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Motion and Measurement of Distances - Correct Way of Measuring Length

Grade 6CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Measurement is the comparison of an unknown quantity with some known quantity of the same kind. This known fixed quantity is called a unit.

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For the sake of uniformity, scientists all over the world have accepted a set of standard units of measurement. The system of units now used is known as the International System of Units (SI units).

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The SI unit of length is the metre (mm). For measuring large distances, we use kilometres (kmkm), and for smaller lengths, we use centimetres (cmcm) or millimetres (mmmm).

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To measure the length of an object, the scale must be placed in contact with the object along its length.

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If the zero mark of a scale is broken or not clear, we should use any other full mark of the scale, say 1.0 cm1.0 \text{ cm}. Then, subtract the reading of this mark from the reading at the other end.

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Correct position of the eye: Your eye must be exactly in front of the point where the measurement is to be taken. Looking from an angle leads to errors called parallax errors.

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The length of a curved line cannot be measured directly using a metre scale. We use a thread to measure the length of a curved line and then measure the thread length on a scale.

📐Formulae

1 km=1000 m1 \text{ km} = 1000 \text{ m}

1 m=100 cm1 \text{ m} = 100 \text{ cm}

1 cm=10 mm1 \text{ cm} = 10 \text{ mm}

Actual Length=Final Reading−Initial Reading\text{Actual Length} = \text{Final Reading} - \text{Initial Reading}

💡Examples

Problem 1:

While measuring the length of a knitting needle, the reading of the scale at one end is 3.0 cm3.0 \text{ cm} and at the other end it is 33.1 cm33.1 \text{ cm}. What is the length of the needle?

Solution:

Length of the needle = Final Reading −- Initial Reading = 33.1 cm−3.0 cm=30.1 cm33.1 \text{ cm} - 3.0 \text{ cm} = 30.1 \text{ cm}.

Explanation:

Since the measurement did not start from 00, we subtract the starting mark from the final mark to find the actual length: 33.1−3.030.1\begin{array}{r} 33.1 \\ - 3.0 \\ \hline 30.1 \end{array}

Problem 2:

The distance between Radha's home and her school is 3250 m3250 \text{ m}. Express this distance in kmkm.

Solution:

Distance = 32501000 km=3.25 km\frac{3250}{1000} \text{ km} = 3.25 \text{ km}.

Explanation:

To convert metres to kilometres, we divide by 10001000 because 1 km=1000 m1 \text{ km} = 1000 \text{ m}.