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The tune-up specifications of a car call for the spark plugs to be tightened to a torque of 50 N⋅ m . You plan to tighten the plugs by pulling on the end of a 23-cm-long wrench. Because of the cramped space under the hood, you'll need to pull at an angle of 125° with respect to the wrench shaft. With what force must you pull? F=?

Respuesta :

ajdonis

Answer:

F=265.39N

Explanation:

In order to solve this problem, we must first draw a diagram of what the problem looks like (see attached picture).

So, in order to find the torque we must use the torque formula:

[tex]\tau=rxF[/tex]

or

[tex]\tau=rFsin\theta[/tex]

In this case we can either use 125° or 55°, the answer should be the same. So when solving the formula for F we get:

[tex]F=\frac{\tau}{r sin\theta}[/tex]

so we can now substitute values:

[tex]F=\frac{50Nm}{(23x10^{-2}m)sin 125^{o}}[/tex]

so

F=265.39N

Ver imagen ajdonis