math (trigonometry)
posted by Laura .
A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question.
c) Determine the angular velocity of the Ferris wheel in radians/second
d)How far (in meters) has the Ferris wheel travelled after 6 min?
Thank you, any help is really appreciated!

math (trigonometry) 
John
d) With a d=100 we know that the distance the wheel travels C=pi(d) so
c=3.14159(100m)
c=approx 314m to go around the ferris wheel once.
But you can go twice 314(2) in 10 min
so...
setting up a proportion
distance/time = distance/time
618m/10min = x/6 min
and solve for x 
math (trigonometry) 
Steve
two turns every 10 minutes means
2rev/10min * 2πrad/rev * 1min/60s = 4π/600 rad/s 
math (trigonometry) 
Laura
Thank you both so much!
Respond to this Question
Similar Questions

trig question
A Ferris wheel has a deameter of 50m. The platform at the bottom, where you load the ferris wheel, is 3 m above the ground. The Ferris wheel rotates three times every two minutes. A stopwatch is started and you notice you are even … 
math
A ferris wheel is 35 meters in diameter,and can be boarded at ground level. The wheel turns in a counterclokcwise direction, completing one full revolution every 5 minutes. Suppose that a t=0 you are in the three o'clock position. … 
Trigonometry
A carnival Ferris wheel with a radius of 7 m makes one complete revolution every 16 seconds. The bottom of the wheel is 1.5 m above the ground. The ride starts at the bottom. Find the sinusoidal function that models this Ferris wheel … 
Math
The rim of the London Eye (a 135m diameter ferris wheel) moves 26 cm/sec, slow enough for passengers to safely get on the wheel from the platform (2 meters above ground level) without stopping the wheel at the bottom of its rotation. … 
Math
A ferris wheel is 30 meters in diameter and boarded in the six o'clock position from a platform that is 10 meters above the ground. The wheel completes one full revolution every 10 minutes. At the initial time t=0 you are in the twelve … 
trig
ferris wheel one has a 40ft diameter, revolves once every 30 seconds and is 5ft above ground. Ferris wheel two has a diameter of 20feet, revolves once every 15seconds and is 2 feet above the ground. each angular velocity? 
PreCal
A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 7 … 
PreCal
A Ferris wheel is 50 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 9 … 
trigonometry
a ferris wheel is 50 meters in diameter with the bottom of the wheel 1 meter off the ground it makes a full revolution in 12 minutes. What function would track the height above the ground for a point that is at the bottom of the wheel … 
math trig
A Ferris wheel with a diameter of 37 meters rotates at a rate of 4 minutes per revolution. Riders board the Ferris wheel 4 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts. Write …