A particle in simple harmonic motion has an angular frequency of 24 rad/s. Its maximum velocity is 25 m/s. What is its maximum acceleration?
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A particle in simple harmonic motion has an angular frequency of 24 rad/s. Its maximum velocity is 25 m/s. What is its maximum acceleration?
The basic equation of motion for harmonic motion is:
You have been given the value for. Now take the derivative of this to find the particle's velocity:
You have been given the max value of its velocity, so you can now determine the value for A.
The equation for acceleration is the derivative of the velocity equation - you can do the math and determine its maximum value. Post back with what you get and we'll check it for you.
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