Answer:
[tex]\Delta t = 375\,s[/tex]
Step-by-step explanation:
The angular speed of the paddle wheel is determined by the following expression:
[tex]\omega = \frac{v}{R}[/tex]
[tex]\omega = \frac{6.7\,\frac{ft}{s} }{4\,ft}[/tex]
[tex]\omega = 1.675\,\frac{rad}{s}[/tex]
[tex]\dot n = 0.267\,\frac{rev}{s}[/tex]
The time required for the paddle wheel to complete 100 revolutions is:
[tex]\Delta t = \frac{n}{\dot n}[/tex]
[tex]\Delta t = \frac{100\,rev}{0.267\,\frac{rev}{s} }[/tex]
[tex]\Delta t = 374.532\,s[/tex]
