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Andrew [12]
4 years ago
7

A cork floating in a lake is bobbing in simple harmonic motion. Its displacement above the bottom of the lake is modeled by푦=0.2

cos20휋푡+8where 푦is measured in meters and 푡is measured in minutes.a) Find the frequency of the motion of the cork. ____________b) Find the maximum displacement of the cork above the lake bottom. ____________
Physics
1 answer:
Diano4ka-milaya [45]4 years ago
4 0

Explanation:

The displacement pf the bob is modeled by the following equation as :

y=0.2\ cos20\pi t+0.8..............(1)

The general equation of simple harmonic motion is given by :

y=A\ cos\ \omega t+\phi...........(2)

On comparing equation (1) and (2) we get :

(a) \omega=20\pi

\omega=20\pi        

2\pi f=20\pi

f is the frequency of the motion of the cork.

f=10\ Hz

(b) In the equation (1), the displacement of the cork is 0.2. So, the maximum displacement of the cork above the lake bottom is 0.2 + 8 = 8.2 meters

Hence, this is the required solution.

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