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A student was using a machine of velocity ratio of 1 where he applied an effort of 750N and had a load of 2000N. Calculate the efficiency of the machine and give a conclusion depending on the final answer for efficiency?

Physics

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Step-by-step solution

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Hapa kuna majibu ya maswali yako:

  1. Njia moja ya kuboresha ufanisi wa mashine ni:

    • Kupunguza msuguano (friction) kati ya sehemu zinazosonga kwa kutumia vilainishi (lubricants) kama vile mafuta au grisi.
  2. Ili kukokotoa ufanisi wa mashine, kwanza tunahitaji kukokotoa Faida ya Kimakanika (Mechanical Advantage, MA).

  1. Kokotoa Faida ya Kimakanika (MA).

    Faida ya Kimakanika (MA) inakokotolewa kama uwiano wa mzigo (load) kwa juhudi (effort).
    $$
    \text{MA} = \frac{\text{Mzigo}}{\text{Juhudi}}
    $$
    $$
    \text{MA} = \frac{2000\, \text{N}}{750\, \text{N}}
    $$
    $$
    \text{MA} = \frac{8}{3} \approx 2.67
    $$
    
  2. Kokotoa Ufanisi (Efficiency).

    Ufanisi unakokotolewa kama uwiano wa Faida ya Kimakanika (MA) kwa Uwiano wa Kasi (Velocity Ratio, VR), kisha kuzidisha kwa 100% ili kupata asilimia.
    $$
    \text{Ufanisi} = \frac{\text{MA}}{\text{VR}} \times 100\%
    $$
    Tunapewa $\text{VR} = 3$.
    $$
    \text{Ufanisi} = \frac{8/3}{3} \times 100\%
    $$
    $$
    \text{Ufanisi} = \frac{8}{9} \times 100\%
    $$
    $$
    \text{Ufanisi} \approx 0.8889 \times 100\%
    $$
    $$
    \text{Ufanisi} \approx \boxed{\text{88.89\%}}
    $$
    
  3. Hitimisho.

    Kwa kuwa ufanisi ni chini ya 100%, hii inaonyesha kuwa mashine si bora (ideal) na sehemu ya nishati inapotea, hasa kutokana na msuguano.
    

    3. Nishati ni uwezo wa kufanya kazi. Kitengo chake cha S.I. ni Joule (J).

    1. Tofauti kati ya nishati uwezo (potential energy) na nishati mwendo (kinetic energy):
      • Nishati uwezo (Potential energy) ni nishati iliyohifadhiwa ndani ya kitu kutokana na nafasi yake au hali yake (k.m., urefu wake au kunyooshwa kwake).
      • Nishati mwendo (Kinetic energy) ni nishati ambayo kitu kinamiliki kutokana na mwendo wake.
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