If luis pulls straight down on the end of a wrench that is tilted θ = 30∘ above the horizontal and is r = 35 cm long, what force must he apply to exert a torque of -13 n⋅m ?

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07-11-2017
Physics

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If luis pulls straight down on the end of a wrench that is tilted θ = 30∘ above the horizontal and is r = 35 cm long, what force must he apply to exert a torque of -13 n⋅m ?

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W0lf93 W0lf93 · Answer 1 · 2017-11-18T12:43:26+01:00

W0lf93 W0lf93

18-11-2017

The equation that relates force and torque is Torque = Force*length*sin(angle). Plug in the given values to the equation (convert length to meters first): -13 = Force * 0.35 * sin(30 degrees). Rearrange to solve for Force: Force = -13/(0.35 * 0.5) = -74.3 N (which is the same as a downward force of magnitude 74.3 N.

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