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Work Formula:
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In physics, work is defined as the product of the force applied to an object and the distance the object moves in the direction of the force, taking into account the angle between the force and displacement vectors. It is measured in joules (J).
The calculator uses the work formula:
Where:
Explanation: The cosine component accounts for the directional relationship between force and displacement. When force and displacement are in the same direction (θ = 0°), cos(0°) = 1, and work is maximized.
Details: Calculating work is fundamental in mechanics and engineering to determine energy transfer, mechanical advantage, and efficiency of systems. It helps understand how much energy is required or produced in various physical processes.
Tips: Enter force in newtons, distance in meters, and angle in degrees (0-180). All values must be positive. The angle should represent the angle between the force vector and displacement vector.
Q1: What happens when the angle is 90 degrees?
A: When θ = 90°, cos(90°) = 0, so no work is done. The force is perpendicular to the direction of motion.
Q2: Can work be negative?
A: Yes, when the angle is between 90° and 180°, cos(θ) is negative, indicating work is done against the force (e.g., friction doing negative work).
Q3: What's the difference between work and energy?
A: Work is the process of transferring energy. When work is done on an object, energy is transferred to that object.
Q4: How does this relate to power?
A: Power is the rate at which work is done (P = W/t). It measures how quickly energy is transferred or work is performed.
Q5: When is maximum work achieved?
A: Maximum work occurs when the force and displacement are in the same direction (θ = 0°), giving cos(0°) = 1.