Table of Contents

- 1 Can a quantity have unit without having dimension?
- 2 Do all units have dimension?
- 3 Can there be a physical quantity without units and without dimensions?
- 4 What is importance of dimension?
- 5 Can a dimensionless physical quantity have a unit justify with an example?
- 6 Which physical quantity has neither dimension nor unit?
- 7 What is the importance of dimension and dimensioning?
- 8 What is importance of unit of measurement for a dimension?
- 9 Which is quantity has unit but no dimension?
- 10 How are the dimensions of a physical quantity related?
- 11 How are units related to the same dimension?

## Can a quantity have unit without having dimension?

Yes, a quantity can have unit but no dimension. These are Dimensionless Quantities, some of which have units. This would be things like angles, proportions, or ratios.

## Do all units have dimension?

The meter and mile are different units, since each contains a different amount of length, but both describe length and therefore are identical dimensions….1.2. 3 Units of Other Physical Quantities.

Quantity | Dimension | Unit (abbreviation) |
---|---|---|

Length | L | Meter (m) or feet (ft) |

Mass | M | Kilogram (kg) or slug or pound-mass (lbm) |

**Can a quantity have units but still be dimensionless justify?**

Can a quantity have units but still be dimensionless? Yes, there are certain quantities which have units but they are dimensionless. For example, angle, loudness, solid angle.

### Can there be a physical quantity without units and without dimensions?

Can there be a physical quantity which has no units and no dimensions. Yes, for example, strain has no units and no dimensions.

### What is importance of dimension?

Dimensional measurement is of fundamental importance for interchangeability and global trade. It is how we ensure that things will fit together. Without global length standards as the basis for standardized parts globalized industry would not be possible.

**What is the importance of dimensional analysis?**

The study of the relationship between physical quantities with the help of dimensions and units of measurement is termed as dimensional analysis. Dimensional analysis is essential because it keeps the units the same, helping us perform mathematical calculations smoothly.

## Can a dimensionless physical quantity have a unit justify with an example?

Dimensionless quantity is also known as the quantity of dimension with one as a quantity which is not related to any physical dimension. It is a pure number with dimension 1….Example Of Dimensionless Quantity With Unit.

Physical quantity | Unit |
---|---|

Atomic mass | AMU = 1.66054 x 10-27kg |

## Which physical quantity has neither dimension nor unit?

Relative density is the ratio of two like quantities. Therefore, it has neither unit nor dimensions.

**Can a quantity have dimensions but still have no units give examples?**

No, it is not true to say that a quantity have dimensions but still have no units. For example angle have unit (radian/degree) but it is a dimensionless quantity.

### What is the importance of dimension and dimensioning?

The purpose of dimensioning is to provide a clear and complete description of an object. A complete set of dimensions will permit only one interpretation needed to construct the part. Dimensioning should follow these guidelines. Accuracy: correct values must be given.

### What is importance of unit of measurement for a dimension?

For most quantities a unit is necessary to communicate values of that physical quantity. For example, conveying to someone a particular length without using some sort of unit is impossible, because a length cannot be described without a reference used to make sense of the value given.

**Why do we have different units for the same physical quantity?**

We have different units for the same physical quantity because these units were used in different parts of the world. Every country had its own way to express these physical quantities which started creating confusions. The SI unit of mass is kilograms. …

## Which is quantity has unit but no dimension?

Angle and solid angle are the physical quantities which have no dimensional formula as they are the ratios of the same physical quantity, but we measure them. Solid angle is measured in steradian.

A physical quantity Q has dimensions a, b and c in length (L), mass (M) and time (T), respectively and n 1 is its numerical value in a system in which the fundamental units are L 1, M 1 and T 1 and n 2 is the numerical value in another system in which the fundamental units are L 2, M 2 and T 2, respectively then

**Which is a function of the fundamental dimensions?**

These dimensions are independent of the numerical multiples and constants and all the quantities in the world can be expressed as a function of the fundamental dimensions. The expression showing the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity is called the dimensional formula of that quantity.

All units for the same dimension are related to each other through a conversion factor (e.g., 2.54 cm is exactly equal to 1 in). There are seven base dimensions that can be combined to describe all of the other dimensions of interest in engineering and physics, among other disciplines.