Spring constant of a spring is calculated using formulae K =4pi2M/T2,where T is time period of vertical oscillation when mass - Physics - Units And Measurements

Question

Spring constant of a spring is calculated using formulae K
=4pi2M/T2,where T is time period of vertical
oscillation when mass M is hung with the help of spring to rigid
support If time of oscillation for 10 oscillations is measurd to be
5 0s and mass M =0 20kg, find possible error in spring constant
K

Neha Gupta · Accepted Answer

Spring constant is given by:
K = 4π2MT2time for 10 oscillations = 5 stime period = 5/10 = 0
5 sM = 0 2 kgK = 4×3 14×3 14×0 20 5×0 5K =
31 55 kg/s2Error in K:∆KK = 2∆TTall other quantities
are constant If error in time period is given then we can calculate
the error in spring constant