# Forces and reaction forces generated by a linear actuator

• amrbekhit
In summary, the linear actuator is pushing outwards with a force of 10N, causing all the forces in the system to balance each other. Therefore, F1 = F2 = R1 = R2 = 5N.
amrbekhit
A linear actuator is wedged between two solid walls as shown in the diagram below. The linear actuator is pushing outwards with a force of 10N. What are the magnitudes of the forces labelled in the diagrams?

I reckon that F1 = F2 = R1 = R2. However, I'm not sure if F1 = F2 = 5N or 10N. I'm guessing 10N.

Any thoughts?

--Amr

If the system is in equilibrium then all the forces are balanced.

Remember, if R1 = 10N and R2 = 10N that implies that there is 20N compressing the system and we know there is only 10N expanding it.

Jared

Hi Jared,

Thanks for your reply. Based on that, if the linear actuator produces a 10N force, F1 = F2 = R1 = R2 = 5N.

Amr

I'd agree with that conclusion.

Jared

utha

I can confirm that your assumption is correct. The forces F1 and F2 will be equal in magnitude to the force applied by the linear actuator, which in this case is 10N. This is due to Newton's third law of motion, which states that every action has an equal and opposite reaction. Therefore, the forces labelled as F1 and F2 are reaction forces to the force applied by the linear actuator. The forces labelled as R1 and R2, which are the normal forces exerted by the walls, will also be equal in magnitude to the force applied by the linear actuator. This is because the walls are acting as supports and will exert an equal and opposite force to prevent the linear actuator from moving inwards.

## 1. What is a linear actuator?

A linear actuator is a type of mechanical device that converts rotational motion into linear motion. It typically consists of a motor, a lead screw, and a nut or ball screw assembly that work together to create linear movement.

## 2. How do forces and reaction forces work in a linear actuator?

When the motor in a linear actuator rotates, it creates a force that is transferred to the lead screw. This force is then converted into linear movement by the lead screw, which pushes or pulls the load attached to the actuator. The reaction force is the force exerted by the load on the actuator, which is equal in magnitude but opposite in direction to the force generated by the actuator.

## 3. What factors affect the forces and reaction forces in a linear actuator?

The forces and reaction forces in a linear actuator are affected by several factors, including the type and size of the motor, the pitch of the lead screw, the load being moved, and the speed and direction of movement. Friction and external forces can also impact the overall forces and reaction forces in a linear actuator.

## 4. How do I calculate the forces and reaction forces in a linear actuator?

The forces and reaction forces in a linear actuator can be calculated using the basic principles of Newton's laws of motion. The force generated by the motor can be calculated using the torque of the motor and the gear ratio of the lead screw. The reaction force can be calculated by considering the weight of the load and the forces acting on it.

## 5. What are some common applications of linear actuators?

Linear actuators are commonly used in various industries and applications, such as robotics, automation, medical equipment, and aerospace. They are also used in household appliances, such as electric recliners, adjustable beds, and garage doors. Linear actuators are also used in industrial equipment and machinery for precise and controlled linear movement.

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