Calculate 82875

A working load weighing 50 kg is placed on the wheel at a distance of 50 cm from the axis of rotation. Calculate the force required to lift the wheel. Hansel lifts the wheel at a distance of 1.5 meters from the axis of rotation. The weight of the wheel is not important in this case. (rounds the result to a whole number)

Correct answer:

F₂ =  167 N

Step-by-step explanation:

$$\begin{gathered} a=50\text{cm}\to \text{m}=50:100\text{m}=0.5\text{m} \\ b=1.5\text{m} \\ {m}_1=50\text{kg} \\ g=10{\text{m/s}}^2 \\ {F}_1=m_1\cdot g=50\cdot 10=500\text{N} \\ {M}_1=M_2 \\ {F}_1\cdot g\cdot a=F_2\cdot g\cdot b \\ {F}_1\cdot a=F_2\cdot b \\ {F}_2=F_1\cdot \frac{a}{b}=500\cdot \frac{0.5}{1.5}=167\text{N} \end{gathered}$$

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