SOLUTION: A pulley with a diameter of 0.5 meters is beingused to lift a box. How far will the box rise if the pulley is rotated through an angle of 5pi/3 radius

Question 445626: A pulley with a diameter of 0.5 meters is beingused to lift a box. How far will the box rise if the pulley is rotated through an angle of 5pi/3 radius
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A pulley with a diameter of 0.5 meters is being used to lift a box. How far will the box rise if the pulley is rotated through an angle of 5pi/3 radians
..
rotating 5π/3 radians is rotating pulley (5π/3)/2π) revolutions=5/6 rev
one revolution moves a point on the pulley = circumference of the pully
circumference of pulley=2πr=2π*(.5/2)=.5π
Point on pully moved 5/6 revolution=5/6*.5π=.417π meters
ans:
If the pulley is rotated through an angle of 5pi/3 radians, the box will rise .417π meters
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