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

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Homework Help Overview

The discussion revolves around comparing the angular velocity of a ferris wheel, specifically one with a diameter of 18m, expressed in radians per second, to its linear speed in meters per second.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between angular velocity and linear speed, with some attempting to calculate the linear speed using the ferris wheel's dimensions and revolution time.

Discussion Status

There are multiple calculations and attempts to derive the linear speed from the angular velocity, with some participants providing guidance on the relationship between circumference and time for revolution. The discussion includes varying interpretations of the calculations involved.

Contextual Notes

Participants mention the time taken for one complete revolution, which is noted as 0.8 minutes, and there is an ongoing exploration of how this impacts the speed calculation.

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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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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.
 
it takes 0.8mins to make one revolution
 
Right, so what do you get for speed in m/sec?
 
RUber said:
Right, so what do you get for speed in m/sec?
would that be 1.178m/s?

because 2pi(9m)/48s
 
Looks good.
 

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