Lifting Wheel

Overview

Engineering reference data for Lifting Wheel in mechanics.

Key Formulas

Newton's Second Law

$F = ma$

Force = mass × acceleration.

Work

$W = Fd\cos\theta$

Work = force × displacement × cos(angle).

Kinetic Energy

$E_k = \frac{1}{2}mv^2$

Energy of motion.

Potential Energy

$E_p = mgh$

Gravitational potential energy.

Variables

Practical Example

To illustrate the application of the lifting wheel formula, consider this step-by-step calculation:

Given:

• Mass of the body, $m = 100$ kg
• Inner diameter of the wheel, $d = 0.1$ m
• Outer diameter of the wheel, $D = 0.3$ m
• Acceleration due to gravity, $a_g = 9.81 \, \text{m/s}^2$

Solution: First, calculate the weight (gravity force) $W$: $W = m \cdot a_g = 100 \, \text{kg} \times 9.81 \, \text{m/s}^2 = 981 \, \text{N}$

Then, substitute into the effort force formula: $F = \frac{W \cdot d}{D} = \frac{981 \, \text{N} \times 0.1 \, \text{m}}{0.3 \, \text{m}} = 327 \, \text{N}$

The required effort force is 327 N (or 0.327 kN).

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References

• Original Source