A 2.00-kg object attached to a spring moves without friction (b=0) and is driven by an external force given by the expression F = 3.00 sin(2πt), where F is in newtons and t is in seconds. The force constant of the spring is 20.0N/m . Find (b) the angular frequency of the driven system.

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02-09-2022
Physics

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A 2.00-kg object attached to a spring moves without friction (b=0) and is driven by an external force given by the expression F = 3.00 sin(2πt), where F is in newtons and t is in seconds. The force constant of the spring is 20.0N/m . Find (b) the angular frequency of the driven system.

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Smecloudbird18idn Smecloudbird18idn · Answer 1 · 2022-09-12T05:20:00-04:00

The angular frequency of the driven system is given as ω =6.28s−1

Angular frequency (ω), can be defined as radial or circular frequency, measures angular displacement per unit time. The unit of angular frequency can be given rad s−1 i.e. radian/second.

The formula is written as,

ω = 2π/T rad s−1

ω = 2×3.14 s−1

ω =6.28s−1

Angular displacement is can be defined as, the shortest angle between the initial and the final points for a given object in circular motion about a fixed point. Angular displacement is the angle measured in radians.

To know more about circular motion,

https://en.wikipedia.org

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