Tangential Speed of Passenger on 10m Radius Ferris Wheel

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To find the tangential speed of a passenger on a Ferris wheel with a radius of 10 meters that completes one rotation every 30 seconds, the formula for tangential speed is used: tangential speed = rotational speed x radial distance. The circumference of the Ferris wheel is calculated to be approximately 62.83 meters. Given that the wheel rotates at 2 RPM, the total distance traveled in one minute is 125 meters. The angular velocity can be derived from this information, which is essential for calculating the tangential velocity. Ultimately, the discussion highlights the importance of understanding the relationship between rotational speed and tangential speed in circular motion.
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Homework Statement


I thought this would be an easy question for me, but I can't figure it out.
"What is the tangential speed of a passenger on a Ferris wheel that has a radius of 10 meters and rotates once every 30 seconds?"

Homework Equations



Tangential speed = rotational speed x radial distance


The Attempt at a Solution



Tangential speed = 2RMP x 10 meters
= 20...what units? Not m/sec, not RPM...
...But...
I figured the circumference is 62.83 meters x 2RPM = 125 meters per minute
 
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With the information that it's 2RPM, you can very easily find the angluar velocity, ω. I'd use that as a starting point to finding the tangential velocity.
 
That doesn't help...
thanks though
 

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