SOLUTION: An electric hoist is being used to lift a beam. The diameter of the drum on the hoist is 8 inches, and the beam must be raised 2.5 feet. Find the number of degrees through which th

Algebra ->  Trigonometry-basics -> SOLUTION: An electric hoist is being used to lift a beam. The diameter of the drum on the hoist is 8 inches, and the beam must be raised 2.5 feet. Find the number of degrees through which th      Log On


   

Question 979395: An electric hoist is being used to lift a beam. The diameter of the drum on the hoist is 8 inches, and the beam must be raised 2.5 feet. Find the number of degrees through which the drum must rotate. Round your answer to nearest whole number.
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
Rotation of drum = lift of beam
So,
If A be angle of rotation, then,
%28A%2F360%29%2A%28pi%2Ad%29=+Lift
=> 8%2Api%2AA%2F360+=+2.5+%2A12
=> A=+%2830%2A360%29%2F%288%2Api%29
=> A= 430 degrees (approx.)
[THE QUES. HAS DIAMETER AND LIFT IN SEPARATE UNITS AS INCH AND FEET. CHECK YOUR QUES. IF BOTH HAVE SAME UNITS,THEN THE ANSWER WILL BE 36 DEGREES APPROX. (YOU WILL HAVE TO REMOVE 12 FROM RHS IN 2ND STEP]