Final answer:
The percent error of the experimental gravity value compared to the accepted value is approximately 4.38%. Discrepancies might result from various measurement or environmental factors, and accuracy can be improved by refining the experimental approach and equipment.
Step-by-step explanation:
To calculate the percent error of the experimental value of gravity compared to the accepted value, we first find the difference between these values and then divide by the accepted value. Next, to get the percentage, we multiply the result by 100. Here is the step-by-step calculation:
Subtract the accepted value (9.81 m/s²) from the experimental value (10.24 m/s²): 10.24 m/s² - 9.81 m/s² = 0.43 m/s².
Divide the difference by the accepted value: 0.43 m/s² / 9.81 m/s² = 0.04383219.
Multiply by 100 to find the percent error: 0.04383219 × 100 = 4.383%.
The percent error of the experimental gravity value is approximately 4.38%. This discrepancy might be due to measurement errors, environmental factors, or equipment inaccuracies. To improve the accuracy of future findings, one could review and refine the experimental setup, check calibration of measurement devices, and try to minimize environmental variables.
Errors in measuring gravitational acceleration can arise from many sources - from the way forces are measured, timing inaccuracies, to local variations in Earth's gravity due to altitude or geological differences.
The local value for the acceleration due to gravity can vary slightly from the average value of 9.80 m/s². Factors such as latitude, altitude, underground structures, and topography can influence this value.