# Derived quantities and units – problems and solutions

1.

Based on the above table, determine the derived quantities and its international units.

Solution

**Density**

The equation of density is ρ = m / V

m = mass (its international unit is kilogram, abbreviated kg)

V = volume (its international unit is a cubic meter, abbreviated m^{3})

ρ = density (its international unit is kilogram per cubic meter, abbreviated kg/m^{3})

**Force**

The equation of force is F = m a

m = mass (its international unit is kilogram, abbreviated kg)

a = acceleration (its international unit is meters per second squared, abbreviated m/s^{2})

F = force (its international unit is kilogram meters per second squared, abbreviated kg m/s

^{2})

**Velocity**

The equation of velocity is v = s / t

s = distance (its international unit is meter, abbreviated m)

t = time (its international unit is second, abbreviated s)

v = velocity (its international unit is meter per second, abbreviated m/s)

**Area**

The equation of area is A = l x l

l = length (its international unit is meter, abbreviated m)

A = area (its international unit is meter squared, abbreviated m^{2})

**Temperature**

Temperature is base quantity. Symbol of temperature is T and its international unit is Kelvin, abbreviated K.

The derived quantities and its international units are shown by number (1), (2), and (3).

2.

The derived quantities and its international units are shown by number……

Solution

(1) Volume: derived quantity

(2) Electric current: base quantity

(3) The intensity of light: base quantity

(4) Electric voltage: derived quantity

(5) Pressure: derived quantity

The derived quantities and its international units are shown by number (1), (4), and (5)