A neighborhood carnival has a Ferris Wheel whose radius is 30 feet. You measure the time it takes for one revolution to be 70 seconds. What is the speed of this Ferris Wheel?
2007-07-10 23:15:33 · 6 answers · asked by Sharkman 1 in Science & Mathematics ➔ Mathematics
Radius is 30 feet, so circumference = 2*pi*r = 188.5 ft approx
Speed = 188.5 ft in 70 secs.
or about 2.69 feet per second
convert into miles per hour : 2.69 * 3600 / 5280
about 1.83 mph
Metric is easier, I mean 5280 feet in a mile is just plain daft.
2007-07-10 23:24:16 · answer #1 · answered by Nick J 4 · 0⤊ 0⤋
Angular velocity in radians per second:
2pi/70
Speed of a point on the circumference in feet per second:
60pi/70
2007-07-10 23:26:58 · answer #2 · answered by jsardi56 7 · 0⤊ 0⤋
The speed is 6/7 RPM.
2007-07-10 23:32:11 · answer #3 · answered by Anonymous · 0⤊ 0⤋
i assume you mean the distance the outer part travels
30ft*2*pi=188.5ft (circumference)
so it travels 188.5ft every 70 seconds
or 161.6ft every minute
so 9696ft per hour
one mile is 5280ft
speed in mph = 1.84mph
2007-07-10 23:26:14 · answer #4 · answered by Jay 4 · 0⤊ 0⤋
30*2*Ï / 70sec = approx. 2,69 feet per sec
2007-07-10 23:24:33 · answer #5 · answered by Ferrero 1 · 0⤊ 0⤋
5.14mph.....lemme double check
2007-07-10 23:22:47 · answer #6 · answered by Healthy Guy 3 · 0⤊ 0⤋