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## Homework Statement

The first question reads:

In riding a bicycle, it is noted that the 26 inch diameter wheel makes 15.0 revolutions in a time of 8.50sec. What is the angular speed of the wheel? What distance does the bicycle travel during this time? (in feet) (in rad/s)

## Homework Equations

Circumference = 2 pi r

360 degrees = 1 revolution

Possibly radian = arc length/radius

## The Attempt at a Solution

I do know that the radius in feet is 1.1ft and the diameter is 2.2ft. I also figured out that the amount of rads is 6.9rad by: 1.1rev. x 2pi rad/rev = 6.9 rad (the revs cancel out). But would you use one of the kinematic equations to find for the distance and speed? I get that you would probably use the fomula for average velocity = change in distance over change in time.

The second question:

## Homework Statement

An electrical wire with a diameter of 0.75cm is wound on a spool with a radius of 30cm and a length of 24cm. Through how many radians must the spool be turned to wrap one even layer of wire? What is the length of this wound wire?

## Homework Equations

C = 2 pi r

## The Attempt at a Solution

I first drew it all out. then took 24cm divided by .75cm to equal 32cm. Is that how you find the length of the wire? I'm not exactly getting how to do this problem at all. Would finding the circumference of both be a good thing?