Answer: a. 70 ft
b. 125 ft
c. 87.2 ft/sec
Step-by-step explanation:
Here is the complete question:
If the navy pier ferris wheel in chicago has a circumference that is 56% of the circunference of the first ferris wheel built in 1893.
a. What is the radius of the navy pier wheel?
b. what was the radius of the first ferris wheel?
c. The first ferri wheel took nine minutes to make a complete revolution. how fast was the wheel moving?
C=439.6 ft.
a. What is the radius of the navy pier wheel?
Since circumference = 2πr
where π = 3.142
r = radius
Therefore, 2πr = 439.6
(2×3.142×r) = 439.6
6.284r = 439.6
Radius = 439.6/6.284
Radius = 69.9 = 70 feet
b. What was the radius of the first ferris wheel?
Since the Navy Pier Ferris Wheel in Chicago has a circumference that is 56% of the circumference of the first Ferris wheel. This can be mathematically written as:
56% of f = 439.6
0.56f = 439.6
f = 439.6/0.56
f = 785
The circumference of the first wheel is 785ft
Radius will now be:
2πr = 785
r = 785/2π
r = 785/(2×3.142)
r = 785/6.284
r = 124.9 = 125ft
c. The first ferri wheel took nine minutes to make a complete revolution. how fast was the wheel moving?
= 785/9
= 87.2 ft/sec