Question

A body of mass 1kg is made to oscilate on a spring of force constant 16 n/m calculate angular frequency

Answer 1

Given
mass(m) = 1kg
force constant (k) = 16n/m
Angular frequency (
$w = \sqrt{m \div k} \\ w = \sqrt{16 \div 1} \\ w = 4 \: rad \: per \: second$

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Answer 2

$\huge\mathrm{\boxed{\underline{\pink{Explanation:}}}}$

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Given that:-

• A body of mass 1kg is made to oscilate on a spring

• Constant force = 16n/m

To calculate:-

• Angular frequency

$\sf a) \: Angular \:Velocity = \dfrac{\sqrt{K}}{M}\\\\\sf \dfrac{ \sqrt{6} }{1} \:rad/sec\\\\\sf 4 \:rad/sec. \\\\\\\sf b) \:Frequency = \dfrac{\omega}{2\pi}\\\\\sf\omega = 4 \:(from \:part \:a)\\\\\sf Frequency = \dfrac{4}{2\pi}\\\\\sf \qquad \qquad \: \:= \dfrac{2}{\pi}\:Hz$