You are measuring the diameter of a small steel rod. The main scale reading is 5 mm, and the thimble scale coincides perfectly at the 28th division. Calculate the diameter of the steel rod.
Answer (2)
The main scale reading is 5 mm.
The thimble scale reading is 28 divisions, and we assume the least count is 0.01 mm.
Calculate the thimble scale reading: 28 divisions × 0.01 mm/division = 0.28 mm .
Calculate the total reading: 5 mm + 0.28 mm = 5.28 mm .
Explanation
Problem Analysis We are given the main scale reading as 5 mm and the thimble scale reading as 28 divisions. We need to calculate the diameter of the steel rod. The least count of the measuring instrument is assumed to be 0.01 mm.
Calculate Thimble Scale Reading The thimble scale reading is calculated by multiplying the thimble scale division by the least count. So, the thimble scale reading is 28 divisions * 0.01 mm/division = 0.28 mm.
Calculate Total Reading The total reading is calculated by adding the main scale reading and the thimble scale reading. So, the total reading is 5 mm + 0.28 mm = 5.28 mm.
Final Answer Therefore, the diameter of the steel rod is 5.28 mm.
Examples
In manufacturing, accurately measuring the diameter of rods is crucial for quality control. For example, if you're producing steel rods for construction, knowing the precise diameter ensures they fit correctly into structures, preventing instability or failure. This measurement helps maintain safety and reliability in construction projects.
The diameter of the steel rod is calculated by adding the main scale reading of 5 mm to the thimble scale reading of 0.28 mm. This results in a total diameter of 5.28 mm. Therefore, the final answer is 5.28 mm.
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