300 Pa)*(0.01 m)2 = 4*T*sin(5.0°) Solve for T. I get slightly less than one Newton.

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