According to the manual of a certaincar, a maximum torque of magnitude 69.0 N ·

Question

According to the manual of a certaincar, a maximum torque of magnitude 69.0 N · m should beapplied when tightening the lug nuts on the vehicle. If you use awrench of length 0.313 m and you apply the force at the end of thewrench at an angle of 75.00° with respect to a line going fromthe lug nut through the end of the handle, what is the magnitude ofthe maximum force you can exert on the handle without exceeding therecommendation?
Thanks! According to the manual of a certaincar, a maximum torque of magnitude 69.0 N · m should beapplied when tightening the lug nuts on the vehicle. If you use awrench of length 0.313 m and you apply the force at the end of thewrench at an angle of 75.00° with respect to a line going fromthe lug nut through the end of the handle, what is the magnitude ofthe maximum force you can exert on the handle without exceeding therecommendation?
Thanks! Thanks!

Explanation / Answer

          Giventhat the torque is = 69.0N.m           Lengthof the wrench is L = 0.313 m           Theangle is = 75.00 -----------------------------------------------------------------------        Torque is = force *perpendecular distance               69.0N= F *L*sin75.00                       F = 69.0N / L*sin75.00                             = -------- N       -----------------------------------------------------------------------        Torque is = force *perpendecular distance               69.0N= F *L*sin75.00                       F = 69.0N / L*sin75.00                             = -------- N      

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