Spiders are more sensitive to oscillations at higher frequencies. For example, a

Question

Spiders are more sensitive to oscillations at higher frequencies. For example, a low-frequency oscillation at 1 Hz can be detected for amplitudes down to 0.1 mm, but a high-frequency oscillation at 1 kHz can be detected for amplitudes as small as 0.1 m. For these low- and high-frequency oscillations, we can say that:

a.The maximum acceleration of the low-frequency oscillation is greater.

b.The maximum accelerations of the two oscillations are approximately equal.

c.The maximum acceleration of the high-frequency oscillation is greater.

Explanation / Answer

formula for maximum accleration for low frequency is

a_max = w^2 A = ( 2pi f_min)^2 A = ( 2pi (1))^2 ( 0.1 * 10^-3) = 3.94 * 10^-3 m/s^2

for high frequency

a_max = w^2 A = ( 2pi f_max)^2 A = ( 2pi (1000))^2 ( 0.1 * 10^-6) = 3943.84 * 10^-3 m/s^2

so The maximum acceleration of the high-frequency oscillation is greater.

option (C) is correct answer

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