Calculating Force for Torque: Understanding Proper Spark Plug Tightening

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Therefore, the perpendicular distance is given by sin(50) * 0.28 = 0.16165 m.In summary, to tighten the spark plug to a torque of 26 N·m, you will need to exert a force of approximately 92.86 N. However, this calculation assumes that the lever arm length is 0.28 m which is incorrect. The perpendicular distance that the wrench must move is actually 0.16165 m, which would result in a different force requirement.
  • #1
IAmSparticus
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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?
 

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  • #2
0.28 is the length of it, not the perpendicular distance. What is the perpendicular distance it nust move?
 
  • #3
Is it 16.165 cm (.16165 m)?
 
  • #4
IAmSparticus said:
Is it 16.165 cm (.16165 m)?

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.
 

Related to Calculating Force for Torque: Understanding Proper Spark Plug Tightening

1. What is torque?

Torque is a measure of the force that causes an object to rotate around an axis or pivot point. It is similar to force, but instead of linear motion, it causes rotational motion.

2. How is torque calculated?

Torque is calculated by multiplying the force applied to an object by the distance from the axis of rotation to the point where the force is applied. The formula for torque is T = F x r, where T is torque, F is force, and r is the distance.

3. What is the unit of measurement for torque?

The unit of measurement for torque is Newton-meters (Nm) in the metric system and foot-pounds (ft-lb) in the imperial system.

4. What factors affect torque?

The two main factors that affect torque are the magnitude of the force applied and the distance from the axis of rotation to where the force is applied. Additionally, the angle of the applied force can also affect the torque.

5. How is torque used in real-life applications?

Torque is used in many real-life applications, including machinery, vehicles, and sports equipment. It is essential in determining the stability and movement of objects, such as in the steering of a car or the rotation of a bicycle wheel. It is also crucial in the design and operation of machines, such as engines and motors.

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