A 3030 cmcm wrench is used to loosen a bolt with a force applied 0.30.3 mm from the bolt. It takes 6060 NN to loosen the bolt wh
1 answer:
Complete Question
A 30 cm cm wrench is employed to loosen a bolt, with force applied 0.30m from the bolt. It requires 60 N to loosen the bolt when force is applied perpendicular to the wrench. How much force would be necessary if the force were applied at a 30-degree angle from perpendicular?
Response:
The strength needed is
Clarification:
According to the problem, we know that
The length of the wrench is
The distance from the bolt is
The force necessary to loosen the bolt is
The angle of application is
Generally, the torque required for loosening the bolt is defined as
Now for the bolt to loosen at the torque at 90° must equal that at
Thus, the torque at is represented mathematically as
substituting values gives us
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