Question

The spin cycles of a washing machine have two angular speeds, 436 rev/min and 605 rev/min . the internal diameter of the drum is 0.420 m . part a what is the ratio of the maximum radial force on the laundry for the higher angular speed to that for the lower speed

Answer 1

In order to answer this question, we are going to look for the radial force ratio.Radial force usually means a force used in a radial way in the direction of the center or away from the centre.So to solve this, the computation is: Radial forces ratio = n2^2/n1^2 = (605/436) ^2 = 1.93 is the answer.

Answer 2

Answer:

Ratio is 1.92

Explanation:

First angular speed of washing machine, $\omega_1=436\ rev/min=45.65\ rad/s$

Second angular speed of the washing machine, $\omega_2=605\ rev/min=63.35\ rad/s$

It is required to find the ratio of the maximum radial force on the laundry for the higher angular speed to that for the lower speed.

Radial force is given by :

$F=m\omega^2r$

Ratio :

$\dfrac{F_2}{F_1}=\dfrac{\omega_2^2}{\omega_1^2}\\\\\dfrac{F_1}{F_2}=\dfrac{63.35^2}{45.65^2}\\\\\dfrac{F_1}{F_2}=1.92$

Therefore, the ratio of the maximum radial force on the laundry for the higher angular speed to that for the lower speed is 1.92