SOLUTION: A Ferris wheel of diameter 40m has its centre 21m above the ground. The wheel rotates once every 30s. (Draw a graph to show a rider's height above the ground during a 1 min ride if
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Question 188997: A Ferris wheel of diameter 40m has its centre 21m above the ground. The wheel rotates once every 30s. (Draw a graph to show a rider's height above the ground during a 1 min ride if possible please) Or else could you write the equation for the graph.
Please help! Thanks!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If one revolution takes 30 seconds, then the wheel is moving at
radians per second.
If the diameter of the wheel is 40 meters, then its radius is 20 meters and a point on the outside of the wheel is changing height at a rate of
)
meters per second relative to the centre of the circle, so the height function with respect to time is:
 = 21 - 20 \cos\left(\frac {2 \pi}{30}t\right))
John
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