A wheel and axle have radii 80cm and 10cm respectively. If the efficiency of the machine is 0.85, an applied force of 1200N to the wheel will raise a load of
Physics
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Identify the given values.
- Radius of the wheel (R) = 80 cm
- Radius of the axle (r) = 10 cm
- Efficiency (η) = 0.85
- Applied force (Effort, E) = 1200 N
Calculate the Velocity Ratio (VR) of the wheel and axle.
The formula for the Velocity Ratio of a wheel and axle is:
VR = (Radius of wheel) / (Radius of axle)
VR = R / r
VR = 80 cm / 10 cm
VR = 8Calculate the Mechanical Advantage (MA) using the efficiency.
The formula for efficiency is:
η = MA / VR
We can rearrange this to solve for MA:
MA = η × VR
MA = 0.85 × 8
MA = 6.8Calculate the Load (L) that can be raised.
The formula for Mechanical Advantage is:
MA = Load / Effort
MA = L / E
We can rearrange this to solve for L:
L = MA × E
L = 6.8 × 1200 N
L = 8160 NAn applied force of 1200 N to the wheel will raise a load of 8160 N.
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