Aferris wheel of radius 100 feet is rotating at a constant angular speed ï rad/sec counterclockwise. using a stopwatch, the rider finds it takes 5 seconds to go from the lowest point on the ride to a point q, which is level with the top of a 44 ft pole. assume the lowest point of the ride is 3 feet above ground level.

Angular speed is  0.188 rad/s ,

Tangential speed is 18.8 ft/s ,

Time for one revolution is 33.4 s.

Given :

Ferris wheel of radius 100 ft.

The lowest point of the ride is 3 feet above ground level.

Solution :

Refer the attached diagram for better understanding.

From the diagram we know that,

y = 59 ft

Now applying pythagorean theorem,

Now to calculate angle ,

Now the arc length pq is given by,

Now the angular velocity is given by,

Now the tangential velocity is given by,

Now the time for a single revolution is given by,

.

Therefore, angular speed is  0.188 rad/sec , tangential speed is 18.8 ft/s ec and time for one revolution is 33.4 sec.

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