Question 163: Oscillations

Question

The maximum velocity of a particle, executing simple harmonic motion with an amplitude $$7$$ $$mm,$$ is $$4.4$$ $$m/s.$$ The period of oscillation is

Accepted Answer

Maximum velocity,
$${v_{\max }} = a\omega ,\,\,\,\,\,{v_{\max }} = a 	imes {{2\pi } \over T}$$
$$ \Rightarrow T = {{2\pi a} \over {{v_{\max }}}} = {{2 	imes 3.14 	imes 7 	imes {{10}^{ - 3}}} \over {4.4}} \approx 0.01\,s$$

Answer

$$0.01$$ $$s$$

Answer

$$10$$ $$s$$

Answer

$$0.1$$ $$s$$

Answer

$$100$$ $$s$$

Oscillations

The maximum velocity of a particle, executing simple harmonic motion with an amplitude $7 mm, is 4.4 m/s.$ The period of oscillation is

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