Minimise the note

Physics

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Answer

VR=10,MA=8,η=80%VR = 10, \quad MA = 8, \quad \eta = 80\%

Step 1: Velocity ratio (VR)
The velocity ratio for a wheel and axle is the ratio of the radius of the wheel to the radius of the axle.
VR=RrVR = \frac{R}{r}
Given R=30cmR = 30\,\mathrm{cm}, r=3cmr = 3\,\mathrm{cm},
VR=303=10VR = \frac{30}{3} = 10

Step 2: Mechanical advantage (MA)
The mechanical advantage is the ratio of load to effort.
MA=WPMA = \frac{W}{P}
Given W=400NW = 400\,\mathrm{N}, P=50NP = 50\,\mathrm{N},
MA=40050=8MA = \frac{400}{50} = 8

Step 3: Efficiency (η\eta)
The efficiency is given by
η=MAVR×100%\eta = \frac{MA}{VR} \times 100\%
Substitute the values,
η=810×100%=80%\eta = \frac{8}{10} \times 100\% = 80\%

Final answers:
VR=10,MA=8,η=80%VR = 10, \quad MA = 8, \quad \eta = 80\%

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