A crank attached to a spool is used to pull up a length of wire. If the radius o
ID: 3098209 • Letter: A
Question
A crank attached to a spool is used to pull up a length of wire. If the radius of the spool is 1.5 meters, and a workman turns the crank by 25 radians, how much of the wire has been pulled up? A crank attached to a spool is used to pull up a length of wire. If the radius of the spool is 1.5 meters, and a workman turns the crank by 25 radians, how much of the wire has been pulled up? From what I understand you must use basic trig functions to solve the problem but I'm unsure what to do with the information about the 25 radians. Please show your steps for solving the problem. Much thanks!Explanation / Answer
Actually this problem can be solved using the arc length formula. This formula says that the arc length of a circle is the radius multiplied by the angle in radians. Therefore, if we multiply our radius by our angle in radians we get the length of wire which has been moved. L=25x1.5=37.5 meters This assumes that the width of the wire is negligable, as they have not given it to us. Trig functions do not make sense to use her as there are no triangles involved
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