A piston experiences a constant force of

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

F=1500\,\text{N}

. Its instantaneous area is

A(t)

^{2}

, so the pressure is

P(t)=\dfrac{F}{A(t)}

. When

A=25\,\text{cm}^{2}

and

\dfrac{dA}{dt}=-2\,\text{cm}^{2}/\text{s}

, determine

\dfrac{dP}{dt}

in pascals per second

(1\,\text{N/cm}^{2}=10^{4}\,\text{Pa})