Suppose a spring with spring constant 1 Nm is horizontal and

Suppose a spring with spring constant 1 N/m is horizontal and has one end attached to a wall and the other end attached to a mass. You want to use the spring to weigh items. You put the spring into motion and find the frequency to be 1.4 Hz (cycles per second). What is the mass? Assume there is no friction.

Solution

the frequency of oscillations of a spring is

f=(1/2pi)sqrt[K/m]

=>m =K/4pi²f²=1/4pi²*1.4²

m=0.01292 kg or 12.92 g