A pendulum consists of a copper sphere of radius R and density ? suspended from a string. The motion of the sphere experiences a viscous drag from the air such that the amplitude of oscillation. A, decays with time, t, as follows:

Where

A₀ is the amplitude at time t = 0 and ? is the viscosity of the air. The measurement of the amplitudes is accurate to 1%; other measurements are recorded below. Evaluate the time taken for the amplitude to fall to 85% of A₀ and the error in this quantity. Which experimental parameter contributes the largest error to the final result?

Transcribed Image Text:

Ay exp (-yt).