How do you calculate the ideal effort required for a wheel radius of 0.18 m and axle radius of 0.06 m with a load of 150 N?

To find the ideal effort required to lift a load using a wheel and axle system, you can use the relationship derived from the radii of the wheel and axle. The formula for calculating effort when using a wheel and axle involves the load and the ratio of the wheel radius to the axle radius.

In this scenario, the formula for the ideal effort can be expressed as:

Effort = Load ÷ (Wheel Radius ÷ Axle Radius)

Given the load of 150 N, a wheel radius of 0.18 m, and an axle radius of 0.06 m, the correct approach is to substitute these values into the formula. This results in:

Effort = 150 ÷ (0.18 ÷ 0.06)

Calculating (0.18 ÷ 0.06) provides the necessary mechanical advantage, as it tells us how much the wheel radius amplifies the effort compared to the axle radius. The correct calculation will yield the required effort needed to balance the load of 150 N based on these dimensions.

The selected answer represents this relationship accurately, allowing us to determine the minimum effort needed to overcome the load.