Question

In steadily turning the water pump, a person exerts

the 120-N force on the handle as shown. Determine
the moment of this force about point O.

Answer 1

Answer: 0.15 x 12 = 1.8

Step-by-step explanation:

as the moment of force is all about the distance move times force applied it is simply illutrate that the the formula of the moment of force is

m = force x perpendicular distance

Answer 2

16.34 Nm

Step-by-step explanation:

Moment: The moment of a force is the product of force and it perpendicular distance. The S.I unit of moment is Nm.

From the diagram,

M = F'd.................... Equation 1

Where m = moment of the force about O, F' = Perpendicular force on the handle, distance, d = distance

Also,

F' = (Fcosα)cosФ.................... Equation 2

Where F = force applied to the handle

Substitute equation 2 into equation 1

M = FcosαcosФ×d.................. Equation 2

Given: F = 120 N, α = 15°, Ф = 20°, d = 150 mm = 0.15 m

Substitute into equation 2

M = 120cos15°cos20°×0.15

M = 120(0.9659)(0.9397)(0.15)

M = 16.34 Nm.