AS3/ Expt-g/ Archer

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AS3/ Expt-g/ Archer

  1. 1. HOW TO DETERMINE “g” AS3 ARCHER
  2. 2. Preparations <ul><li>To use this method we should prepare some tools first: </li></ul><ul><li>(1)A small model car (If you don’t have a model car, you can use a wooden board instead. Make sure the surface of the board is smooth enough.) </li></ul><ul><li>(2)A U-tube </li></ul><ul><li>(3)A rule </li></ul><ul><li>(4)Spring balance </li></ul><ul><li>(5)Two pan balance </li></ul><ul><li>(6)Vernier caliper </li></ul>
  3. 3. <ul><li>Now let’s make this contraption . </li></ul><ul><li>(1) Make a small hole in the front of the car </li></ul><ul><li>(2) Put the U-tube on the model car. Make sure it is firm enough when the car is moving. </li></ul><ul><li>(3)Connect the spring balance and the car </li></ul><ul><li>(4)Put the water in the tube. Don’t fill full of the tube, just fill half. </li></ul><ul><li>This is the contraption: </li></ul>
  4. 4. Experimental procedures <ul><li>Measure the distance between the two tubes of the U-tube “L”. </li></ul><ul><li>Use the two pan balance to measure the mass of the whole contraption “M”. </li></ul><ul><li>Use vernier caliper to measure the diameter of the tube. </li></ul><ul><li>Calculate the cross-sectional area of the tube . </li></ul>
  5. 5. <ul><li>To calculate the cross-sectional area of the tube we can use this formula: </li></ul><ul><li>cross-sectional area S =π(d/2)^2 </li></ul><ul><li>Calculate the mass of the water in the tube. </li></ul><ul><li>To calculate the mass of the water in the tube, we can use the following formula: </li></ul><ul><li>m=ρSL (ρ= 1.0 g/cm^3 ) </li></ul><ul><li>Now we can start the experiment. Pull the spring balance in a constant force. Read the indication on the spring balance F. </li></ul><ul><li>Calculate the acceleration of the contraption. </li></ul>
  6. 6. <ul><li>To calculate the acceleration of the contraption we can use this formula: </li></ul><ul><li>a=F/M </li></ul><ul><li>Use the rule to measure the difference of the water height between the two tubes Δh </li></ul><ul><li>Because the resultant force F(F=ma=ρSLF/M )balance the force from the pressure difference of the water. </li></ul><ul><li>So F=ma=ρSLF/M=ρgSΔ h </li></ul><ul><li>Now we can calculate the g by using the following formula: </li></ul><ul><li>g=FL/(MΔh) </li></ul>
  7. 7. <ul><li>Now, change the force “F” and do this experiment several times, write down the different “Δh” in different experiments. Substitue “F” and “Δh” in the formula g=FL/(MΔh) to work out the “g”. </li></ul>
  8. 8. Errors <ul><li>The systematic errors may from this following points: </li></ul><ul><li>(1) the distance between the two tubes of the U-tube “L” </li></ul><ul><li>(2) The mass of the contraption “M”. </li></ul><ul><li>The Random errors may from this following points: </li></ul><ul><li>(1) the indication on the spring balance “F”. </li></ul><ul><li>(2) the difference in height of the water between the two tubes “Δh” </li></ul>

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