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
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Let's solve this problem step-by-step.
Step 1: 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
Step 2: 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 = 8
Step 3: Calculate 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 = 6.8
Step 4: Calculate 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 N
An applied force of 1200 N to the wheel will raise a load of 8160 N.