Question

Calculate moment of force when force of 50N acts from a distance of 25cm 1250Nm 125.0Nm 12.50Nm 1.250Nm​

Answer 1

Provided that:

• Force = 50 Newton
• Distance = 25 centimetres

To calculate:

• Moment of force

Solution:

• Moment of force = 12.5 Nm

Using concepts:

• Moment of force formula.
• Formula to convert cm-m.

Using formulas:

• Moment of force formula:

→ MOF = F × Perpendicular distance

• Formula to convert cm-m:

→ 1 cm = 1/100 m

Required solution:

~ Firstly let us convert centimetres into metres by using suitable formula!

»»» 1 cm = 1/100 m

»»» 25 cm = 25/100 m

»»» 25 cm = 0.25 m

• Henceforth, converted!

~ Now let us calculate the moment of force by using suitable formula!

»»» MOF = F × Perpendicular distance

»»» MOF = 50 × 0.25

»»» MOF = 12.50 Newton metre $\:$

»»» Torque = 12.50 Newton metre

»»» τ = 12.50 Newton metre

• Therefore, moment of force is 12.50 metres. Henceforth, option (c) is correct!

Answer 2

Answer:

1.250 Nm

Explanation:

Generally, we easily get fooled by seeing the values directly, i.e., 25 and 50, and directly multiply and get the answer. THIS IS WRONG. You have to make sure that each UNIT is at par with the S.I. System of Units.

You have to look at the units attached to each of the following values.

The unit attached to 50 is N(newton), which is acceptable since it is the S.I. unit of force.

The unit attached next to 25 is cm which is not a part of the S.I. system of units. So, we have to convert it to the S.I. system of length, i.e., m(metres).

We know that 1cm = $\frac{1}{1000}$ m.

So,

25cm = $\frac{1}{1000}$ × 25

          = $\frac{25}{1000} m$

Now,

The moment of force = Force × distance

                                    = 50 × $\frac{25}{1000}$

                                    = 1.250 Nm