Problem 26 Express the following SI units i... [FREE SOLUTION]

Chapter 1: Problem 26

Express the following SI units in symbol form: millisecond

Short Answer

Expert verified

The symbol form for millisecond is \(\textbf{ms}\).

Step by step solution

Identify the SI Prefix

First, we need to determine the corresponding prefix for "milli". In the International System of Units (SI), "milli" is represented by the letter \(m\). This prefix means that the unit is multiplied by \(10^{-3}\).

Identify the Base SI Unit

Now, we must determine the base SI unit for the given quantity of time. The base SI unit for time is the second, which is represented by the symbol \(s\).

Combine the SI Prefix and Base Unit

Finally, we combine the SI prefix symbol and the base SI unit symbol to express the SI unit in symbol form. In this case, we have the prefix \(m\) and the base unit \(s\). So, the symbol form for millisecond is \(\textbf{ms}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

SI Prefixes

SI Prefixes are essential for expressing very large or very small numbers in a compact form. They adjust the scale of the base units to make them easy to work with and understand. For example, when we talk about a "millisecond," we are using the prefix "milli."

The prefix "milli" is denoted by the letter \( m \).
It signifies a factor of \( 10^{-3} \) or one-thousandth.

This means a millisecond represents one-thousandth of a second. Prefixes like milli allow us to effectively communicate measurements, providing clarity by scaling the base units around real-world scenarios. Understanding and identifying the prefix is crucial when converting or interpreting measurements.

Base SI Units

The International System of Units, commonly known as SI, provides a set of standard units that form the foundation for all other measurements. They help ensure consistency and accuracy in the scientific and technical fields. Among the seven base SI units, **time** is measured in seconds.

Symbol for second: \( s \)
Defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of the cesium-133 atom.

Seconds serve as the base unit of time in the SI system. Knowing the base units is the first step in understanding how to combine them with prefixes for precise and accurate measurement results.

Unit Conversion

Converting units often involves combining SI prefixes with base units to obtain a more practical measurement. For instance, to express milliseconds in terms of seconds, we utilize the prefix "milli" introduced earlier.

A millisecond (\( ms \)) can be converted to seconds by applying the factor \( 10^{-3} \).
Therefore, 1 millisecond equals 0.001 seconds or \( 1 \times 10^{-3} \) seconds.

The process involves multiplying the given value by the conversion factor associated with the prefix鈥攖his reflects how understanding both prefixes and base units is integral for successful unit conversion.

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91影视

Express the following SI units in symbol form: millisecond

Short Answer

Step by step solution

Identify the SI Prefix

Identify the Base SI Unit

Combine the SI Prefix and Base Unit

Key Concepts

SI Prefixes

Base SI Units

Unit Conversion

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