Answer:
The length of material is 68.7 yards.
Step-by-step explanation:
If the material is delivered in a roll, we can calculate how many material is delivered by turn (one rotation). In one turn it delivers (π*D) of material, its perimeter.
If the diameter is 46 mm, in one turn the material delivered is
[tex]m=(\pi*D)=3.14*46mm=144.44 mm/rev[/tex]
As we know the rotational speed, we can calculate the amount of material delivered by unit of time:
[tex]m=144.44 \frac{mm}{rev}*290\frac{rev}{min}= 41,887.6\frac{mm}{min}[/tex]
If the roll turns for 90 seconds (or 1.5 min) we can calculate
[tex]m=41,887.6\frac{mm}{min}*1.5min=62,831.4mm[/tex]
As we need the result in yards, we can convert (1 yard=914.4 mm)
[tex]m=62,831.4mm*\frac{1yard}{914.4mm} =68.7 \,yards[/tex]
