Question

in uniform circular motion, the speed v of point on the edge of a spinning disk is v=2π/T times r. where r is the radius of the disk and T is the time it takes the point to travel once around the circle. Solve the formula for r.

Answer 1

First lets write down starting formula:


`V = (2 \pi )/(T) * r`

We multiply both sides of = sign by T

T*V = 2*
`\pi`*r

Now we divide both sides with 2*
`\pi`


`(T*V)/(2* \pi ) =r`

which is now solved for r