I was given a problem that has a triangle shape, which two sides should represent strings. The axial area that is rotating has an angle of 40 degrees. And it rotates by w (omega) = 1 Rad/Sec. I have to find tension of both the strings.

How would I exactly start the problem? I haven't started the problem before with centripetal force and angles involved before...

To start solving the problem, you'll need to understand the concepts of centripetal force, tension, and rotational motion.

First, let's review some key concepts. In a rotating object, there is always a centripetal force acting towards the center of rotation. In this case, the axial area rotating is the central point, and the centripetal force is provided by the tension in the strings.

Now, let's break down the problem step by step:

1. Draw a diagram: Draw the triangle shape with the two sides representing the strings and the axial area rotating. Label the given angle of 40 degrees in the diagram.

2. Identify the forces: In this case, the only significant forces acting on the rotating axial area are the tensions acting in the strings.

3. Analyze the rotational motion: The axial area is rotating with an angular velocity (w) of 1 rad/sec. The centripetal force required to keep the object in circular motion can be calculated using the formula:

Centripetal force = Mass x Radius x Angular velocity squared

Since the mass and radius are not given in the problem, we will express the centripetal force in terms of tension.

4. Break down the tension forces: Let's assume there are two tension forces acting on the axial area. Call them T1 and T2. T1 is the tension in the first string and T2 is the tension in the second string.

5. Use trigonometry: Since we know the angle involved in the problem, we can use trigonometric relationships to relate the tension forces with the centripetal force. In this case, the centripetal force is equal to the sum of the two tensions, T1 and T2, multiplied by the cosine of the angle between the two strings.

Centripetal force = (T1 + T2) x cos(angle)

6. Solve for the tensions: Rearrange the equation to solve for T1 and T2. Once you have the equation, you can substitute in the known values: angle = 40 degrees and the centripetal force formula.

(T1 + T2) = Centripetal force / cos(angle)

Substitute the values and solve for T1 and T2.

Remember to convert the angle to radians (since omega is given in radians per second) before substituting it into the equation.

By following these steps, you should be able to find the tensions in the two strings.