Consider a 0.9 kg object traveling in a circle of radius 6 meters. The object completes 1 circles in 2 seconds traveling at constant speed. What net force is required to sustain this motion? [Hint: 2 is almost equal to 10.]

Sagot :

Mass of the object, m= 0.9 kg and radius of the circular path, r = 6 m and time, T = 2 seconds.

Here, the velocity will be

[tex]\begin{gathered} v=\frac{dis\tan ce}{time} \\ =\frac{2\pi r}{T} \end{gathered}[/tex]

The force required to sustain this motion is

[tex]F=\frac{mv^2}{r}[/tex]

Substituting the value of velocity, we get

[tex]\begin{gathered} F=\frac{m(2\pi r)^2}{rT^2} \\ =\frac{4m\pi^2r}{T^2} \\ =\frac{4\times0.9\times10\times6}{2^2} \\ =54\text{ N} \end{gathered}[/tex]