In a wheel and axel,the radius of the wheel is 50cm and that of the axel is 20 cm.if a load is 2000n is lifted by applying an effort of 1000n,calculate ma,vr and

Respuesta :

The value of actual machine advantage (MA) is 2, velocity ration (VR) is 2.5 and efficiency η is 80%.

Calculation:

It is given that the radius of the wheel is 50 cm, radius of axle is 20 cm, load is 2000 N and effort is 1000 N.

Let, R = 50 cm

r = 20 cm

L=  2000 N

E = 1000 N

We have to calculate actual machine advantage, velocity ratio and efficiency.

We know that,

  • Actual machine advantage is the ratio of load and effort.

       MA=L/E

             =2000/1000

              =2

  • Velocity ratio is obtained by the ratio of radius of wheel to the radius of axle.

        VR=R/r

             =50/20

             =2.5

  • Efficiency is the percentage of the ratio of actual advantage and velocity ration.

         η=(MA/VR)*100

           =(2/2.5)*100

           =(0.8)*100

           =80%

Since your question is incomplete, your complete question might be

"In a wheel and axel, the radius of the wheel is 50cm and that of the axel is 20 cm. If a load is 2000n is lifted by applying an effort of 1000n,calculate ma, vr and η."

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