Answer to Question #94849 in Trigonometry for may

Question #94849
A mass suspended on a spring will exhibit sinusoidal motion when it moves. If the mass on a spring is 85 cm off the ground at its highest position and 41 cm off the ground at its lowest position and takes 3.0 s to go from the top to the bottom and back again, determine an equation to model the data.
1
Expert's answer
2019-09-20T11:13:25-0400

AA - amplitude - the maximum displacement from the state of equilibrium:


A=0.850.412=0.22 m.A=\frac{0.85-0.41}{2}=0.22\text{ m}.

ω\omega - angular frequency:


ω=2πT=23.143=2.09 s1.\omega=\frac{2\pi}{T}=\frac{2\cdot3.14}{3}=2.09\text{ s}^{-1}.

The equation of sinusoidal oscillations:


x(t)=A sin(ωt)=0.22 sin(2.09t) m.x(t)=A\space\text{sin}(\omega t)=0.22\space\text{sin}(2.09t)\text{ m}.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment