Physics

Problem

The physical quantity

Q

is defined by

Q = \dfrac{a^{3} b}{c^{2}}

. The measured values are

a = (0.80 \pm 0.02)\,\text{m}

b = (2.50 \pm 0.05)\,\text{m}

and

c = (1.20 \pm 0.03)\,\text{m}.

Calculate the numerical value of

Q

and its absolute uncertainty. Write the final result using the appropriate significant figures.