Question

Which of the following is the correct unit of k in the equation of a damped harmonic oscillator given as
−bv−kx=ma
, where b is the damping factor and all the symbols have their usual meaning?

Answer 1

Answer on Question#51610 - Physics - Field Theory

Which of the following is the correct unit of $k$ in the equation of a damped harmonic oscillator given as

$$- b v - k x = m a$$

, where $b$ is the damping factor and all the symbols have their usual meaning?

Solution:

The unit of $ma$ is $\mathrm{kg} \cdot \mathrm{m} \cdot \mathrm{s}^{-2}$. Since $kx$ should be of the same unit and the unit of $x$ is m, the unit of $k$ is $\mathrm{kg} \cdot \mathrm{s}^{-2}$.

Answer: $\mathrm{kg} \cdot \mathrm{s}^{-2}$

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