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15 May, 10:02

The blade of an electric shaver vibrates in a simple harmonic motion with a frequency 235.0 Hz over a distance 6.6 mm. What is the amplitude of vibration?

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  1. 15 May, 10:27
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    3.3 mm

    Explanation:

    The electric shaver is vibrating back and forward covering a distance of 2 mm, therefore, the amplitude of this vibration is always the half of the distance.

    So the expression to use is:

    A = D/2

    A = 6.6 / 2 = 3.3 mm

    Now, suppose you want the speed of this vibration:

    V = 2πfA

    V = 2π * 235 * 0.0033

    V = 4.87 m/s
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