The mechanical advantage obtained from the wheel and axle principle of elevator is
## **Core Concept**
The wheel and axle principle is a simple machine used to gain mechanical advantage. In the context of an elevator, it helps in lifting heavy loads with less effort. The mechanical advantage obtained from the wheel and axle is determined by the ratio of the radius of the wheel to the radius of the axle.
## **Why the Correct Answer is Right**
The mechanical advantage (MA) of a wheel and axle system is given by the formula: MA = R/r, where R is the radius of the wheel and r is the radius of the axle. When R = 2r, the mechanical advantage is 2. This matches option , indicating that if the radius of the wheel is twice the radius of the axle, the mechanical advantage obtained is 2.
## **Why Each Wrong Option is Incorrect**
- **Option A:** is incorrect because it does not accurately represent the mechanical advantage when R = 2r.
- **Option B:** is incorrect because it suggests a mechanical advantage of 1, which would only be true if R = r, not when R = 2r.
- **Option D:** is incorrect because it implies a mechanical advantage of 3 or more, which does not align with the given relationship of R = 2r.
## **Clinical Pearl / High-Yield Fact**
In medical devices like elevators in hospitals or equipment with moving parts, understanding the mechanical advantage of simple machines is crucial for efficient design and operation. Remembering that the mechanical advantage of a wheel and axle is directly related to the ratio of the wheel's radius to the axle's radius can help in troubleshooting and optimizing these systems.
## **Correct Answer:** .