As the initially empty urinary bladder fills with urine and expands, its interna

Question

As the initially empty urinary bladder fills with urine and expands, its internal pressure increases by 3400 Pa, which triggers the micturition reflex (the feeling of the need to urinate). The figure shows a horizontal, square section of the bladder wall with an edge length of 0.0082 m. Because the bladder is stretched, four tension forces of equal magnitude T act on the square section, one at each edge, and each force is directed at an angle below the horizontal. What is the magnitude T of the tension force acting on one edge of the section when the uinternal bladder pressure is 3400 Pa and each of the four tension forces is directed 3.4° below the horizontal?

Explanation / Answer

given data

length = 0.0082m

P = 3400Pa

angle = 3.4°

Since pressure is force divided by area, and the four forces here are equal and are directed at the same angle, we may write:

P = 4Tcos/A
T = AP / 4cos
= (0.0082m)²(3400Pa) / 4cos(3.4)
T = 0.057N

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