Chapter 5.2, Problem 57E

To determine

(a)

To find:

The angle $\theta$ is changing with respect to time, that is it is a function of $t$ use the chain rule to find the derivative of $s$ with respect to $t$, $\frac{ds}{dt}$. The distance of a piston with respect to the crank for a 1937 john Deere B engine is $s\left(\theta \right)=2.625\cos \theta +2.625{\left(15+{\cos }^2\theta \right)}^{1/2}$

Where $s$ is measure in inches and $\theta$ in radians.

To determine

(b)

To find:

The maximum velocity when $\theta =4.944$ and $\frac{d\theta }{dt}=1340$ rev per minute.