Question

The equation for the acceleration of a body moving in a circle is , where a is acceleration, v is velocity, and r is the radius of the circle. Acceleration has units of m/s2.Solve the equation for velocity.

Answer 1

The equation for the acceleration of a body moving in a circle is:

a = v^2/r

To solve for velocity, we can rearrange this equation as follows:

a = v^2/r

v^2 = a * r

v = sqrt(a * r)

Therefore, the equation for velocity is:

v = sqrt(a * r)

where v is the velocity of the body, a is its acceleration, and r is the radius of the circle.