A wheel with a radius of 20 cm is attached to an axle with a radius of 1cm. An effort force of 100 N on the wheel counters a resistance force of what on the axle?
To find the resistance force on the axle, we need to understand the mechanical advantage of the system.
The mechanical advantage of a wheel and axle system can be calculated by dividing the radius of the wheel by the radius of the axle. In this case, the radius of the wheel is 20 cm (0.2 m), and the radius of the axle is 1 cm (0.01 m).
Mechanical Advantage = Radius of the Wheel / Radius of the Axle
Mechanical Advantage = 0.2 m / 0.01 m
Mechanical Advantage = 20
The mechanical advantage of this system is 20.
Now, we can use the formula for mechanical advantage to calculate the resistance force on the axle:
Mechanical Advantage = Resistance Force / Effort Force
Given that the effort force is 100 N, and the mechanical advantage is 20:
20 = Resistance Force / 100 N
To find the resistance force on the axle, we can rearrange the equation:
Resistance Force = Mechanical Advantage * Effort Force
Resistance Force = 20 * 100 N
Resistance Force = 2000 N
Therefore, the resistance force on the axle is 2000 N.