Question

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?

Answer 1

B) T = 2πr/v

Explanation:

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

`v=(2\pi r)/(T)\\\\v(T)/(v)=(2\pi r)/(T)\cdot(T)/(v)\\\\T=(2\pi r)/(v) \qquad\text{simplify}`