If the angle between two equal forces is 90 degrees, the resultant force can be calculated using the Pythagorean theorem. According to the theorem, in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, if the two forces are equal and their angle is 90 degrees, the resultant force will be the hypotenuse of a right-angled triangle formed by the two forces. Since the forces are equal, the triangle will be an isosceles right triangle (a right triangle with two equal sides).
Let's assume the magnitude of each force is F. The resultant force (R) can be calculated using the following formula:
R = â(F^2 + F^2)
Simplifying the equation:
R = â(2F^2)
R = Fâ2
Therefore, if the angle between two equal forces is 90 degrees, the resultant force magnitude will be equal to the magnitude of either force multiplied by the square root of 2.