Respuesta :
Simple harmonic motion can be used to simulate the motion of a nightingale's wingtips. Maximum wingtip speed is 0.614 m/s, and maximum wingtip acceleration is 4.289 m/s2.
SHM IS an equation represented by
x = A Sin (wt +Ф)
V = dx/dt=A W cos (wt +Ф)
a = d²x/dt²= -Aw² sin(wt+Ф)
a) Maximum velocity = Aw
V = A W
V= A (2π/T)
= 8.8×10⁻² x 2π/0.9
V= 0.614 m/s m/s
b) Maximum acceleration:
a = A w²
= A (2π/T)²
= 8.8x10² (2π/0.9)² m/s² =
a = 4.289 m/s²
Simple harmonic motion, also known as SHM, is a particular type of periodic motion of a body that arises from a dynamic equilibrium between an inertial force that is proportional to the body's acceleration away from the static equilibrium position and a restoring force on the moving object that is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position. If friction or any other form of energy loss is absent, it leads to an oscillation that may be represented by a sinusoid and that lasts indefinitely.
The oscillation of a mass on a spring when it is subject to linear elastic restoring is a good example of simple harmonic motion, which may be used as a mathematical model for many different motions.
Learn more about Simple harmonic motion here:
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