A force of 230N acts in its direction 065\(^o\). Find its horizontal component.
Answer Details
When a force is acting at an angle to the horizontal, we can break it down into two components: the horizontal component and the vertical component. The horizontal component of the force is the part of the force that is acting in the horizontal direction, while the vertical component is the part of the force that is acting in the vertical direction.
To find the horizontal component of the force of 230N acting at an angle of 65\(^o\), we use the formula:
Horizontal component = Force × cos(angle)
where angle is the angle between the force and the horizontal direction.
Substituting the values given in the problem, we have:
Horizontal component = 230N × cos(65\(^o\))
Using a calculator, we can find that cos(65\(^o\)) is approximately 0.4226.
Therefore, the horizontal component of the force is:
Horizontal component = 230N × 0.4226 ≈ 97.2N
Therefore, the answer is approximately 97.2N.