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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Physics

Lam

22 February, 20:02

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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Emilee Gibbs · Answer 1

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.