Question

Complete the following table 3 only.

Answer 1

The helpful formula or guide is given thus;

`(N_1)/(N_2)\text{ = }(T_2)/(T_1)`

Where N represents the number of teeth on gear and T represents RPM of gear.

(a)

`\begin{gathered} (20)/(48)\text{ = }(x)/(240) \\ 48\text{ x = 20 X 240} \\ 48x\text{ = }4800 \\ x\text{ = }(4800)/(48) \\ x\text{ = }100 \end{gathered}`

(b)

`\begin{gathered} (25)/(x)\text{ = }(420)/(150) \\ 420x\text{ = 25 x 150} \\ 420x\text{ = 3750} \\ x\text{ = }(3750)/(420) \\ x\text{ = 8.9286} \\ x\text{ = 9} \end{gathered}`

(c)

`\begin{gathered} (x)/(40)\text{ = }(100)/(160) \\ 160x\text{ = 40 x 100} \\ 160x\text{ = 4000} \\ x\text{ = }(4000)/(160) \\ x\text{ = 25} \end{gathered}`

(d)

`\begin{gathered} (32)/(40)\text{ = }(1200)/(x) \\ 32x\text{ = 40 x 1200} \\ 32x\text{ = 48000} \\ x\text{ = }(48000)/(32) \\ x\text{ = 1500} \end{gathered}`