an object moves with constant speed of 2 m/s in circular motion with a radius of 5 meters. what is the angular velocity of this object?

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15-12-2022
Physics

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an object moves with constant speed of 2 m/s in circular motion with a radius of 5 meters. what is the angular velocity of this object?

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contexto1005 contexto1005 · Answer 1 · 2022-12-25T03:26:58-05:00

An object moving in a circular motion with a constant speed of 2 m/s and a radius of 5 meters can be said to have an angular velocity, the object's angular velocity is 0.4 radians per second.

Angular velocity is the rate of change of the angular displacement of an object with respect to time. It can be calculated using the equation:

ω= v / r

where ω is the angular velocity, v is the linear speed, and r is the radius of the circle.

In this case, the linear speed of the object is 2 m/s and the radius is 5 meters. Substituting these values into the equation above, we get:

ω = 2 m/s / 5 meters

This gives us an angular velocity of 0.4 radians per second.

This means that the object is completing 0.4 revolutions per second and that it takes 1.5 seconds to complete one full revolution. It also means that it takes 6 seconds to complete a full circle.

Therefore, the object's angular velocity is 0.4 radians per second.

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