Question

1. convert 250 rpm to radians per second.

13.09 \\(\frac{rad}{s}\\)
8.33 \\(\frac{rad}{s}\\)
26.18 \\(\frac{rad}{s}\\)
52.36 \\(\frac{rad}{s}\\)

Explanation:

Step1: Convert RPM to rotations per second

Divide RPM by 60:
$\frac{250}{60} = \frac{25}{6}$ rotations/s

Step2: Convert to radians per second

Multiply by $2\pi$ radians/rotation:
$\frac{25}{6} \times 2\pi = \frac{25\pi}{3}$

Step3: Calculate numerical value

Substitute $\pi \approx 3.1416$:
$\frac{25 \times 3.1416}{3} \approx 26.18$ $\frac{rad}{s}$

Answer:

26.18 $\frac{rad}{s}$