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djyliett [7]
3 years ago
12

You have been abducted by aliens and find yourself on a strange planet. Fortunately, you have a meter stick with you. You observ

e that, if the stick oscillates around one end as a physical pendulum, it has a period of 0.85 s. What is the acceleration of gravity on this planet?
Physics
2 answers:
defon3 years ago
0 0

Answer:

36.4276\ m/s^2

Explanation:

m = Mass of stick

L = Length of stick = 1 m

h = Center of mass of stick = \dfrac{1}{2}=0.5\ m

g = Acceleration due to gravity

T = Time period = 0.85 s

Time period is given by

T=2\pi\sqrt{\dfrac{I}{mgh}}

Moment of inertia is given by

I=m\dfrac{L^2}{3}

T=2\pi\sqrt{\dfrac{m\dfrac{L^2}{3}}{mgh}}\\\Rightarrow T=2\pi\sqrt{\dfrac{L^2}{3gh}}\\\Rightarrow g=\dfrac{4\pi^2L^2}{3hT^2}\\\Rightarrow g=\dfrac{4\pi^2\times 1^2}{3\times 0.5\times 0.85^2}\\\Rightarrow g=36.4276\ m/s^2

The acceleration of gravity on this planet is 36.4276\ m/s^2

Bond [772]3 years ago
0 0

Answer:

54.6 m/s^2

Explanation:

length of the pendulum, l = 1 m

time period of the pendulum, T = 0.85 s

According to the formula of time period of pendulum

T = 2\pi \sqrt{\frac{l}{g}}

g = \frac{4\pi ^{2}l}{T^{2}}

g = \frac{4\times 3.14\times 3.14\times 1}{0.85\times 0.85}

g = 54.6 m/s^2

Thus, the acceleration due to gravity at this planet is 54.6 m/s^2.

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