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 45 N·m. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench.
Lenght of the wrench is .28 m and the angle is 50 Degrees... I get 250 for the Force but it is not right...
force=torque/length
I have no comprehension how you got 250.
To determine the magnitude of the force you must exert on the wrench, you can use the equation:
Torque = Force * Distance * sin(angle)
where:
Torque is the specified torque of 45 N·m,
Distance is the length of the wrench (0.28 m),
Angle is the angle between the force and the wrench (50 degrees).
Rearranging the equation, we can solve for Force:
Force = Torque / (Distance * sin(angle))
Plugging in the values:
Force = 45 N·m / (0.28 m * sin(50°))
Calculating this on a calculator:
Force ≈ 128.6 N
So, the magnitude of the force you must exert on the wrench is approximately 128.6 Newtons.
To determine the magnitude of the force, we can use the equation:
F = T / r
Where F is the force, T is the torque, and r is the distance from the point where the force is applied to the center of rotation.
In this case, the torque specified in the manual is 45 N·m.
Given the length of the wrench is 0.28 m, we can assume that the distance from the point where the force is applied to the center of rotation (r) is 0.28 m.
Plugging these values into the equation, we get:
F = 45 N·m / 0.28 m
F ≈ 160.714 N
Therefore, the magnitude of the force you must exert on the wrench is approximately 160.714 N.