Damping Force Constant Units – Rankers Physics

Units: Practice Problem & Solution

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are: [2012 pre]
\(kg m s^{-1}\)
\(kg/ms\)
\(kg s^{-1}\)
\(kg s\)

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Units. Understanding the underlying formula is key to arriving at the correct answer below:

Damping force \(F_d = -bv\). The constant \(b\) has dimensions \([F_d]/[v] = (MLT^{-2})/(LT^{-1}) = MT^{-1}\), which is \(kg s^{-1}\).

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