2. A jackscrew with a handle 30.0 cm long is used to lift a car sitting on the jack.
The car raised 2.0 cm with every full turn of the handle. What is the ideal
mechanical advantage of the jack? (C = 23c).

Respuesta :

Answer:

[tex]94.25[/tex]

Explanation:

Given: Handle of jackscrew is 30 cm long. Also, the car raised 2.0 cm with every full turn of the handle.

To find: ideal  mechanical advantage of the jack

Solution:

Let [tex]d_e[/tex] denotes the distance over which the effort is applied and [tex]d_r[/tex] denotes the distance that the load travels.

Here,

[tex]d_r=2\,\,cm[/tex]

[tex]d_e=2\pi(length\,\,of\,\,the\,\,handle)=2\pi(30)=60\pi[/tex]

So,

Ideal  mechanical advantage of the jack[tex]\frac{d_e}{d_r}=\frac{60\pi}{2}=30\pi=30(\frac{22}{7})=94.25[/tex]