A student measures the length of a table as 1.20 m with an uncertainty of 0.02 m

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Question: A student measures the length of a table as 1.20 m with an uncertainty of 0.02 m. What is the total length if he measures 3 tables?

Options:

Correct Answer: 3.60 m

Solution:

Total length = 3 * 1.20 m = 3.60 m. The uncertainty for 3 tables = 3 * 0.02 m = 0.06 m.

A student measures the length of a table as 1.20 m with an uncertainty of 0.02 m. What is the total length if he measures 3 tables?

A student measures the length of a table as 1.20 m with an uncertainty of 0.02 m. What is the total length if he measures 3 tables?

Step 1: Identify the length of one table, which is 1.20 m.
Step 2: Identify the uncertainty for one table, which is 0.02 m.
Step 3: To find the total length of 3 tables, multiply the length of one table by 3: 1.20 m * 3 = 3.60 m.
Step 4: To find the total uncertainty for 3 tables, multiply the uncertainty of one table by 3: 0.02 m * 3 = 0.06 m.
Step 5: Combine the total length and total uncertainty: The total length is 3.60 m with an uncertainty of 0.06 m.

Measurement and Uncertainty – Understanding how to calculate total measurements and their associated uncertainties when multiple identical measurements are taken.
Multiplication of Measurements – Applying multiplication to both the measured value and its uncertainty when scaling measurements.