Isaac applies a force of 40N at an angle of 60°up from the horizontal to a wooden rod using a spring scale.If he generatesa torque of 73 m.N,how long was the rod?
F=40NF = 40NF=40N
α=60°\alpha = 60\degreeα=60°
τ=73N∗m\tau=73N*mτ=73N∗m
τ=F∗r\tau = F*rτ=F∗r
τ=∣r∣∗∣F∣∗sinα\tau=|r|*|F|*\sin \alphaτ=∣r∣∗∣F∣∗sinα
r=τF∗sinα=7340∗sin60°≈2.11mr= \frac{\tau}{F*\sin \alpha}=\frac{73}{40*\sin 60\degree}\approx2.11mr=F∗sinατ=40∗sin60°73≈2.11m
Answer:2.11m\text{Answer:}2.11mAnswer:2.11m
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