Aloudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 450 hz and a maximum displacement of 0.690 mm. what are the (a) angular frequency, (b) maximum speed, and (c) magnitude of the maximum acceleration

The angular frequency, maximum speed and maximum acceleration are 2826 rad/s, 1.95 m/s and 5510.53 m/s².

Explanation:

Given that,

Frequency = 450 Hz

Amplitude = 0.690 mm

(I). We need to calculate the angular frequency

Using formula of angular frequency

Put the value into the formula

(II). We need to calculate the maximum speed

Using formula of the maximum speed

Where, A = amplitude

Put the value into the formula

(III). We need to calculate the magnitude of the maximum acceleration

Using formula of the maximum acceleration

Put the value into the formula

Hence, The angular frequency, maximum speed and maximum acceleration are 2826 rad/s, 1.95 m/s and 5510.53 m/s².

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