Torque formula is:
In this problem, we'll compute the angle between r and F from the equation:
We'll also use vector magnitude:
A wrench 40 cm long lies along the positive y-axis and grips a bolt at the origin. A force is applied in the direction (0, 4, -3) at the end of the wrench. Find the magnitude of the force needed to supply 90 N-m of torque to the bolt.
In order to find |F|, we will have to find the angle between F and r. We can use the equation
Using the equation above, we see that the angle is as follows. (Round your answer to one decimal place.)
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