To solve the problem of reading a triple beam balance, we need to understand how the triple beam balance works. A triple beam balance has three sliding weights (beams) that are used to measure mass. Each beam has a different weight capacity, and the total mass is calculated by adding the values from all three beams.
Step-by-Step Solution:
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1. Understanding the Triple Beam Balance
- The triple beam balance has three beams:
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Rider beam: This is the smallest beam and is used for the most precise measurement.
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Middle beam: This beam is used for medium-sized measurements.
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Large beam: This beam is used for the largest measurements.
- Each beam has a sliding weight (rider) that can be moved along the beam. The position of the rider determines the mass it contributes.
- The scale on each beam indicates the mass value at each mark.
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2. Reading the Mass
To find the total mass, we read the values from each beam and add them together.
Problem 1:
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Large beam: The slider is at 100 g.
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Middle beam: The slider is at 30 g.
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Rider beam: The slider is at 4.5 g.
Total Mass = 100 g + 30 g + 4.5 g = 134.5 g
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Problem 2:
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Large beam: The slider is at 200 g.
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Middle beam: The slider is at 50 g.
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Rider beam: The slider is at 7.8 g.
Total Mass = 200 g + 50 g + 7.8 g = 257.8 g
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Problem 3:
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Large beam: The slider is at 300 g.
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Middle beam: The slider is at 10 g.
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Rider beam: The slider is at 3.2 g.
Total Mass = 300 g + 10 g + 3.2 g = 313.2 g
Final Answers:
1. Mass =
134.5 g
2. Mass =
257.8 g
3. Mass =
313.2 g
Boxed Final Answer:
\[
\boxed{134.5 \text{ g}, 257.8 \text{ g}, 313.2 \text{ g}}
\]
Parent Tip: Review the logic above to help your child master the concept of reading triple beam balance worksheet.