Can you solve for tension using these formulas?

Thread starter electronicxco
Start date Feb 20, 2010
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Cylinder

In summary, an object swung in a cylinder is a demonstration of centripetal force, which is the force that keeps an object in a circular path. The object stays in motion due to the tension in the string, and factors such as mass, string length, and speed can affect its motion. The centripetal force is directly proportional to the speed of the object, and this concept has many real-life applications, including the motion of satellites and understanding the stability of objects.

Feb 20, 2010

electronicxco

A 2.91 kg object is swung in a vertical circular
path on a string 3.94 m long.
The acceleration of gravity is 9.8 m/s2 .
If the speed at the top of the circle is 7 m/s,
what is the tension in the string when the
object is at the top of the circle?

can you show the formulas needed to get to the answer? Thanks a lot

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Feb 20, 2010

ideasrule

Homework Helper

Here they are:

F=ma
Fc=mv^2/r
Fg=mg

1. What is an object swung in a cylinder?

An object swung in a cylinder refers to a demonstration used in science experiments to demonstrate the concept of centripetal force. It involves swinging an object, such as a ball, on a string inside a clear cylinder filled with water. The object will follow a circular path due to the centripetal force acting on it.

2. How does the object stay in motion inside the cylinder?

The object stays in motion inside the cylinder due to the centripetal force, which is directed towards the center of the circular path. This force is provided by the tension in the string, which continuously pulls the object towards the center, allowing it to maintain its circular motion.

3. What factors affect the motion of the object in the cylinder?

The motion of the object in the cylinder can be affected by several factors, including the mass of the object, the length of the string, and the speed at which it is swung. These factors can impact the centripetal force acting on the object and can cause changes in its motion.

4. What is the relationship between the centripetal force and the speed of the object?

The centripetal force is directly proportional to the speed of the object. This means that as the speed of the object increases, the centripetal force also increases, and vice versa. This relationship is described by the formula Fc = mv²/r, where Fc is the centripetal force, m is the mass of the object, v is the speed, and r is the radius of the circular path.

5. How is the concept of centripetal force applicable in real life?

The concept of centripetal force is applicable in many real-life situations, such as the motion of satellites around the Earth, the rotation of planets around the sun, and the circular motion of objects in a carnival ride. It is also essential in understanding the stability of objects, such as a bicycle or a car, when turning at high speeds.