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What is the speed of the hamster running in a wheel with a radius of 10 cm?

1) 15.9 cm/s
2) 31.4 cm/s
3) 47.1 cm/s
4) 62.8 cm/s

Answer :

Final answer:

The question seems to require the calculation of the hamster's linear speed on a wheel. However, given that information in the question itself is not sufficient for an exact calculation, principles of angular velocity and linear speed in circular motion were explained as they relate to similar scenarios.

Explanation:

The question is asking for the speed of a hamster running in a wheel, but the given information and multiple-choice answers do not directly correspond to this scenario. Instead, similar principles apply to understanding circular motion and angular velocity, which are relevant to questions regarding the movement of an object in a circular path, such as a hamster in a wheel or the rotation of a car tire. To calculate speed in a circular path, you would use the formula v = r × ω, where v is the linear speed, r is the radius, and ω is the angular velocity in radians per second.

For instance, when calculating the angular speed of a car tire, you would first have to convert the linear speed of the car to angular speed using the tire's radius. If the car travels at 15.0 m/s and the tire radius is 0.300 m, the angular speed ω would be found using ω = v / r which would be ω = 15.0 m/s / 0.300 m, resulting in ω = 50 rad/s. The same principle applies to calculating the linear speed of an object in circular motion where the radius and angular velocity are known.

Learn more about Circular Motion here:

https://brainly.com/question/2285236

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Rewritten by : Jeany