Copy of Force and Acceleration Lab

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Stony Brook University *

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131

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Aerospace Engineering

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Jan 9, 2024

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pdf

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Force and Acceleration Lab Report
Introduction: In this lab, we will do different experiments to find the mass of the iolab device with force and acceleration. The relationship between mass, force, and acceleration is F=ma. Newton’s second law, where it states that acceleration depends directly on the force that is exerted on an object, otherwise the object will remain at equilibrium until a force is applied. Procedure: Experiment 1: 1. Open the iolab website and connect the dongle into the USB port 2. Power on the iolab device 3. Screw on the eye bolt onto the force sensor 4. Place the iolab device in the orientation such that the Y is pointing towards the surface of the table 5. Press record and allow the iolab device to st on the surface of the table for 10 seconds 6. After 10 seconds, lift the device and maintain the height for 5-10 seconds before placing the device back onto the table 7. Stop recording 8. Press the graph element option and highlight the section of the accelerometer graph where the device is at rest to find the value of acceleration 9. Then, highlight a section of the force graph where the force is not 0 10. Calculate the mass of the iolab device using the equation F g =mg Experiment 2: 1. Open the iolab website and make sure the device is turned on and dongles are in the USB port 2. Attach eye bolt into the force sensor 3. Turn the device in the orientation so that the wheels are faced up 4. Press record 5. Give the device 5 consecutive pushes of increasing strength using the tip of the thumb 6. Click the graph option and hover over the peak (blue graph) in the force graph to find force and acceleration at that point 7. Repeat step 6 with the other peaks 8. Input values of acceleration and force in excel 9. Select scatterplot 10. Organize the graph so Acceleration is the X variable and Force is Y variable. 11. Select linear line equation Experiment 3: 1. Open the iolab website and make sure the device is turned on and the dongles are plugged into the USB port
2. Attach eye bolt into the force sensor and hook the spring included in the lab kit on the eye bolt 3. Attach the other end of the spring with a binder clip And place it on the edge of a table or chair 4. Give the device a small pull so that it oscillates 5. Once it starts oscillating, press record for about 10 seconds 6. Stop recording 7. Switch from chart mode to parametric plot mode 8. Use graph element and highlight the the oscillation graph below the Force vs Accelerometer graph Results: Figure 2: Force and Accelerometer graph during 5 consecutive pushes of increasing strength (blue graph in accelerometer indicates acceleration). As force increases, the acceleration also increases. Graph for experiment 2 Figure 3: A zoomed in data of one peak, F y =2.302N nd A y = 11.567 m/s 2 Figure 4: Left: table of values for acceleration and force based on the peaks in figure 2. Right: A scatterplot and linear equation based on the table Figure 5: Oscillation graphs. Top: Acceleration; Bottom: Force. Graph of experiment 3
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Figure 6: Oscillation graph of Acceleration vs Force Figure 7: Left: One point on the graph; Right: Second point on the graph. Two points are used to find the slope of the graph. Graph for experiment 3 (Acceleration m/s^2, Force N) Coordinate 1 (left graph) (-14.1354, -2.7073) Coordinate 2 (right graph) (-5.8632, -1.3219) Calculations: Calculation for device: Fg=mg -1.948N=m(-9.811m/s 2 ) 0.198kg= m
Slope of the two points: Y 2 -Y 1 /X 2 -X 1 = m -1.3219-(-2.7073)/-5.8632-(-14.1354) 0.167= m Slope of scatter plot graph 0.163= m Point [11.567m/s 2 (acceleration), 2.302N(force)] F=ma F=0.163(11.567m/s 2 ) F=1.885N |[(1.885-2.302)/2.302]*100|=18.11% error =0.521% Uncertainty σ(?/?) = 0. 00521 Percent error % error= [(Measured-Observed)/Observed]*100