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A weight is measured to be 50 kg with a possible error of 1 kg. What is the perc
A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?
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Practice Questions
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Q1
A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?
2%
1%
0.5%
5%
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Percentage error = (Absolute error / Measured value) * 100 = (1 / 50) * 100 = 2%
Questions & Step-by-step Solutions
1 item
Q
Q: A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?
Solution:
Percentage error = (Absolute error / Measured value) * 100 = (1 / 50) * 100 = 2%
Steps: 7
Show Steps
Step 1: Identify the measured value, which is 50 kg.
Step 2: Identify the absolute error, which is 1 kg.
Step 3: Use the formula for percentage error: Percentage error = (Absolute error / Measured value) * 100.
Step 4: Substitute the values into the formula: Percentage error = (1 kg / 50 kg) * 100.
Step 5: Calculate the division: 1 kg / 50 kg = 0.02.
Step 6: Multiply by 100 to find the percentage: 0.02 * 100 = 2%.
Step 7: Conclude that the percentage error in the measurement is 2%.
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