the acceleration is maximum at the peak position and kinetic energy is connected with the mean position.
the object which is performing a simple harmonic motion because the acceleration is directly proportional to displacement that the direction is opposite side the formula is given by
F= -K X
K is the spring constant
because the amplitude means the maximum displacement
the maximum velocity means that the that is proportional to the angular frequency and the relation is given by
V=rW
V is the velocity
r is the radius
W is the angular frequency that the SI unit is rad/s.
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If an object undergoing simple harmonic motion with amplitude 2.3 m and velocity 15 m/s maximum, then its angular frequency is 6.52 rad/s.
Missing data from the question:
- the amplitude is 2.3 m
- the maximum velocity of the object is 15 m/s
The equation for the velocity of a simple harmonic motion is given by:
v = A. ω. cos(ωt)
Where:
ω = angular frequency
A = amplitude
Parameters given:
A = 2.3 m
v = 15 m/s
Let's take t = 0, hence,
v = A. ω. cos(0) = A . ω
15 = 2.3 ω
ω = 15/2.3 = 6.52 rad/s
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