In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±5 m/s. What is the percentage uncertainty in this measurement?

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1.47%
1.5%
2%
0.5%

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Q: In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±5 m/s. What is the percentage uncertainty in this measurement?

Solution: Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (5 / 340) * 100 ≈ 1.47%.

Steps: 7

Step 1: Identify the measured value, which is 340 m/s.
Step 2: Identify the absolute uncertainty, which is ±5 m/s.
Step 3: Use the formula for percentage uncertainty: (absolute uncertainty / measured value) * 100.
Step 4: Substitute the values into the formula: (5 / 340) * 100.
Step 5: Calculate the division: 5 divided by 340 equals approximately 0.0147.
Step 6: Multiply the result by 100 to convert it to a percentage: 0.0147 * 100 equals approximately 1.47%.
Step 7: Conclude that the percentage uncertainty in the measurement is approximately 1.47%.

In a lab experiment, the speed of sound is measured as 340 m/s with an uncertainty of ±5 m/s. What is the percentage uncertainty in this measurement?

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