## anonymous 5 years ago A rope is attached to a pulley with a weight attached to the end of the rope. What is the radius of the pulley if rotating the pulley 51.6 degrees lifts the weight 11.4 inches

1. anonymous

equate the arc length formula with the height lifted off the ground and solve for radius, be sure to convert degrees to radians

2. anonymous

Whata the formula look like

3. anonymous

s=r$\theta$

4. anonymous

What's s in the equation

5. anonymous

arc length

6. anonymous

There is no arc length. ???

7. anonymous

A full rotation would be 360 degrees. so 51.6 degrees would be a partial rotation. 51.6/360 would be the equivalent rotation. This partial rotation is equivalent to 11.4 inches of rotation. Other words a point on the circumference moved 11.4 inches.

So 51/360 of a rotation is equal to 11.4, what would a full (1)rotation be equal to?