Lucy M.

asked • 04/21/18# Find the angular velocity of the system after 12 seconds

The angular acceleration of a system is described by the following equation: a(t)=d^2Radians/dt^2=10cos (5t).

Find the angular velocity of the system in radians after 14 seconds

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## 1 Expert Answer

Arturo O. answered • 04/22/18

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You can integrate α(t) to get ω(t), but there will be an undetermined constant, unless an initial condition is specified, as I stated in my Comment.

ω(t) = ∫α(t)dt = ∫10cos(5t)dt = 2sin(5t) + c

_{1}More information is needed to find the value of the constant c

_{1}, such as ω(0) or at some other time. After you determine c_{1},_{ }evaluate ω(t) at t = 12 and 14 seconds.Arturo O.

By the way, the correct units for angular velocity are radians/second, not just radians.

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04/22/18

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Arturo O.

04/21/18