Answer to Question #164282 in Physics for Andu

Question

3. Calculate the moment of force F = 5 N, for the case when d1 = 20 cm and d2 = 80 cm. How many times does the rotational effect of the force F increase in the second case compared to the first?

Answer 1

(a)

$$M_1=Fd_1=5\ N\cdot0.2\ m=1.0\ N\cdot m,$$ $$M_2=Fd_2=5\ N\cdot0.8\ m=4.0\ N\cdot m.$$

(b)

$$\dfrac{M_2}{M_1}=\dfrac{4.0\ N\cdot m}{1.0\ N\cdot m}=4.$$

The rotational effect of the force F in the second case 4 times larger compared to the first.