A construction crew has just finished building a road. The crew worked for 4 4/9 days. If they built 2 1/5 kilometers of road ea
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The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
Reasons:
The general form of the equation of the simple harmonic motion of the
mass is <em>d</em> = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation
Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds
Combining the above values gives the modelling equation as follows;
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The approximation of the circumference of the ride is 138 feet to the nearest foot
<h3>How to determine the circumference?</h3>The given parameters are:
- Center (a,b) = (0,0) i.e. the origin
- A circular ring, (x,y) = (16,15.1)
The radius is calculated using:
So, we have:
Evaluate
r = √484.01
Evaluate the square root
r = 22.0
The circumference is calculated using
C = 2πr
So, we have:
C = 2π * 22.0
Evaluate
C = 138
Hence, the approximation of the circumference of the ride to the nearest foot is 138 feet
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