Answer:
a. The radius of the navy pier wheel is 56% of the radius of the first ferris wheel
b. The radius of the first ferris wheel was 179% of the radius of the navy pier ferris wheel
c. The wheel was moving at 0.70 [tex]\frac{rad}{min}[/tex]
Step-by-step explanation:
Navy pier wheel circumference = Cn
First ferris wheel circumference = Cf
Cn = 0.56*Cf
a.
Circumference Perimeter = 2*π*Radius
Navy pier wheel radius = Rn
First ferris wheel radius = Rf
Cn = 0.56*Cf
2*π*Rn = 0,56*2*π*Rf (equation 1)
dividing both sides by 2π
Rn = 0,56*Rf
b.
From equation 1
2*π*Rn = 0,56*2*π*Rf
dividing both sides by 2π
Rn = 0.56*Rf
dividing both sides by 0.56
Rf = [tex]\frac{1}{0.56}[/tex]*Rn
Rf = 1.79*Rn
c.
9 minutes / revolution
1 revolution = 2π radians
The wheel makes 2π radians in 9 minutes
Wheel velocity = [tex]\frac{2\pi }{9} \frac{rad}{min}[/tex]
Wheel velocity = 0.70 [tex]\frac{rad}{min}[/tex]
