Tension Calculator

Enter the force being applied to an object, and the angle of that force to calculate the total tension. This tension calculator uses Newtons of Force and degrees for the angle.

Tension Formula

Tension = Force applied * sin(X)

Where x is the angle between the force applied and the direction of tension.

How to calculate tension

The following example is a step by step guide on how to calculate the tension force being applied to an object. For this problem we are going to assume that someone is pulling a rope that is attached to a rock and we want to find out how much of the force is being applied in the x direction. This can be depicted below.

  1. First, we must determine the angle at which the rope is being pulled at. This is a crucial step in the process. An accurate measure of the angle of force will provide an accurate measure of the force int he x-direction. For this example we are going to say that we measure the angle and found it to be 15 degrees.
  2. Next, we need to calculate or measure the total force being applied to the rock. This can be done one of several ways. If this rock was in space, and the earth’s gravity was acting on it, we could simply calculate the force by measuring the acceleration and weight of the rock. For this problem, we will say we have a gauge attached at the end of the rope to measure the force. We find that the total force is 15 Newtons.
  3. Now, we need to enter all of the information into the calculator above. Tension = Total Force * sin(x) = 15 * sin(15) = 9.75 newtons in the x direction.
  4. The last step is to analyze the results for accuracy and apply to future problem.
tension calculator

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