tension in the cord is made up of weight mg, and centripetalforce directed outward. Add those as vectors to get tension.
Period=2PIsqrt(l/g)
To understand how the tension in a cord is determined by the weight and the centripetal force, we need to analyze the forces acting on the object connected to the cord.
The first force is the weight, which is equal to the mass of the object (m) multiplied by the acceleration due to gravity (g). The weight acts vertically downward and is given by the equation F_weight = m * g.
The second force to consider is the centripetal force, which is responsible for keeping the object moving in a circular path. For an object moving in a circle of radius r with a speed v, the centripetal force is given by the equation F_centripetal = m * (v^2 / r).
In the case of a cord, such as a string or a rope, these forces add up to determine the tension in the cord. The tension (T) in the cord is the net force acting along the string. Since the weight and the centripetal force act in opposite directions, we need to add them as vectors.
To find the tension in the cord, we can use the following equation:
T = F_weight + F_centripetal
Substituting the expressions for weight and centripetal force, we have:
T = m * g + m * (v^2 / r)
This equation shows that the tension in the cord is determined by both the weight of the object and the centripetal force required to keep it moving in a circular path.
Now, let's address the equation you mentioned: Period = 2π * √(l/g). This equation relates the period of a simple pendulum (time taken for one complete oscillation) to the length of the pendulum (l) and the acceleration due to gravity (g).
In this equation, 'l' represents the length of the pendulum and 'g' represents the acceleration due to gravity. To find the period, we need to plug in the values for 'l' and 'g' into the equation and solve for the period.
So, to summarize, the tension in a cord is determined by both the weight of the object and the centripetal force required to keep it moving in a circular path. The period of a simple pendulum is determined by the length of the pendulum and the acceleration due to gravity, as represented by the equation Period = 2π * √(l/g).