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

Ratio is 1.92

Step-by-step 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 :

`(F_2)/(F_1)=(\omega_2^2)/(\omega_1^2)\\\\(F_1)/(F_2)=(63.35^2)/(45.65^2)\\\\(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

Answer 2

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.