1) Find the maximum magnitude of the acceleration. 2) Find the maximum magnitude

Question

1) Find the maximum magnitude of the acceleration.

2) Find the maximum magnitude of the velocity.

3)Find the acceleration when the pom-pom's coordinate is

A cheerleader waves her pom-pom in SHM with an amplitude of 17.9 cm and a frequency of 0.825 Hz . 1) Find the maximum magnitude of the acceleration. 2) Find the maximum magnitude of the velocity. 3)Find the acceleration when the pom-pom's coordinate is x= 9.00 cm . WHICH I FOUND TO BE = -2.42 m/s/s 4)Find the speed when the pom-pom's coordinate is x= 9.00 cm . 5)Find the time required to move from the equilibrium position directly to a point a distance 11.6 cm away. Anything will help, thank you.

Explanation / Answer

   amplitude A = 17.9 cm frequency f = 0.825 Hz the angulat speed = 2*f                                     = 5.18 rad/s (1) the max acceleration = A^2                                              = 4.81 m/s^2 (2) the max velocity    = A                                          = 0.927 m/s (3) the acceleration a = ^2 (A^2- x^2)^1/2                                         = 41.51  m/s^2 (4) the speed V = (A^2- x^2)^1/2                              = 8.01 m/s the time requared to move , t = 2(displace/ acceleratiom)^1/2        

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