How does the angular velocity of a ferris wheel in radians/s compare to m/s?

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In summary, the angular velocity of a ferris wheel with a diameter of 18m is pi/24 radians/s. To compare this to m/s, we use the equation v=(2pi(r))/360 and get a speed of 0.157m/s. It takes 0.8 minutes to make one revolution, which gives us a final speed of 1.178m/s.
  • #1
xcortz
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Homework Statement


The angular velocity of the ferris wheel with a diameter of 18m is pi/24 radians/s. How would that compare to m/s?

Homework Equations


v=(2pi(r))/360

The Attempt at a Solution


2pi(9)/360
=0.157m/s
 
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  • #2
You know the circumference and you should know how find how long it will take to make one revolution.
Circumference (m)/ time for revolution (sec)= speed m/sec.
 
  • #3
it takes 0.8mins to make one revolution
 
  • #4
Right, so what do you get for speed in m/sec?
 
  • #5
RUber said:
Right, so what do you get for speed in m/sec?
would that be 1.178m/s?

because 2pi(9m)/48s
 
  • #6
Looks good.
 

Related to How does the angular velocity of a ferris wheel in radians/s compare to m/s?

What is the formula for converting radius/s to m/s?

The formula for converting radius/s to m/s is m/s = (radius/s) x (2 x π).

What is the unit of measurement for radius/s and m/s?

The unit of measurement for radius/s is seconds (s) and the unit of measurement for m/s is meters per second (m/s).

Can you provide an example of converting radius/s to m/s?

Let's say we have a radius/s value of 5. Using the formula, we can calculate m/s by multiplying 5 by 2 x π, which equals approximately 31.42 m/s.

Why do we need to convert radius/s to m/s?

Converting radius/s to m/s allows us to measure the speed of an object in terms of distance traveled per unit of time, which is a more commonly used unit of measurement in science and everyday life.

Is there a difference between converting radius/s to m/s and converting circumference/s to m/s?

Yes, there is a difference. Radius is the distance from the center of a circle to its edge, while circumference is the distance around the edge of a circle. Converting radius/s to m/s involves multiplying by 2 x π, while converting circumference/s to m/s involves multiplying by π.

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