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## Homework Statement

A simple model of the core of a tornado is a right circular cylinder that rotates about its axis. If a tornado has a core diameter of 200 feet and maximum wind speed of 240 mi/hr (or 352 ft/sec) at the perimeter of the core, approximate the number of revolutions the core makes each minute. (Round your answer to one decimal place.)

## Homework Equations

s=r(theta) and V=r(omega)

## The Attempt at a Solution

The practice problems had a radius and rpm given and I could find the angular and linear speeds, where I'm struggling is I'm not sure how to reverse the example in order to convert the speed and radius into rpm.

V=r(omega) then (omega)=V/r ???is that right? then when I plug the numbers:

omega=(352ft/sec)/(100ft/rad)....shoud I multipy the reciprocal being (1rad/100ft)

then get: omega=3.52rad/sec...

somewhere I'm sure pi has to come in, 2pi=1rpm...so do I multiply by 1/2pi ??? this is where I'm getting lost.