the table shows dimensions of four wheel and axles. which shows the order of mechanical advantage from least…

the table shows dimensions of four wheel and axles. which shows the order of mechanical advantage from least to greatest? wheel and axle dimensions radius of axle (cm) radius of wheel (cm) w 4 12 x 9 36 y 3 18 z 8 16 y, x, w, z z, w, x, y z, x, w, y y, z, w, x

the table shows dimensions of four wheel and axles. which shows the order of mechanical advantage from least to greatest? wheel and axle dimensions radius of axle (cm) radius of wheel (cm) w 4 12 x 9 36 y 3 18 z 8 16 y, x, w, z z, w, x, y z, x, w, y y, z, w, x

Answer

Explanation:

Step1: Recall mechanical - advantage formula

The mechanical advantage (MA) of a wheel - and - axle is given by $MA=\frac{R}{r}$, where $R$ is the radius of the wheel and $r$ is the radius of the axle.

Step2: Calculate MA for W

For W, $r = 4$ cm and $R = 12$ cm. So, $MA_W=\frac{12}{4}=3$.

Step3: Calculate MA for X

For X, $r = 9$ cm and $R = 36$ cm. So, $MA_X=\frac{36}{9}=4$.

Step4: Calculate MA for Y

For Y, $r = 3$ cm and $R = 18$ cm. So, $MA_Y=\frac{18}{3}=6$.

Step5: Calculate MA for Z

For Z, $r = 8$ cm and $R = 16$ cm. So, $MA_Z=\frac{16}{8}=2$.

Step6: Arrange in ascending order

Comparing the values: $MA_Z = 2$, $MA_W = 3$, $MA_X = 4$, $MA_Y = 6$. The order from least to greatest is Z, W, X, Y.

Answer:

Z, W, X, Y