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

Respuesta :

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:

Ratio is 1.92

Explanation:

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

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

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 :

[tex]F=m\omega^2r[/tex]

Ratio :

[tex]\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[/tex]

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

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE