Question

Water flows out of a pipe at the rate of 3.0 cm^3/s. Determine the velocity of the H2O at a point where its diameter is a) 0.50 cm & b) 0.80 cm

Answer 1

Answer on Question #72538-Physics-Mechanics-Relativity

Water flows out of a pipe at the rate of $3.0~\mathrm{cm}^3/\mathrm{s}$. Determine the velocity of the H2O at a point where its diameter is a) $0.50~\mathrm{cm}$ & b) $0.80~\mathrm{cm}$

Solution

$$\frac {d V}{d t} = A v.$$ $$A = \frac {\pi d ^ {2}}{4}.$$

Thus,

$$\frac {d V}{d t} = \frac {\pi d ^ {2}}{4} v$$

a)

$$v = \frac {4}{\pi} \frac {3.0}{(0.50)^2} = 15 \frac {cm}{s}.$$

b)

$$v = \frac {4}{\pi} \frac {3.0}{(0.80)^2} = 6.0 \frac {cm}{s}.$$

Answer provided by AssignmentExpert.com