Screw Jack Ima D5A870
1. **State the problem:** We have a screw jack with a pitch of 0.5 cm and a handle length of 2 cm. We want to determine the mechanical advantage or related parameters.
2. **Relevant formula:** The ideal mechanical advantage (IMA) of a screw jack is given by:
$$\text{IMA} = \frac{2\pi r}{p}$$
where $r$ is the radius of the handle and $p$ is the pitch of the screw.
3. **Given values:**
- Pitch, $p = 0.5$ cm
- Handle length (radius), $r = 2$ cm
4. **Calculate IMA:**
$$\text{IMA} = \frac{2\pi \times 2}{0.5} = \frac{4\pi}{0.5} = 8\pi$$
5. **Simplify:**
$$8\pi \approx 8 \times 3.1416 = 25.13$$
6. **Interpretation:** The ideal mechanical advantage of the screw jack is approximately 25.13, meaning the force applied at the handle is amplified about 25 times at the screw.