Physics > QUESTIONS & ANSWERS > PHYS 170Bulk Module of Air/University of Hawaii, Manoa, ALL ANSWERS CORRECT,100% SCORE (All)
Theory 1. Define the objectives of this experiment. a. The objectives of this experiment are to test to see if the bulk modulus of air can be measured and in the process, measure it. 2. What is bu... lk modulus, and how it is defined? a. Bulk modulus is a constant that is related to the force that pushes back when a gas is compressed. Bulk modulus can be defined as the measure of how resistant to compression that object/substance is. 3. What would be the bulk modulus of a presumably incompressible fluid? a. The bulk modulus would be theoretically infinite since there is no change in volume if a fluid is incompressible. The normal stress over the volume strain (0) comes out to infinite. 4. Explain how the force of a gas spring changes with its length, based on the theoretical concepts studied in this experiment? a. The force of a gas spring is similar to Hooke’s law because of the bulk modulus and spring constant. There’s a relationship between the change in position and the change in force which shows that dynamic and static methods can be used for measuring the bulk modulus like the spring constant. Procedure 1. What were the measured quantities in this experiment? a. The measured quantities are the mass of the ball, radius of the tube, volume of the bottle, three full periods of the ball drop, and depth of the ball drop. 2. Briefly describe the experimental procedure in the static measurement of the bulk modulus of the air? Explain how the bulk modulus of the air is calculated from the measured quantities in this test? a. For the static measurement of the bulk modulus of the air, the ball is dropped into the bottle five times and the average drop depth is calculated with its sdm(h). The A is found by using the radius of the tube to find the cross sectional area by plugging the value into the equation for the area of a circle. The deepest drop depth after the release before the ball bounces upward. That average h value is plugged into the equation for the bulk modulus which shows the relationship between the distance the ball drops and the bulk modulus: Bstatic=(2mgh)/A2h (1) 3. Briefly describe the experimental procedure in the dynamic measurement of the bulk modulus of the air? Explain how the bulk modulus of the air is calculated from the measured quantities in this test? a. The ball is dropped into the bottle and the measurement of three full periods are made to find the length of one period. The drop is measured another five times and used to calculate the average and sdm(T). The A (area) is found again through the radius of the tube. The average T value is then plugged into the equation that relates the period T to the bulk modulus: Bdyn=((4πV)/(T2A2))*m (2) 4. What was identified as a source of error in taking measurements during the dynamic test? [Show More]
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