Question

A student wants to lift a 250 N bucket of water up from the bottom of a well using a wheel and axle. The wheel has a radius of 75 cm, and the axle has a radius of 20 cm. How much force will the student need to provide to the wheel to turn it and lift the bucket?

A. 66.7 N
B. 37.5 N
C. 1667 N
D. 938 N

Answer 1

66.7 N

Step-by-step explanation:

F(input) x r(input) = F(output) x r(output)

r=radius for wheel and axle problems

F=force

Because it asks for the force on the wheel, we would have the missing variable with the radius of the wheel. Let x be the missing output force. So by plugging in the givens we get:

(250 N) x (20 cm) = x (75 cm)

x= 66.7 N