Dimensional Analysis Quiz 6

What are the dimensions of the following?

  1. 3
  2. given \(\sin (\omega t)\), where \(t\) is time, \([\omega]\) = ?
  3. \(\sin(\omega t)\)
  4. force
  5. height
  6. frequency
  7. displacement
  8. area × volume
  9. 0.5 × volume
  1. dimensionless
  2. \(T^{-1}\)
  3. 1 (dimensionless)
  4. \(M\cdot L/T^2\)
  5. \(L\)
  6. \(T^{-1}\)
  7. \(L\)
  8. \(L^5\)
  9. \(L^3\)