Question

Two wheel gears are connected by a chain. The larger gear has a radius of 5 centimeters and the

Answer 1

Answer:

The center velocity of both gears is same & equal to 2034.72 $\frac{cm}{min}$

Step-by-step explanation:

Given data

$R_1$ = 5 cm

$R_2$ = 3 cm

$N_2 =$ 36 rev in 20 sec

$\omega_2 = 2 \pi N_2$

$\omega_2$ = 2 × 3.14 × 1.8

$\omega_2$ = 11.304 $\frac{rad}{s}$

We know that for the set of gears

$R_1\omega_1 = R_2\omega_2$

$5 \omega_1 =$ 3 × 11.304

$\omega_1$ = 6.7824 $\frac{rad}{s}$

liner velocity of the first gear

$V_1 = R_1 \omega_1$

$V_1 =$ 5 × 6.7824

$V_1 =$ 33.912 $\frac{cm}{s}$

$V_1 =$ 20.34.72 $\frac{cm}{min}$

liner velocity of the second gear

$V_{2} = R_2 \omega_2$

$V_2 =$ 3 × 11.304

$V_2 =$ 2034.72 $\frac{cm}{min}$

Therefore the center velocity of both gears is same & equal to 2034.72 $\frac{cm}{min}$