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January 29, 2015

January 29, 2015

Posted by **-** on Friday, November 6, 2009 at 8:21pm.

a) Determine the exact angle, in radians, that a passenger will travel in 5 min.

b) How far does a passenger travel in 5 min.?

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?

- math -
**Reiny**, Friday, November 6, 2009 at 8:44pmSince you state that the wheel takes

**about**half an hour to complete one rotation, how can you expect an**exact**angle in a)

a) in 30 min it rotates 2pi radians

in 1 min it rotates 2pi/30 radians

in 5 min it rotates 5(2pi/30) or pi/3 radians

b) find the circumference (C) of the wheel, that will tell you how far a person travels in one rotation.

Now, what fraction of 30 minutes is 5 minutes ?

c) set up a ration:

C/(2pi) = x/2 , solve for x

d) it moves at 2pi radians every 30 min

= 2pi/30 rad/min

= 2pi/(30*60) rad/sec

= pi/900 radians/sec

e) same thing, use 360º instead of 2pi

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