The value of g for the given planet is 3.2698m/s.
Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity.
The direction of an object's acceleration is given by the direction of the net force acting on that object.
As described in Newton's second law, the magnitude of an object's acceleration is the combined effect of two sources.
-The mass of this object is inversely proportional to the mass of the object.
-Depending on the material from which it is made.
Solution :
Given data :
[tex]l = 0.65 m[/tex], [tex]T = 2.8 s[/tex], [tex]g = ?[/tex]
Period [tex]T[/tex] of the pendulum is defined as
[tex]T = 2\pi \sqrt \frac{l}{g}[/tex]
where, [tex]l[/tex] is the length of the pendulum
[tex]T[/tex] is the time period
[tex]g[/tex] is the acceleration of gravity
Squaring both side of the equation, we get
[tex]T^{2} = 4\pi ^{2}(\frac{l}{g} )[/tex]
[tex]g = 4*\pi ^{2} *\frac{l}{T^{2} }[/tex]
[tex]g = 4*(3.14)^{2} *\frac{0.65}{(2.8)^{2} }[/tex]
[tex]g = 3.2698 m/s[/tex]
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