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 determine the resistance force on the axle, we can use the concept of mechanical advantage. The mechanical advantage of a wheel and axle system is given by the ratio of the radius of the wheel to the radius of the axle.
In this case, the radius of the wheel is 20 cm, and the radius of the axle is 1 cm. Therefore, the mechanical advantage of the system is:
Mechanical Advantage = Radius of Wheel / Radius of Axle
Mechanical Advantage = 20 cm / 1 cm
Mechanical Advantage = 20
Now, we can use the equation for mechanical advantage:
Mechanical Advantage = Resistance Force / Effort Force
Rearranging the equation, we get:
Resistance Force = Mechanical Advantage * Effort Force
Substituting the given values, we have:
Resistance Force = 20 * 100 N
Resistance Force = 2000 N
Therefore, the resistance force on the axle is 2000 N.