Question #127064

In an electric shaver, the blade moves back and forth over a distance of 2.0mm in simple harmonic
motion, with a frequency 120Hz. Find (a) the amplitude, (b) the maximum blade speed and (c) the
magnitude of the maximum acceleration of blade.

Expert's answer

(a) A=L/2=2/2=1mmA=L/2=2/2=1mm


(b) v=ωA=2πfA=23.141200.001=0.75m/sv=\omega A=2\pi fA=2\cdot3.14\cdot120\cdot0.001=0.75m/s


(c) a=ω2A=(2πf)2A=(23.14120)20.001=568m/s2a=\omega^2A=(2\pi f)^2A=(2\cdot3.14\cdot 120)^2\cdot 0.001=568m/s^2


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