To convert, remember that

1 rev \(\displaystyle={2}\times\pi\) rad

Substitute:

1. \(\displaystyle{500}\times{2}\pi={1000}\pi\)

\(\displaystyle\approx{3141.6}\) rad/sec

2. \(\displaystyle{300}\times{2}\pi={600}\pi\)

\(\displaystyle\approx{1884}\) rad/sec

1 rev \(\displaystyle={2}\times\pi\) rad

Substitute:

1. \(\displaystyle{500}\times{2}\pi={1000}\pi\)

\(\displaystyle\approx{3141.6}\) rad/sec

2. \(\displaystyle{300}\times{2}\pi={600}\pi\)

\(\displaystyle\approx{1884}\) rad/sec