A force is measured as 50 N with an uncertainty of ±2 N. What is the percentage

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Question: A force is measured as 50 N with an uncertainty of ±2 N. What is the percentage uncertainty in the force measurement?

Options:

Correct Answer: 4%

Solution:

Percentage uncertainty = (absolute uncertainty / measured value) * 100 = (2 / 50) * 100 = 4%.

A force is measured as 50 N with an uncertainty of ±2 N. What is the percentage uncertainty in the force measurement?

A force is measured as 50 N with an uncertainty of ±2 N. What is the percentage uncertainty in the force measurement?

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 percentage uncertainty: Percentage uncertainty = (absolute uncertainty / measured value) * 100.
Step 4: Plug in the values: (2 N / 50 N) * 100.
Step 5: Calculate the division: 2 divided by 50 equals 0.04.
Step 6: Multiply the result by 100: 0.04 * 100 equals 4.
Step 7: Conclude that the percentage uncertainty in the force measurement is 4%.

Percentage Uncertainty – The concept of percentage uncertainty involves calculating the uncertainty of a measurement as a percentage of the measured value, which helps in understanding the reliability of the measurement.
Absolute Uncertainty – Absolute uncertainty refers to the margin of error in a measurement, indicating how much the measured value could vary.