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A force is measured as 50 N with an uncertainty of ±1 N. What is the percentage
A force is measured as 50 N with an uncertainty of ±1 N. What is the percentage uncertainty in the force measurement?
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Q1
A force is measured as 50 N with an uncertainty of ±1 N. What is the percentage uncertainty in the force measurement?
2%
1%
0.5%
0.1%
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Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (1 / 50) * 100 = 2%.
Questions & Step-by-step Solutions
1 item
Q
Q: A force is measured as 50 N with an uncertainty of ±1 N. What is the percentage uncertainty in the force measurement?
Solution:
Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (1 / 50) * 100 = 2%.
Steps: 7
Show Steps
Step 1: Identify the measured value of the force, which is 50 N.
Step 2: Identify the absolute uncertainty, which is ±1 N.
Step 3: Use the formula for percentage uncertainty: (absolute uncertainty / measured value) * 100.
Step 4: Substitute the values into the formula: (1 N / 50 N) * 100.
Step 5: Calculate the fraction: 1 / 50 = 0.02.
Step 6: Multiply by 100 to convert to percentage: 0.02 * 100 = 2%.
Step 7: Conclude that the percentage uncertainty in the force measurement is 2%.
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