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mathvictim · Nov 2, 2011, 02:04 PM

The London Eye is a large Ferris Wheel located in London. Each passenger capsule holds 25 passengers. The diameter of the wheel is 135 metres and the wheel takes 30 minutes to complete one revolution

a) Determine the exact angle in radians that a passenger will travel in 5 minutes?
b) How far does a passenger travel in 5 minutes?
c) How long would it take a passenger to travel 2 radians?
d)What is the angular velocity of a passenger in radians per second?
e) What is the angular velocity of a passenger in degrees per second?

ebaines · Nov 2, 2011, 02:33 PM

To get started: you have been told that the wheel takes 30 mionutes to male one revolution. Since one revolution = $2 \pi$ radians, that means its angular velocity is:

$<br /> \frac {2 \pi \ radians}{30 \ min}<br />$

You can change this angular velocity to appropriate units as needed to get answers to parts (d) and (e). For parts (a) and (c) - just remember that distance = rate times time. You know the rate already, so you should get these now. Finally for part (b) - the linear distance an object moves around a circle is equal to its angular distance (in radians) times the radius of the circle.

Hope this helps. Post back with your answers and we'll check them for you.