A typical atom in a solid might oscillate with a frequency of 1.4*10^2 Hz and an

Question

A typical atom in a solid might oscillate with a frequency of 1.4*10^2 Hz and an amplitude of 0.11 angstrom (1.1*10^-11m).
Find the maximum acceleration of the atom.
Compare it with the acceleration of gravity. A typical atom in a solid might oscillate with a frequency of 1.4*10^2 Hz and an amplitude of 0.11 angstrom (1.1*10^-11m).
Find the maximum acceleration of the atom.
Compare it with the acceleration of gravity.
Find the maximum acceleration of the atom.
Compare it with the acceleration of gravity.

Explanation / Answer

Maximum acceleration,

a = A 2

Find angular frequency

= 2 f = 2 ( 1.4 x102 Hz ) = 8.796 x 102 rad /s

Substitute given values in    a = A 2

   a = ( 1.1 x 10 -11m )  ( 8.796 x 102 rad /s )2

   = 8.5 x 10-6 m

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