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A student measures the speed of a car as 60.0 km/h with an uncertainty of ±2.0 k

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Question: A student measures the speed of a car as 60.0 km/h with an uncertainty of ±2.0 km/h. What is the percentage uncertainty in the speed measurement?

Options:

  1. 3.33%
  2. 2.0%
  3. 1.67%
  4. 5.0%

Correct Answer: 3.33%

Solution: 

Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (2.0 / 60.0) * 100 = 3.33%.

A student measures the speed of a car as 60.0 km/h with an uncertainty of ±2.0 k

Practice Questions

Q1
A student measures the speed of a car as 60.0 km/h with an uncertainty of ±2.0 km/h. What is the percentage uncertainty in the speed measurement?
  1. 3.33%
  2. 2.0%
  3. 1.67%
  4. 5.0%

Questions & Step-by-Step Solutions

A student measures the speed of a car as 60.0 km/h with an uncertainty of ±2.0 km/h. What is the percentage uncertainty in the speed measurement?
  • Step 1: Identify the measured value of the speed of the car, which is 60.0 km/h.
  • Step 2: Identify the absolute uncertainty in the measurement, which is ±2.0 km/h.
  • Step 3: Use the formula for percentage uncertainty: (absolute uncertainty / measured value) * 100.
  • Step 4: Substitute the values into the formula: (2.0 / 60.0) * 100.
  • Step 5: Calculate the division: 2.0 divided by 60.0 equals 0.0333.
  • Step 6: Multiply the result by 100 to convert it to a percentage: 0.0333 * 100 equals 3.33.
  • Step 7: Conclude that the percentage uncertainty in the speed measurement is 3.33%.
  • Percentage Uncertainty – The ratio of the absolute uncertainty to the measured value, expressed as a percentage, indicating the reliability of the measurement.
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