# Calculating Torque of a Uniform Door Due to its Own Weight

• mikefitz
In summary, torque is a measure of the turning or twisting force on an object, calculated by multiplying the force applied by the distance from the point of rotation to the point where the force is applied. To calculate the torque of a uniform door, you need to know its weight, distance from hinges to center of gravity, and angle. The center of gravity of a door is where its weight is evenly distributed, usually near the midpoint. The angle of the door affects torque calculation as it increases, the distance from the point of rotation to the force applied point also increases, resulting in greater torque. Calculating the torque of a door is important for proper installation and functioning, determining force needed, and designing door hardware.
mikefitz

## Homework Statement

A uniform door
weighs 50.0 N and
is 1.0 m wide and
2.6 m high. What is
the magnitude of
the torque due to
the door's own
horizontal axis
perpendicular to the
door and passing
through a corner?

http://img519.imageshack.us/img519/5172/untitledwp6.png

question; where does t=rF come from? it is not found on my equation sheet...

Last edited by a moderator:
mikefitz said:
question; where does t=rF come from? it is not found on my equation sheet...

This is extremely elementary. What is the definition of the torque?

The equation T = rF comes from the definition of torque, which is the rotational equivalent of force. Torque is the product of the force applied and the distance from the axis of rotation to the point where the force is applied (r). In this case, the force is the weight of the door and the distance is the perpendicular distance from the corner of the door to the axis of rotation. Therefore, T = rF is the appropriate equation to use in order to calculate the torque due to the door's own weight.

## 1. What is torque?

Torque is a measure of the turning or twisting force on an object. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied.

## 2. How do you calculate the torque of a uniform door?

To calculate the torque of a uniform door due to its own weight, you will need to know the weight of the door, the distance from the hinges to the center of gravity of the door, and the angle at which the door is open. The formula for calculating torque in this case is torque = weight x distance x sin(angle).

## 3. What is the center of gravity of a door?

The center of gravity of a door is the point at which the weight of the door is evenly distributed. In most cases, this is near the midpoint of the door.

## 4. How does the angle of the door affect the torque calculation?

The angle of the door affects the torque calculation because as the angle increases, the distance from the point of rotation to the point where the force is applied also increases. This means that at a larger angle, the door will exert a greater torque due to its own weight.

## 5. Why is it important to calculate the torque of a door?

Calculating the torque of a door is important to ensure that the door is properly installed and functioning correctly. It can also help to determine the amount of force required to open or close the door, and can be useful in designing door hinges and other hardware.

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