A weight is measured to be 50 kg with a possible error of 1 kg. What is the perc

Practice Questions

Q1
A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?
  1. 2%
  2. 1%
  3. 0.5%
  4. 5%

Questions & Step-by-Step Solutions

A weight is measured to be 50 kg with a possible error of 1 kg. What is the percentage error in the measurement?
  • 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%.
  • Percentage Error – Percentage error is a way to express the accuracy of a measurement by comparing the absolute error to the measured value.
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