# Pulley

On wheels with a diameter of 40 cm is fixed rope with the load. Calculate how far is load lifted when the wheel turns 7 times?

Result

d =  8.8 m

#### Solution:

$D = 40/100 = \dfrac{ 2 }{ 5 } = 0.4 \ m \ \\ r = D/2 = 0.4/2 = \dfrac{ 1 }{ 5 } = 0.2 \ m \ \\ o = 2 \pi \cdot \ r = 2 \cdot \ 3.1416 \cdot \ 0.2 \doteq 1.2566 \ m \ \\ d = 7 \cdot \ o = 7 \cdot \ 1.2566 \doteq 8.7965 = 8.8 \ \text{ m }$

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