Simple Torque on Rigid Object

IAmSparticus

1. You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 26 N·m. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench.



2. Torque= Force * Lever arm length



3. The force is said to be 26 N*m, and the lever arm length is shown to be 0.28 cm in the picture.

26 N*m = F * 0.28 m
F= 26 N*m/0.28m
F= 92.86 N

Which is wrong. What did I do wrong?

Attached Thumbnails

 

rock.freak667

0.28 is the length of it, not the perpendicular distance. What is the perpendicular distance it nust move?

IAmSparticus

Is it 16.165 cm (.16165 m)?

rock.freak667

How did you get that?

The wrench forms a right angled triangle with hypotenuse 0.28 which makes an angle of 50 with the horizontal.