An electric hoist is being usedto lift a beam. Te diameter of the drm on the hoit is 10in,and the beam mut be raised 2 feet. Find the number of degrees through which the drum must rotate?Thanks in advance
The arclength of a circle of radius r subtended by a central angle Θ is s = rΘ, The radius is 5 in. The arclength is 24 in. So the angle is Θ = s/r = 24/5. This is a real number. To convert to degrees, multiply by 180/π. Θ° = (24/5)(180°/π) = (864/π)° ≈ 275°.
