Finding the phase constant for simple harmonic motion

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SUMMARY

The discussion focuses on calculating the speed of a hydraulic valve component undergoing sinusoidal vibrations at a specific time, t=0.015s. The frequency is given as 25Hz, leading to an angular frequency (ω) of 157 s-1. The equation used is vx(t) = Aw sin(ωt + φ + π/2), where A is the amplitude of 2cm. The main challenge identified is the inability to determine the phase constant (φ) due to insufficient information provided in the problem statement.

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  • Understanding of sinusoidal motion and its equations
  • Familiarity with angular frequency and its calculation
  • Knowledge of phase constants in harmonic motion
  • Basic trigonometry for evaluating sine functions
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Bugsy23
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Homework Statement


I need to find the speed, at time t=0.015s, of a hydraulic valve component undergoing sinusoidal vibrations. The frequency of the vibrations is 25Hz, the amplitude is 2cm and the angular frequency is 157 s-1


Homework Equations


The equation for speed of sinusoidal vibrations I have is
vx(t)=Aw sin(wt+[tex]\phi[/tex]+pi/2)

The Attempt at a Solution


So far the values I have are
vx(t)=(0.02*157)*sin(157*0.015)+?+pi/2)
But I can't find anywhere how you're supposed to calculate the phase constant
 
Physics news on Phys.org
There's not enough information to solve the problem. Did you state the problem exactly as it was worded?
 

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