Questions: (11.) The propeller of a speedboat rotates 650 times per minute. Through how many degrees will a point on the edge of the propeller rotate in 2.4 seconds?

Solution Steps

First, we need to convert the rotations per minute to rotations per second. The propeller rotates 650 times per minute. Since there are 60 seconds in a minute, we calculate the rotations per second as follows:

\[ \text{Rotations per second} = \frac{650 \text{ rotations}}{60 \text{ seconds}} = \frac{65}{6} \approx 10.8333 \text{ rotations per second} \]

Next, we calculate how many rotations the propeller makes in 2.4 seconds:

\[ \text{Total rotations in 2.4 seconds} = 10.8333 \text{ rotations/second} \times 2.4 \text{ seconds} = 26 \]

Each full rotation corresponds to 360 degrees. Therefore, the total degrees rotated in 2.4 seconds is:

\[ \text{Degrees rotated} = 26 \text{ rotations} \times 360 \text{ degrees/rotation} = 9360 \text{ degrees} \]

Final Answer