Question

A washing machine’s two spin cycles are 328 rev/min and 542 rev/min. The diameter of the drum is 0.43 m.

Answer 1

• Diameter=0.43m
• Radius=0.21m

#1

$\\ \tt\rightarrowtail \dfrac{a_1}{a_2}=\dfrac{(v1)^2r}{(v2)^2r}$

• putting v=rw

$\\ \tt\rightarrowtail \dfrac{a_1}{a_2}=\dfrac{r^3\omega_1^2}{r^3\omega_2^2}$

• Cancel r^3

$\\ \tt\rightarrowtail \dfrac{a_1}{a_2}=\dfrac{(328)^2}{(542)^2}$

$\\ \tt\rightarrowtail a_1:a_2=107584:293764$

#2

$\\ \tt\rightarrowtail v_1:v_2=328:542=164:271$