Table of Contents
A metre scale is a tool used to measure the length of various objects. For example, the length of a rectangle might be 10 metres, where 10 is the magnitude of the length, and the metre is the unit. On a metre scale, 1 metre equals 100 centimetres. Measuring length with a metre scale is a common practice.
Join Our Courses: JEE Class 11 Students | JEE Class 12 Students | JEE Dropper
In this article, we will look at how to measure with a metre scale. Direct measurements are those that are taken directly with tools, instruments, or other calibrated measuring devices. For example, measuring the length of a table on a metre scale. When a formula or other calculations are required, the measurement is referred to as indirect measurement. For example, the radius of the Earth can be measured.
What is Measurement?
Measurement refers to finding the magnitude of any quantity. The tool for measuring should be easily available, like a wooden scale. There are seven basic physical quantities: length, mass, time, temperature, current, substance amount, and luminosity. Each of these has specific units: metre (for length), kilogram (for mass), second (for time), kelvin (for temperature), ampere (for current), mole (for substance), and candela (for luminosity). The metre is the standard unit for measuring length.
What is a Metre Scale?
In a measurement system, a metre scale is often used to measure the length of an object. Other tools like measuring tape can also be used. For instance, a ruler or metre scale can measure a pen’s length in centimetres. There are various units for measuring length, such as inches, centimetres, metres, and feet. All these units serve the same purpose: to measure the length of objects.
Measuring Length
Length measurement involves determining the size of an object using specific units. Understanding this concept is crucial as it helps us interact more effectively with our surroundings. For instance, if you see a jar in a store and want to describe its length to someone, you might say it’s around 3 feet tall to give them an idea.
Length Measurement Units
Length can be measured using different units such as centimetres, inches, or metres. These units can be classified into metric and imperial systems. Standard units, such as metres or feet, are consistent and do not vary between people or objects. If two people measure the same object using standard units like inches, they will get the same result.
Standard Length Measuring Units
Standard units like metres, centimetres, inches, feet, and yards are fixed and widely used. There are two main types of standard units: imperial and metric.
Imperial System of Units
The imperial system was developed in Britain and is used to measure various quantities. Common imperial units include miles, yards, feet, and inches. Below is a conversion table for imperial length units:
- 1 nautical mile = 1.151 miles = 1852 metres
- 1 mile = 1760 yards = 1609 metres
- 1 yard = 3 feet = 0.9144 metres
- 1 foot = 12 inches = 0.3048 metres
- 1 inch = 0.0254 metres
Metric Measurement Units
Metric units include kilometres, hectometres, decametres, metres, centimetres, and millimetres. These units are based on the metre as the standard unit. Here’s how they relate to each other:
- 1 kilometre = 1000 metres
- 1 hectometre = 100 metres
- 1 decametre = 10 metres
- 1 decimetre = 0.1 metre
- 1 centimetre = 0.01 metre
- 1 millimetre = 0.001 metre
Non-Standard Length Measuring Units
Non-standard units, like hand spans or foot spans, do not have a fixed value and can vary between people.
Least Count of a Metre Scale
The least count is the smallest value that a measuring device, like a metre scale, can accurately measure. It represents the level of precision of the instrument.
To calculate the least count of a metre scale, we use the formula: Least count = smallest reading on the scale / number of divisions on the scale.
For a metre scale, 1 cm is typically divided into 10 equal parts. Therefore, the least count is:
1 cm / 10 = 0.1 cm or 1 mm.
This means the least count of a metre scale is 0.1 cm or 1 mm.
FAQs on Metre Scale
What is the smallest unit of length on a metre scale?
The millimetre is the smallest unit of length on a metre scale. It is commonly used to measure very small distances.
Can you provide an example of non-standard length measuring units?
Yes, an example of non-standard length measurement is using handspan. If a child and an adult, like his uncle, use their handspan to measure the length of a wall, they will likely get different measurements. This is because a child's handspan is smaller than an adult’s.
What are some examples of non-standard units for measuring length?
Non-standard units of measuring length include handspan, foot span, finger width, pace, cubit, strings, or ropes. These units are not as precise as the metre scale.
What is the SI unit of length measurement?
The SI unit for measuring length is the metre (m). The metre is the basic unit of length measurement on a metre scale.