anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
equate the arc length formula with the height lifted off the ground and solve for radius, be sure to convert degrees to radians
anonymous
  • anonymous
Whata the formula look like
anonymous
  • anonymous
s=r\[\theta\]

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anonymous
  • anonymous
What's s in the equation
anonymous
  • anonymous
arc length
anonymous
  • anonymous
There is no arc length. ???
anonymous
  • anonymous
read my first post
radar
  • radar
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.
radar
  • radar
So 51/360 of a rotation is equal to 11.4, what would a full (1)rotation be equal to?
radar
  • radar
From that we can conclude that .1433x=11.4 in. (51.6 degrees is 14% of 360degrees) x=81.42in.,or the circumference of pulley is 81.42in. C=pi D. D=C/pi=81.42/pi=25.9, radius would be D/2 or approx 12.9in

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