To develop this problem it is necessary to use the equations of description of the simple harmonic movement in which the acceleration and angular velocity are expressed as a function of the Amplitude.
Our values are given as
[tex]f = 4.11 *10^{12} Hz[/tex]
[tex]A = 1.23 * 10^{-11}m[/tex]
The angular velocity of a body can be described as a function of frequency as
[tex]\omega = 2\pi f[/tex]
[tex]\omega = 2\pi 4.11 *10^{12}[/tex]
[tex]\omega=2.582*10^{13} rad/s[/tex]
PART A) The expression for the maximum angular velocity is given by the amplitude so that
[tex]V = A\omega[/tex]
[tex]V =( 1.23 * 10^{-11})(2.582*10^{13})[/tex]
[tex]V = = 317.586m/s[/tex]
PART B) The maximum acceleration on your part would be given by the expression
[tex]a = A \omega^2[/tex]
[tex]a =( 1.23 * 10^{-11})(2.582*10^{13})^2[/tex]
[tex]a= 8.2*10^{15}m/s^2[/tex]
