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The unit of natural circular frequency is

  • A.hertz per second
  • B.radians per second
  • C.cycles per second
  • D.seconds

Answer: B

Correct answer: radians per second

Circular frequency \( \omega \) is measured in radians per second, and it relates to the cyclic frequency \( f \) in hertz by

\[ \omega = 2\pi f \]

with the period \( T = 1/f = 2\pi/\omega \) in seconds. Keeping the two apart is essential in numerical work: the factor of \( 2\pi \) between them is the commonest source of error in dynamics calculations, and the units are what identify which quantity a formula expects.

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