A body oscillates with simple harmonic motion along thex-axis. Its displacement

Question

A body oscillates with simple harmonic motion along thex-axis. Its displacement varies with time according to the equationx = 6.0 sin ( /2 t). The acceleration in (m/s2) ofthe body at t = 7.0 s is approximately ___. A.) 18 B.) 8.9 C.) 5.9 D.) 15 E.) 27 A body oscillates with simple harmonic motion along thex-axis. Its displacement varies with time according to the equationx = 6.0 sin ( /2 t). The acceleration in (m/s2) ofthe body at t = 7.0 s is approximately ___. A.) 18 B.) 8.9 C.) 5.9 D.) 15 E.) 27

Explanation / Answer

      Given that the displacement of thewave is x = 6.0 sin ( /2) t           The velocity of the wave is v = dx/dt          = 3cos(/2)t        acceleration of the wave is a= -( 32 /2 )sin(/2)t        at t = 7.0s the acceleration is a= 14.80 m/s2

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