Numford

SI base quantitiesClass 11, Units and Measurements

Dimensional formula of Time

[T]

Symbolt SI unitsecond (s)

The SI base quantity for duration. Time interval, period and half-life all have this dimension.

Derivation

How to get the dimensional formula of time

  1. Time is one of the seven SI base quantities, so its dimension is written directly: [T].
Same dimensions

Quantities with the dimensions [T]

Equal dimensions do not make them the same quantity. Compare time with the others in the full grid.

Practice

Three questions on time

1Which of these has the same dimensions as time?

2What is the SI unit of time?

3Which one has different dimensions from the others?

Try it

An equation that uses time

Equation checker

Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.

Read ass = u t + (1/2) a t2
s[L]ut[L]1/2 at2[L]
Dimensionally consistentEvery term is [L]
t = timea = acceleration
Questions

Time: quick answers

What is the dimensional formula of time?

The dimensional formula of time is [T]. It is one of the seven SI base quantities.

What is the SI unit of time?

The SI unit of time is the second (s).

Which quantities have the same dimensions as time?

Time shares [T] with time period, time constant, Half-life. Equal dimensions do not make them the same quantity.

Open the dimensional formula tool