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

gravitational acceleration is 24.69 m/s²

Step-by-step 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{(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{(l)/((T^2)/(4 \pi ^2) ) }`

g =
`\sqrt{(0.81)/((1.138^2)/(4 \pi ^2) ) }`

g = 24.69

so gravitational acceleration is 24.69 m/s²