Question

a 75 - horsepower outboard motor at full throttle will rotate its propeller at exactly 4300 revolutions per min. find the angular speed of the propeller in radians per second. 4300 rev per min = □ radians per sec (round to the nearest tenth as needed.)

Explanation:

Step1: Convert revolutions per minute to revolutions per second

We know that 1 minute = 60 seconds. So, if the propeller rotates at 4300 revolutions per minute, then the number of revolutions per second is $\frac{4300}{60}=\frac{215}{3}$ rev/sec.

Step2: Convert revolutions per second to radians per second

Since 1 revolution = $2\pi$ radians, the angular - speed $\omega$ in radians per second is $\omega=\frac{215}{3}\times2\pi$ radians per second.
$\omega=\frac{430\pi}{3}\approx450.5$ radians per second.

Answer:

450.5