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Uniform circular motion is used in physics to describe the motion of an object traveling at a constant speed in a circle. The speed of the object is called tangential velocity and it can be calculated using the formula above, where r is the radius of the circle and T is the time is takes for the object to make one complete circle, called a period. Which of the following formulas could be used to find the length of one period if you know the tangential velocity and the radius of the circle?

Uniform circular motion is used in physics to describe the motion of an object traveling at a constant speed in a circle The speed of the object is called tange class=
Uniform circular motion is used in physics to describe the motion of an object traveling at a constant speed in a circle The speed of the object is called tange class=

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sqdancefan

Answer:

  B)  T = 2πr/v

Step-by-step explanation:

To solve the given equation for T, multiply it by T/v.

[tex]v=\dfrac{2\pi r}{T}\\\\v\dfrac{T}{v}=\dfrac{2\pi r}{T}\cdot\dfrac{T}{v}\\\\T=\dfrac{2\pi r}{v} \qquad\text{simplify}[/tex]

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