Question

A yo-yo is moving in a horizontal circle of radius, r. the yo-yo has a mass of 0.250 kg, has a speed of 9.00 m/s and experiences a centripetal force of 26. 6 N. what is the radius of the circle that the yo-yo is moving in?

Answer 1

We will have the following:

`F=(mv^2)/(r)\Rightarrow26.6N=((0.250kg)(9.00m/s)^2)/(r)`
`\Rightarrow r=((0.250kg)(9.00m/s)^2)/(26.6N)\Rightarrow r=(405)/(532)m`
`\Rightarrow r\approx0.761m`

So, the radius of the circle the yoyo is moving is approximately 0.761 meters.