The device shown in fiugre can be used to measure the pressure and volume flow rate when a person exhales. There is a slit of width b running down th length of the cylinder. Inside the tube there is a light movable piston attached to an ideal spring of force constant K. In equiilibrium position the piston is at a position where the slit starts (shown by line AB in the figure. A person is made to exhale into the cylinder causing the piston to compress the spring. Assume that slit width b is very small and the outflow area is much smaller tan the cros section of the tube, even at the pistons full extension. A person exhales and the spring compresses by x. (Density of air=`rho`) (a) Calculate the gage pressure in the tube. (b) Calculate the volume flow rate (Q) of the air.

The device shown in fiugre can be used to measure the pressure and vol

1.	The device shown in fiugre can be used to measure the pressure and volume flow rate when a person exhales. There is a slit of width b running down th length of the cylinder. Inside the tube there is a light movable piston attached to an ideal spring of force constant K. In equiilibrium position the piston is at a position where the slit starts (shown by line AB in the figure. A person is made to exhale into the cylinder causing the piston to compress the spring. Assume that slit width b is very small and the outflow area is much smaller tan the cros section of the tube, even at the pistons full extension. A person exhales and the spring compresses by x. (Density of air=`rho`) (a) Calculate the gage pressure in the tube. (b) Calculate the volume flow rate (Q) of the air.
Answer» Correct Answer - (a) `(kx)/(piR^(2))` (b) `bx^(3//2)sqrt((2K)/(rhopiR^(2)))`

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