Question

Suppose that you are on an unknown planet in a distant galaxy, and you are trying to determine the acceleration of gravity of this planet. The length of a physical pendulum be 0.81 m and the measured period was 1.138 s. Determine the gravitational acceleration of this planet?

Answer 1

Answer:

gravitational acceleration is 24.69 m/s²

Explanation:

given data

length = 0.81

time = 1.138 s

to find out

gravitational acceleration

solution

we will apply here time formula that is express as

T = 2π × $\sqrt{\frac{l}{g} }$   ................1

here t is time , l is length and g is gravitational acceleration

so put here all value and find g

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

g =  $\sqrt{\frac{0.81}{\frac{1.138^2}{4 \pi ^2} } }$

g = 24.69

so gravitational acceleration is 24.69 m/s²