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  • A particle executes simple harmonic motion with an amplitude of 10 cm and frequency of 50 Hz. What is the angular frequency of the particle?Option: 1</

A particle executes simple harmonic motion with an amplitude of 10 cm and frequency of 50 Hz. What is the angular frequency of the particle?

Option: 1

100π rad/s


Option: 2

50π rad/s


Option: 3

25π rad/s

 


Option: 4

10π rad/s


Answers (1)

best_answer

The mathematical expression for angular frequency is:

\omega=2 \pi f

where \omega is the angular frequency, and f is the frequency of the motion.

Given, amplitude = 10 cm and frequency = 50 Hz.

Using the formula, we can calculate the angular frequency \omega as:

\begin{align*} \omega &= 2\pi f\ &= 2\pi \times 50 \text{ Hz}\ &= 100\pi \text{ rad/s} \end{align*}

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Gaurav

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