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A hamster runs around in a stationary
wheel with radius 10cm as shown in the
picture. At a certain point (lets say
t=0),the hamster collapses from
exhaustion and begins to spin around in
the the wheel at constant angular
frequency ⍵ making one full rotation in 1
second. You watch the hamster spin from
below the wheel and from this view, the
hamster is in simple harmonic motion
and can be modeled using a sine
function. !
!
a) Find a function to represent the hamsters simple harmonic motion that
includes amplitude (A), angular frequency (⍵), phase constant ( ), and
time (t).!
b) Find the equation for velocity and acceleration of the simple harmonic
motion of the hamster.!
c) Sketch a graph of each of these functions.!
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Physics101 lo1

Physics101 lo1

  • 1.
    ! A hamster runsaround in a stationary wheel with radius 10cm as shown in the picture. At a certain point (lets say t=0),the hamster collapses from exhaustion and begins to spin around in the the wheel at constant angular frequency ⍵ making one full rotation in 1 second. You watch the hamster spin from below the wheel and from this view, the hamster is in simple harmonic motion and can be modeled using a sine function. ! ! a) Find a function to represent the hamsters simple harmonic motion that includes amplitude (A), angular frequency (⍵), phase constant ( ), and time (t).! b) Find the equation for velocity and acceleration of the simple harmonic motion of the hamster.! c) Sketch a graph of each of these functions.! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !