Chapter 2, Problem 2.44P

Interpretation Introduction

(a)

Interpretation:

The units of $3.53\times 10^{-2}$ and 2 in the equation for volume of the eggplant should be determined.

Concept introduction:

The volume of an eggplant is described as,

$\begin{array}{l}V\left({\text{ft}}^3\right)=3.53\times 10^{-2}\exp \left(2t^2\right)\\ \text{Where,}\text{t}\text{is}\text{time}\text{in}\text{hours}\end{array}$

It is assumed that the given equation is valid and therefore dimensionally homogeneous. So, the dimension of the left hand side and right hand side of the equation is equal. In addition, the exp() component is dimensionless.

Interpretation Introduction

(b)

Interpretation:

The two coordinates of plot, the slope and intercept of the plot should be determined.

Concept introduction:

The volume of an eggplant is described as,

$\begin{array}{l}V\left(f{t}^3\right)=3.53\times 10^{-2}\exp \left(2t^2\right)\\ \text{Where,}\text{t}\text{is}\text{time}\text{in}\text{hours}\end{array}$

Interpretation Introduction

(c)

Interpretation:

The formula in SI units should be calculated.

Concept introduction:

The volume of an eggplant is described as,

$\begin{array}{l}V\left(\text{f}{t}^3\right)=3.53\times 10^{-2}\exp \left(2{\text{t}}^2\right)\\ \text{Where,}\text{t}\text{is}\text{time}\text{in}\text{hours}\end{array}$

It is given that,

$1\text{ft}=0.304\text{8}\text{m}$