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The crystal in a digital watch oscillates at a rate of 215 Hz. If the maximum displacement of one crystal face (measured from one extreme of its motion to the other) is 50 nm, what is the maximum speed of the face?

Respuesta :

onyebuchinnaji

The maximum speed of the face is determined as 6.75 x 10⁻⁵ m/s.

Maximum speed of the face

v = fλ

where;

  • f is frequency of the wave
  • λ is the wavelength

Angular speed of the wave

ω = 2πf

v(max) = ωA

v(max) = 2πfA

where;

  • A is amplitude of the wave

v(max)  = 2π(215)(50 x 10⁻⁹ m)

v(max) = 6.75 x 10⁻⁵ m/s

Thus, the maximum speed of the face is determined as 6.75 x 10⁻⁵ m/s.

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