Simple Harmonic Motion of a body

AI Thread Summary
The discussion focuses on calculating the speed of a body in simple harmonic motion with an amplitude of 0.50 m and a period of 4π seconds when the displacement is 0.30 m. The equation x = A cos(2πft) is proposed for displacement, with the frequency calculated as f = 1/(4π). The user attempts to substitute the values into the equation but concludes that differentiation is necessary to find the velocity function. The expected speed at the given displacement is determined to be 0.20 m/s. Understanding the relationship between displacement and velocity in simple harmonic motion is crucial for solving such problems.
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Homework Statement



A body is in simple harmonic motion of amplitude 0.50m and period 4pie seconds. What is the speed of the body when the displacement of the body is 0.30 m?



Homework Equations



Would it be x=Acos2(pie)ft ?

The Attempt at a Solution



I tried substituing in x= 0.30 and A=0.50 and f= (1/ 4pie)

The answer should be 0.20 ms^-1
 
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if the equation you gave was for displacement, then you will need to differentiate it to find the function of velocity.
 

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