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A force is measured as 50 N with an uncertainty of ±2 N. What is the relative un
A force is measured as 50 N with an uncertainty of ±2 N. What is the relative uncertainty in this force measurement?
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Practice Questions
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Q1
A force is measured as 50 N with an uncertainty of ±2 N. What is the relative uncertainty in this force measurement?
0.04
0.02
0.01
0.05
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Relative uncertainty = (absolute uncertainty / measured value) = 2 / 50 = 0.04 or 4%.
Questions & Step-by-step Solutions
1 item
Q
Q: A force is measured as 50 N with an uncertainty of ±2 N. What is the relative uncertainty in this force measurement?
Solution:
Relative uncertainty = (absolute uncertainty / measured value) = 2 / 50 = 0.04 or 4%.
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 ±2 N.
Step 3: Use the formula for relative uncertainty: relative uncertainty = (absolute uncertainty / measured value).
Step 4: Substitute the values into the formula: relative uncertainty = (2 N / 50 N).
Step 5: Calculate the result: 2 divided by 50 equals 0.04.
Step 6: Convert the relative uncertainty to a percentage by multiplying by 100: 0.04 * 100 = 4%.
Step 7: Conclude that the relative uncertainty in the force measurement is 4%.
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