# 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 m3)

ρ = density (its international unit is kilogram per cubic meter, abbreviated kg/m3)

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/s2)

F = force (its international unit is kilogram meters per second squared, abbreviated kg m/s2)

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 m2)

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).

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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)

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